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    EMPIRICAL BAYES TEST PROBLEM FOR THE PARAMETER OF BURR TYPE XII DISTRIBUTION
    PENG Jialong, ZHAO Yanhui, YUAN Ying
    Journal of Systems Science and Mathematical Sciences    2013, 33 (10): 1199-1209.   DOI: 10.12341/jssms12196
    Abstract916)      PDF (352KB)(3710)       Save
    In this paper, we consider the empirical Bayes (EB) one-sided and two-sided test problems for the parameter of Burr Type XII distribution. The EB test
    rules are constructed by using the recursive kernel estimation of probability density function. The asymptotically optimal property and convergence rates for the proposed EB test rules are obtained under suitable conditions. Finally, an example shows the effectiveness of the main results.
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    Cited: CSCD(2)
    H 1 CONTROL FOR DISCRETE SWITCHED SYSTEMS BY USING SOJOURN-PROBABILITY-DEPENDENT METHOD
    CHEN Hongtian,YUAN Yuehua, TIAN Engang
    Journal of Systems Science and Mathematical Sciences    2015, 35 (4): 429-438.   DOI: 10.12341/jssms12551
    Abstract163)      PDF (354KB)(1876)       Save

    We propose a sojourn-probability-dependent method to investigate $H_\infty$ filtering design for a class of discrete switched systems with time varying delay. A new type of switched system model and filter model is built by using the sojourn probability information. The sufficient condition of $H_\infty$ mean square stability for switched systems is given via Lyapunov functional method. Then robust $H_\infty$ filtering gains are derived. A numerical example is given to demonstrate the effectiveness and applicability of the proposed method.

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    ON THE PROBLEM OF INFORMATION IN ENGINEERING CYBERNETICS
    GAO Zhiqiang
    Journal of Systems Science and Mathematical Sciences    2016, 36 (7): 908-923.   DOI: 10.12341/jssms12817
    Abstract448)      PDF (721KB)(1848)       Save

    Engineering cybernetics is not just about control, but more so about the interplay between information and control. Our understanding of the basic concepts such as feedback and disturbance deepens with a critical reflection on how critical information is recognized and obtained in the context of control design, so does our understanding of the past inventions and design principles. Prof. Jingqing Han, a pioneer, initiated the debate with an article in this journal 27 years ago. Sharing deep concerns regarding the premise on the accurate mathematical model in control theory with Prof. H.S. Tsien, who raised the problem of disturbance and uncertainties in control, Prof. Han made the crucial leap from the model-based design to the information-based design. The ensuing dualistic paradigm of controller-rejector design, with active disturbance rejection control as but one embodiment, provides both a framework and a new technological basis for the renewal and standardization of general purpose industrial control technologies, as well as a path back to the original vision of engineering cybernetics from Prof. Tsien. From the south-pointing chariot\\ to engineering cybernetics, from PID to active disturbance rejection control, from humanity to science and technology, from east to west, an information-centric conceptualization of control has persisted over centuries and is coming to fruition.

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    Cited: CSCD(8)
    ON THE EXISTENCE OF MULTIPLE PERIODIC SOLUTIONS FOR NONAUTONOMOUS HAMILTONIAN SYSTEMS
    GENG DI
    Journal of Systems Science and Mathematical Sciences    1993, 13 (4): 305-316.   DOI: 10.12341/jssms09072
    Abstract1646)      PDF (536KB)(1565)       Save
    We discuss in this paper,the existence problem of periodic solutions of a nonautonomousHamiltonian system,J\dot{z}=G′_z(t,z).(*)We modify the corresponding variational functional with several factors,construct some spe-cial minimax value series and give the sharp estimates of their growth orders.Then we provethat the equation (*) possesses infinitely many periodic solutions when G(t,z)=H(z)+F(t,z) with H′_z(z) being sublinear at z=0 and with F′_z(t,z) being superlinear,and thattheir indices satisfy a certain relation.
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    New Simple Approximation Algorithm of Fixed Point for Nonexpansive Mappings
    SU Yongfu
    Journal of Systems Science and Mathematical Sciences    2010, 30 (5): 659-664.   DOI: 10.12341/jssms08981
    Abstract2184)      PDF (282KB)(1392)       Save
    The purpose of this article is to establish new simple approximative algorithms of fixed point for nonexpansive mappings and to prove new fixed point theorems for nonexpansive mappings in the reflexive Banach spaces. The approximate algorithms presented in this article are simpler than Mann, Ishikawa and Halpern iterative algorithms. The weak and strong convergence theorems are proved respectively. The new fixed point theorems presented here improve and extend the related results of Goebel-Kirk, Kim-Xu and others in some respects.
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    Cited: CSCD(1)
    WEIGHTED MEASUREMENT FUSION KALMAN PREDICTOR FOR THE MULTISENSOR  DESCRIPTOR SYSTEM
    CHEN Jianguo , Ran Chenjian
    Journal of Systems Science and Mathematical Sciences    2013, 33 (12): 1423-1434.   DOI: 10.12341/jssms12218
    Abstract816)      PDF (505KB)(1324)       Save
    For the multi-sensor  descriptor system with correlated measurement noises,the new fused measurement can be obtained by  least square method based on  all measurements. The state equation of the descriptor system can be decomposed into two normal mutual coupling sub-systems by using
      singular value decomposition.  And  the fused  measurement equation  is changed to the measurement of one state component.  Then,   the problem is the state estimation of one-sensor normal system. For the new reduced-order sub-systems,  the weighted measurement fusion  Kalman predictor is presented, by applying   Kalman filtering.    The prediction error variances of the weighted measurement fusion Kalman  predictor for the descriptor system is obtained. This method avoids to compute the cross-variance of  all local predictors, and the accuracy   of fused predictor is higher than that of  local predictors and  state     fusion Kalman predictor. A simulation example of 4-sensor descriptor  system verifies the effectiveness of the method.
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    Cited: CSCD(1)
    ROBUST $H_{\infty}$ CONTROL OF A CLASS OF NONLINEAR SYSTEMS WITH STRUCTURAL UNCERTAINTY
    MO Lipo
    Journal of Systems Science and Mathematical Sciences    2011, 31 (7): 765-774.   DOI: 10.12341/jssms11645
    Abstract2119)      PDF (338KB)(1183)       Save
    For a class of nonlinear systems with structural uncertainties and external disturbances, the robust $H_\infty$ control problem is investigated. By the method of Hamilton-Jaccobi inequality, a new robust $H_\infty$ performance criterion is derived, based on which, a state-feedback controller is designed. Furthermore, it is proved that results of this paper are completely consistent with the classical ones for linear systems. At last, simulation results are provided to demonstrate the effectiveness of the present results.
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    AN OVERVIEW ON THE OUTPUT REGULATION PROBLEM
    HUANG Jie
    Journal of Systems Science and Mathematical Sciences    2011, 31 (9): 1055-1081.   DOI: 10.12341/jssms11689
    Abstract3112)      PDF (293KB)(1164)       Save
    In this paper, we will give an overview on the status of the research on the nonlinear output regulation problem with the emphasis on the establishment of a nonlinear version of the internal model principle and its role in shaping a general framework for handling the nonlinear output regulation problem.
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    Cited: CSCD(1)
    THE DISCRETE FORM OF TRACKING-DIFFERENTIATOR
    Jing Qin HAN;Lu Lin YUAN
    Journal of Systems Science and Mathematical Sciences    1999, 19 (3): 263-273.   DOI: 10.12341/jssms09882
    Abstract2509)      PDF (230KB)(1124)       Save
    In this paper, the synthetic function for the time optimal control of the second-order discretetime system is obtained by the Isochronic Region method. Based on this function, the discrete form of tracking-differentiator is constructed. Numerical simulation shows that this discrete form of tracking-differentiator can quickly trck an input signal without overshoot and chattering and can produce a good differential signal.
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    Cited: CSCD(112)
    Non-Fragile Delay-Dependent Robust $H_\Infty$Control for Uncertain Systems
    Xiao Shenping;Wu Min;Zhang Xianmin
    Journal of Systems Science and Mathematical Sciences    2007, 27 (3): 401-411.   DOI: 10.12341/jssms09474
    Abstract2808)      PDF (399KB)(1110)       Save
    This paper is concerned with the problem of delay-dependent non-fragile Robust $H$-infinite control for uncertain systems. Based on an integral inequality method, a new delay-dependent condition, which can ensure that the closed-loop system is internally stable with a given $H$-infinite disturbance attenuation level via a non-fragile controller, is obtained by using the Lyapunov-Krasovskii stability theory. Then, the design of non-fragile $H$-infinite controller is proposed. No any parameter needs to be tuned. It can be easily solved in terms of linear matrix inequalities (LMI) in Matlab Toolbox. Finally, a numerical simulation is given to show the validity of this approach.
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    THE SELF-CLUSTERING IN COMPLEX SYSTEMS, FUNCTION OF SYSTEMS AND POSITIVE FEEDBACK
    ZHANG Si-Ying
    Journal of Systems Science and Mathematical Sciences    2011, 31 (9): 1045-1051.   DOI: 10.12341/jssms11687
    Abstract2419)      PDF (569KB)(1097)       Save
    In this paper the concept of ``self-clustering" is presented. It is one kind of the self-organizing and widely existing in complex systems. For the function of complex systems, there is a well-known inequality $1+1>2$ , showing that the whole is more than the sum of its parts. Could it seek one more quantitative expression for the function of complex systems? For this purpose a simple but widely representative network model is given. With this model, the process of growing, evolving and emergence of the system can be analyzed and a quantitative/qualitative expression $f(n)=\frac{1}{2}n(n-1)$ for system function can be derived. This expression indicates properties of the system function and gives explanations of some important phenomena.  Such as: $1+1>2$ is a special case of $f(n)$ as $n=2$. Moreover, $f(n)$ shows the nonlinearity obviously.  It also shows that at the initial stage of the process, adding or losing a few components will give rise to notable effect to the system function.  There will be a steady emergence as $n$ increased to a considerable amount.
      Thus, it reveals the change that from the fragility at the initial stage to the robustness accompanying the steady emergence.  In addition, $f(n)$ implies positive feedback.  An expression is given to show this mechanism, which turns out to be the mechanism of "increasing returns" and the mechanism of ``preferential attachment",  leading to the scale-free network structure. Finally, a brief conclusion regarding complexity and simplicity is given.
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    RESEARCH DEVELOPMENT AND ANALYSIS OF BIOMIMETIC ROBOTIC FISH
    WEI Qingping ,WANG Shuo, TAN Min, WANG Yu
    Journal of Systems Science and Mathematical Sciences    2012, 32 (10): 1274-1286.   DOI: 10.12341/jssms11946
    Abstract1315)      PDF (3236KB)(1097)       Save
    Biomimetic robotic fish, as one kind of highly efficient and highly maneuverable underwater robots, achieved the widespread concern of researchers. In this paper, the major research developments in propulsion mechanism and system development of biomimetic robotic fish were presented. Through the analysis, the main issues of biomimetic robotic fish were summarized and the research ideas of propulsion mechanism, mechanism optimization and
    motion control were also emphatically discussed.
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    Cited: CSCD(11)
    RELATIONS BETWEEN SOLID CONES AND CONES SATISFYING ANGLE PROPERLY
    Han Zhiqing
    Journal of Systems Science and Mathematical Sciences    1998, 18 (1): 18-022.   DOI: 10.12341/jssms09985
    Abstract2141)      PDF (238KB)(1091)       Save
    In this paper we prove that if the polar cone Λ* of a closed convex cone Λis sharp or is generated by a closed ball not containing θ, then Λ is solid. We also prove thatquasi--polyhedron cones and cones with non-empty weak-star interior of p
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    ACTIVE DISTURBANCE REJECTION CONTROL: METHODOLOGY AND THEORETICAL ANALYSIS
    HUANG Yi, XUE Wen-Chao, ZHAO Chun-Zhe
    Journal of Systems Science and Mathematical Sciences    2011, 31 (9): 1111-1129.   DOI: 10.12341/jssms11693
    Abstract2879)      PDF (567KB)(1073)       Save
    The paper first gives a comprehensive comparison of the frame of the Active Disturbance Rejection Control (AQDRC) with other methods for controlling uncertain systems, which includes the adaptive control, robust control, disturbance observers based methods, etc. Then the process of theoretical analysis for ADRC, mainly concluding the convergence of the tracking differentiator (TD), the capabilities of the extended state observer (ESO) for estimating
    uncertainties and the performance of the ADRC based closed-loop system is reviewed. Finally, ADRC's contributions to the research of controlling uncertain systems are concluded.
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    Cited: CSCD(30)
    CONSTRUCTION OF GLOBAL WEAK ENTROPY SOLUTION  OF INITIAL-BOUNDARY VALUE PROBLEM FOR  NONCONVEX  SCALAR   CONSERVATION LAWS
    BAI Chao
    Journal of Systems Science and Mathematical Sciences    2011, 31 (7): 817-823.   DOI: 10.12341/jssms11650
    Abstract1843)      PDF (256KB)(1071)       Save
    This paper is concerned with an initial-boundary problem of nonconvex scalar conservation laws with two pieces of constant initial data and
    constant boundary data. Under the condition that the flux function has one inflection point, by the structure of weak entropy solution of the corresponding initial value problem and the boundary entropy condition developed by Bardos-Leroux-Nedelec, we give a construction method for the global weak entropy solution of the initial-boundary value problem and clarify the solution structure nearby the boundary. In contrast to the initial-boundary value problem for strictly convex
    scalar conservation laws, the weak entropy solution of the initial-boundary value problem for nonconvex scalar conservation laws includes the following new interaction type: a contact or non-contact shock collides with the boundary and a new non-contact shock wave rebounds from the boundary.
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    Cited: CSCD(1)
    Journal of Systems Science and Mathematical Sciences    2011, 31 (9): 1014-1018.   DOI: 10.12341/jssms11685
    Abstract1418)      PDF (402KB)(1061)       Save
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    Cited: CSCD(8)
    CONTROL SYNTHESIS AND DYNAMIC ANALYSIS OF COMPLEX NONLINEAR SYSTEMS
    HONG Yi-Guang
    Journal of Systems Science and Mathematical Sciences    2011, 31 (9): 1151-1160.   DOI: 10.12341/jssms11695
    Abstract1687)      PDF (531KB)(1048)       Save
    The theoretical research and practical applications  of complex nonlinear systems and control have drawn more and more ttention following the development of modern science and technologyin various branches of scientific and social areas.  In view of theresearch difficulties and significance in the studies of complexnonlinear systems and control, the paper investigates three key  problems, including nonsmooth systems and control, networked systems
    and control, and analysis and control of criticality.  On the one and, the paper is a brief summary of some of our obtained research results in the related areas. On the other hand, it can also be  viewed as a note to show our gratitude and congratulations to the 50th anniversary of Technical Committee of Control Theory of Chinese Association of Automation.
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    Cited: CSCD(4)
    INTEREST RATE DECISION MODEL BASED ON CVAR BY  CONSIDERING  DECISION-MAKING BEHAVIOR OF THE BORROWER
    YU Hui, ZHEN Xueping
    Journal of Systems Science and Mathematical Sciences    2011, 31 (10): 1269-1278.   DOI: 10.12341/jssms11706
    Abstract1419)      PDF (513KB)(1048)       Save
    Interest rate is one of the important indicators for banks and other financial institutions to balance the risks  and gains.  In this paper, based on the  decision-making behavior of the borrower,  a model for interest rate decision based  on the conditional value-at-risk (CVaR) is established,  and   the optimal interest rate is obtained.  Numerical analysis shows that  the level of risk aversion directly effects interest rate decision;  CVaR could help banks to balance profit and risk; borrowers'  profit rate and internal capital are the key factors for bank evading risk.
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    EXISTENCE OF THREE POSITIVE SOLUTIONS FOR  THIRD-ORDER DIFFERENTIAL EQUATIONS OF BOUNDARY VALUE PROBLEM
     WITH P-LAPLACIAN
    ZHANG Lixin, GE Weigao
    Journal of Systems Science and Mathematical Sciences    2011, 31 (7): 837-844.   DOI: 10.12341/jssms11652
    Abstract1920)      PDF (233KB)(1047)       Save
    In this paper, a third-order three-point boundary value problem with \emph{p}-Laplacian is considered. By using Avery-Peterson fixed point theorem, it is proven that there exist at least three positive solutions for the above problem, when $f$ satisfies some growth conditions.
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    A SURVEY AND TAXONOMY ON HYBRID ALGORITHMS BASED ON PARTICLE SWARM OPTIMIZATION AND DIFFERENTIAL EVOLUTION
    XIN Bin, CHEN Jie
    Journal of Systems Science and Mathematical Sciences    2011, 31 (9): 1130-1150.   DOI: 10.12341/jssms11694
    Abstract1743)      PDF (645KB)(1033)       Save
    Improving the performance of optimization algorithms has long been an important pursuit of researchers. It is a typical design idea and paradigm to combine different optimizers for a synergy of their complementary advantages. Regarding two kinds of population-based evolutionary algorithms, the particle swarm optimizer (PSO) and the differential evolution (DE), we present a systematic and comprehensive survey on their hybrids (DEPSOs) in the literature and propose a taxonomy of hybridization strategies.  Based on the taxonomy, we make a classification of different DEPSOs and analyze their similarities and differences.  We also point out some new directions for future research and provide several guidelines for hybridization design of optimizers.
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    Cited: CSCD(6)
    PRACTICAL OUTPUT TRACKING CONTROL FOR A CLASS OF NONLINEAR FEEDFORWARD SYSTEMS
    BI Weiping, ZHANG Junfeng
    Journal of Systems Science and Mathematical Sciences    2011, 31 (7): 775-785.   DOI: 10.12341/jssms11646
    Abstract1569)      PDF (349KB)(1012)       Save
    This paper is concerned with the practical  tracking control of nonlinear feedforward systems by  using the homogeneous systems theory,  and a
     homogeneous domination approach is proposed to solve the tracking problem. The nonlinear systems in this paper are high-order and the
     unmeasurable states are of the form of high-order growth. The proposed controller does not depend on the  reference signals, and so that the error is small enough. Finally, the simulations illustrate the effectiveness of the result.
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    Cited: CSCD(1)
    THE ML ESTIMATOR OF DISPERSION EFFECTS IN  UNREPLICATED FACTORIAL EXPERIMENTS
    WANG Yu, LI Jihong, FENG Xia
    Journal of Systems Science and Mathematical Sciences    2011, 31 (7): 804-816.   DOI: 10.12341/jssms11649
    Abstract1618)      PDF (397KB)(1009)       Save
    In unreplicated factorial experiments, if the dispersion effects of factors $A, B$ are active, the existing estimators of dispersion effects are often biased whether or not the dispersion effect of interaction factor $AB$ is active. This results  in $AB$ be spuriously identified active factor. In this paper, we propose a new estimator of dispersion effects (called the ML estimator), and give the exact expression of the variance of ML estimator. We prove that the ML
    estimator of dispersion effect of interaction factor $AB$ is unbiased in a class of models. Finally, a comparison is given between the ML estimator and the existing and commonly used estimators.
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    A MECHANICAL PROVING SYSTEM FOR CONSTRUCTIBLE THEOREMS IN ELEMENTARY GEOMETRY
    WANG DONG-MING ;HU SEN
    Journal of Systems Science and Mathematical Sciences    1987, 7 (2): 163-172.   DOI: 10.12341/jssms08795
    Abstract1627)      PDF (459KB)(1007)       Save
    In this paper,we point out that Hilbert's Mechanization Theorem may be extended to allconstructible theorems which can be mechanically proved in the same way by adjoining somenew constructive types.Using the Theorem-Prover built by the authors in rearranging thesteps of Wu's algorithm,many non-trivial theorems have been proved and some new resultshave also been discovered independently.
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    Zero Decomposition with Multiplicity of Zero-Dimensional Polynomial Systems
    LI Yinglin;XIA Bican;ZHANG Zhihai
    Journal of Systems Science and Mathematical Sciences    2010, 30 (11): 1491-1500.   DOI: 10.12341/jssms09284
    Abstract1992)      PDF (418KB)(1001)       Save
    This paper presents a zero decomposition theorem and algorithm based on Wu's method, which computes a zero decomposition with invarint multiplicity for a given zero-dimensional polynomial system. It is shown that the zero decomposition is of triangular form if the system satisfies some assumption.
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    SOME APPLICATIONS OF GRAPH THEORY APPROACH TO THE STUDY OF DISCRETE-EVENT DYNAMIC SYSTEMS
    CAI MAO-CHENG;TIAN FENG;MA ZHONG-FAN
    Journal of Systems Science and Mathematical Sciences    1995, 15 (3): 208-211.   DOI: 10.12341/jssms09152
    Abstract2500)      PDF (250KB)(999)       Save
    Since many discrete production processes can be described by using discretevent systems, discrete event dynamic systems have a very strong background of applications,for instance, application to flexible manufacturing systems. So great attention has been paid to discrete-event dynamic systems both domestically and internationally, deep studies were made,and a number of meaningful results were obtained. In this paper we try to give explanatory notes and new proofs for some important results by using the graph theory viewpoint and methods,and attempt to go further into the application of graph theory to the study of discrete-event dynamic systems.
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    Cited: CSCD(2)
    A New Approach of Adaptive $H^{\Infty}$ Control for a Class ofUncertain Nonlinear Time--Delay System with Multiple Time Delayand Uncertain Input Delay
    Chai Lin;Fei Shumin
    Journal of Systems Science and Mathematical Sciences    2007, 27 (6): 880-891.   DOI: 10.12341/jssms10029
    Abstract2724)      PDF (503KB)(996)       Save
    A method of LMI, a kind of Lyapunov-Krasovskii functional, which is based on ``descriptor form", and a new type of memory state feedback controller are used to solve the problem of $H^{\infty}$ controller, designing new adaptive strategies for two unknown constant: input delay and up bound for norm of the uncertain nonlinear part. This type of strategy isn't limited in the estimate value as that of the old adaptive controllers and manages to avoid calculating ``adjusting constant", which guarantees the limitation as the old adaptive
    controllers, by reflecting difference between the estimate value and the value being close to the practical. The sufficient condition of its solution is given with a numerical example.
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    Analysis of Manufacturing Cost Misreporting Behavior of Manufacturer Under Consignment Contract with Revenue Sharing
    LI Dan;TANG Jiafu;ZANG Jie
    Journal of Systems Science and Mathematical Sciences    2011, 31 (1): 13-020.   DOI: 10.12341/jssms09441
    Abstract2164)      PDF (434KB)(992)       Save
    The two-echelon supply chain under stochastic manufacturing demand has
    a single component supplier selling to a single manufacturer. The model with perpetual manufacturing demand and many replenishment opportunities is considered by analytic method. The problem can be modeled as a supplier-led Stackelberg dynamic game. Supply chain performances under consignment and non-consignment are considered respectively. The supplier, acting as a designer
    of supply chain, offers the manufacturer a backorder penalty cost share allocation, and then the manufacturer decides the optimal base stock level. In this paper the following conclusions are obtained. Under consignment, there is a unique equilibrium solution in the game, and the supply chain system is optimal. Under non-consignment, there is a unique equilibrium solution in the game, and the supply chain system is optimal. Supply chain performance under consignment is superior to that under non-consignment.
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    Cited: CSCD(3)
    CONSTRUCTION OF THE REGULAR EXPONENTIAL FAMILY WITH POLYNOMIAL VARIANCE FUNCTION
    WU CHUAN-YI
    Journal of Systems Science and Mathematical Sciences    1987, 7 (4): 344-351.   DOI: 10.12341/jssms08789
    Abstract1471)      PDF (356KB)(952)       Save
    The regular exponential family(REF),that is,the natural exponential family with mini-murn-dimension and with the mean function m=Eex taken as a new parameter is discussed inthis paper.The importance of the REF with polynomial variance function (PVF-REF) ispointed out.When m is a single factor of PVF and the left-end of its defined domain is zero,thecorresponding REF is given as the single-side lattice distribution family.Other PVF-REF canbe obtained from a limit process.As an illustration,the results for all seven cases of P(3)VF aregiven.
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    LEAST SQUARE ESTIMATION WITH LINEAR INEQUALITY CONSTRAINTS
    XU WENYUAN WANG DONGQIAN
    Journal of Systems Science and Mathematical Sciences    1984, 4 (1): 55-062.   DOI: 10.12341/jssms09294
    Abstract2052)      PDF (342KB)(951)       Save
    A new method for searching for the solution to the least square estimation withlinear inequality constraints is proposed on the basis of sufficient or necessary con-ditions of the solution given in this paper.Compared with enumeration the newapproach can significantly decrese calculation.Finally the applicability of the sug-gested method is illustrated with a numerical example.
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    ON STRICTLY EFFICIENT POINTS OF A SET IN A NORMED LINEAR SPACE
    Fu Wantao
    Journal of Systems Science and Mathematical Sciences    1997, 17 (4): 324-329.   DOI: 10.12341/jssms09588
    Abstract1923)      PDF (344KB)(948)       Save
    in this paper, we introduce a new concept, the strictly efficient point, in vector optimization in Banach spaces. This concept is shown to have many desirable properties and to be an extension of the super efficient point in Borwein's sense. Par
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    Cited: CSCD(26)
    WHITE NOISE FUNCTIONAL SOLUTIONS FOR WICK-TYPE STOCHASTIC MACCARI SYSTEM
    WANG Tao, WANG Xiankun
    Journal of Systems Science and Mathematical Sciences    2013, 33 (11): 1293-1300.   DOI: 10.12341/jssms12206
    Abstract596)      PDF (284KB)(944)       Save
    The problem of exact solutions for Maccari system in stochastic environment is studied. By using Hermite transform in Kondratiev distribution space $({\mathcal {S}})_{-1}$ and the generalized $F$ expansion method, the Wick versions of white noise functional solutions for the Wick-type stochastic Maccari system and exact solutions for variable cofficient Maccari system are obtained.
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    PREEMPTIVE SCHEDULING WITH DEADLINES ON PARALLEL MACHINES
    ZHONG Xueling, WANG Guoqing, CHENG Mingbao, LI Xiaochun
    Journal of Systems Science and Mathematical Sciences    2011, 31 (7): 794-803.   DOI: 10.12341/jssms11648
    Abstract1570)      PDF (395KB)(939)       Save
    This paper discusses the problem that $n$ jobs with their own deadlines have to be processed on  identical machines considering the idle insert. The objective is to find a preemptive job sequence so  as to minimize the total earliness. The complexity is considered firstly,  and the problem is proved
      strongly NP-hard through the induction of 3-partition problem. Then,  the special case of common deadline  is discussed. Since tardy jobs are prohibited,  it's possible that there is no feasible sequence for the  problem. The feasibility is considered primarily. If the problem is feasible,  a polynomial time algorithm
         is developed to achieve optimality.
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    NEW MULTI-PERIOD PORTFOLIO SELECTION MODELS UNDER THE FACTOR MODEL
    WANG Yanping, CHEN Zhiping, CHEN Yuna
    Journal of Systems Science and Mathematical Sciences    2011, 31 (7): 824-836.   DOI: 10.12341/jssms11651
    Abstract1778)      PDF (426KB)(931)       Save
    By combining the single-factor model and the multi-period mean-variance model, we first propose a new multi-period mean-variance model
    under the single-factor model, and obtain its explicit optimal investment strategy by using the quadratic programming technique. As a generalization of
    these conclusions, we then extend the above model to the multi-factor model situation and derive similar conclusions. Finally, some numerical examples show the effectiveness of the theoretical results.  
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    ANALYSIS OF AN ALAGE MODEL IN FRESHWATER LAKE
    CUI Jingan, ZHAO Xiumei
    Journal of Systems Science and Mathematical Sciences    2012, 32 (4): 496-505.   DOI: 10.12341/jssms11868
    Abstract1421)      PDF (383KB)(924)       Save
    In this paper, we establish a model where fish feeded on algae on the base of the non-traditional biomanipulation method. We consider the effect of lake temperature in the model because greenhouse effect has become increasingly prominent due to the climate change,and the growth of fish and algae are all related to temperature of lake water. We analyze the existence and stability of the equilibrium. The threshold for algae and fish extinction are obtained  espectively, the implication of these results are discussed.
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    IDENTIFICATION OF SEVERAL CLASSES OF STOCHASTIC NONLINEAR SYSTEMS
    CHEN Han-Fu, ZHAO Wen-Xiao
    Journal of Systems Science and Mathematical Sciences    2011, 31 (9): 1019-1044.   DOI: 10.12341/jssms11686
    Abstract1531)      PDF (711KB)(921)       Save
    Identification of several classes of stochastic nonlinear systems, i.e., the Wiener system, the Hammerstein system and the nonlinear ARX system, is considered. First, existing recursive and nonrecursive algorithms for identifying these systems are briefly summarized. Then, a unified framework to recursively identify these systems is introduced. Based on the Markov chains and mixing properties connected with these systems, the identification is transformed into root searching problems. Finally, identification algorithms based on stochastic approximation with expanding truncations are introduced
    and strong consistency of estimates is established. The theoretical results are verified by simulation examples.
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    Cited: CSCD(2)
    HUANG Lin
    Journal of Systems Science and Mathematical Sciences    2011, 31 (9): 1052-1054.   DOI: 10.12341/jssms11688
    Abstract1002)      PDF (348KB)(918)       Save
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    CONTROL THEORY,IS IT A MODEL ANALYSIS APPROACH OR A DIRECT CONTROL APPROACH?
    HAN JING-QING
    Journal of Systems Science and Mathematical Sciences    1989, 9 (4): 328-336.   DOI: 10.12341/jssms08569
    Abstract2325)      PDF (465KB)(917)       Save
    Observing the development of the control theory one sees that there are basically two diff-erent approaches:Model Analysis and Direct Control Approach.In the past three decades themodel analysis approach has been the dominating one,while the classical regulation theory andthe guidance theory,etc.are of Direct Control Approach.There is no clear line between the linearity and non-linearity in control systems.The pur-pose of the control is,more or less,a kind of time-varying process of optimization;it is not aglobal system optimization.The value of feedback is not necessarily a function of state variables;it may be some time-varying quantity.To solve the problems of robustness and adaptability of control systems,it is necessary toget rid of the mathematical model of the systems,and to find the control law,which does notdepend on particular expressions of the system.
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    Cited: CSCD(41)
    CONVERGENCE OF GENERALIZED SUGENO INTEGRALS ON QUASI-ADDITIVE MEASURE SPACE
    WANG Guijun, LI Xiaoping
    Journal of Systems Science and Mathematical Sciences    2011, 31 (7): 872-878.   DOI: 10.12341/jssms11655
    Abstract2117)      PDF (322KB)(914)       Save
    On quasi-additive measure space, the generalized Sugeno integral is defined again by introducing the induced operator and the quasi-multiplication operator. For the sequence of measurable functions which converges in quasi-additive measure,   the convergence of generalized Sugeno integrals is obtained by means of the operation of the quasi-additive and quasi-multiplication operator. Finally, the monotone increasing convergence
    theorem of this kind of integrals is given.  
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    Cited: CSCD(2)
    Adaptive Controller Design for a Class of Nonlinear Time-Delay Systems Based on RBF Neural Networks
    LI Shurong;ZHENG Jian
    Journal of Systems Science and Mathematical Sciences    2010, 30 (5): 577-592.   DOI: 10.12341/jssms08973
    Abstract2377)      PDF (526KB)(910)       Save
    An adaptive neural network controller is presented for a class of strict-feedback nonlinear time-delay systems with unknown nonlinear functions. A radial basis function neural network is chosen to approximate the unknown nonlinear functions in this paper. The developed control scheme is able to guarantee global uniform ultimate boundedness of all the signals in the closed-loop systems.
    The tracking error is proven to converge to a small compact set. A simulation example illustrates the effectiveness of the proposed approach.
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    THE STABILITY OF LARGE-SCALE VOLTERRA INTEGRODIFFERENTIAL SYSTEMS
    XU DAO-YI;XIE ZUN-SHI
    Journal of Systems Science and Mathematical Sciences    1991, 11 (2): 107-116.   DOI: 10.12341/jssms08626
    Abstract2252)      PDF (347KB)(903)       Save
    A Liapunov-type theorem is given for the stability of functional differential systems withinfinite delays.By this theorem some stability criteria are obtained for large scale Volterraintegrodifferential systems.The obtained critera improve the relevant results by T.A.Burton(1985) and G.S.Jordan(1979).
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