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    1. VIABILITY CRITERIA FOR DIFFERENTIAL INCLUSIONS
    Yan GAO
    Journal of Systems Science and Complexity    2011, 24 (5): 825-834.   DOI: 10.1007/s11424-011-9056-6
    摘要1718)      PDF (176KB)(1249)    收藏
    A method of verifying the viability criterion at a given point for a region with nonsmooth boundary, which is expressed by a quasidifferentiabl function, under a differential inclusion which is a convex hull of finitely many functions, is proposed. By this method, determining the viability is transformed into solving
    a number of systems of linear inequalities, or equivalently solving a number of linear programming problems. For the other differential inclusion, called the generalized convex process, it is shown that viability condition holds for a polytope if and only if it holds at all of its vertices. This result is an extension of
    corresponding one for a linear control system.
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    被引次数: Baidu(46)
    2. A KIND OF FUZZY MULTI-OBJECTIVE LINEAR PROGRAMMING PSOBLEMS BASED ON INTER VALVALUED FUZZY SETS
    Jiu Ping XU
    Journal of Systems Science and Complexity    2001, 14 (2): 149-158.  
    摘要1360)      PDF (620KB)(414)    收藏
    This paper presents a general solution procedure and an interactive fuzzy satisfying method for a kind of fuzzy multi-objective linear programming-problems based on interval valued fuzzy sets. Firstly, a fuzzy set of the fuzzy solutions, which can be focused on providing complete information for the final decision,can be obtained by the proposed tolerance analysis of a non-dominated set.
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    被引次数: Baidu(45)
    3. A SINGLE SERVER RETRIAL QUEUE WITH GENERAL RETRIAL TIMES AND TWO-PHASE SERVICE
    Jinting WANG;Jianghua LI
    Journal of Systems Science and Complexity    2009, 22 (2): 291-302.  
    摘要1291)      PDF (155KB)(874)    收藏
    An $M/G/1$ retrial queue with a first-come-first-served (FCFS) orbit, general retrial time, two-phase service and server breakdown is investigated in this paper. Customers are allowed to balk and renege at particular times. Assume that the customers who find the server busy are queued in the orbit in accordance with an
    FCFS discipline. All customers demand the first ``essential" service, whereas only some of them demand the second ``optional" service, and the second service is multi-optional. During the service, the server is subject to breakdown and repair. Assume
    that the retrial time, the service time, and the repair time of the server are all arbitrarily distributed. By using the supplementary variables method, the authors obtain the steady-state solutions for both queueing and reliability measures
    of interest.
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    被引次数: Baidu(43)
    4. THE COMPLEXITY OF LIMIT LANGUAGES OF CELLULAR AUTOMATA: AN EXAMPLE
    Hui Min XIE
    Journal of Systems Science and Complexity    2001, 14 (1): 17-030.  
    摘要1634)      PDF (831KB)(369)    收藏
    The limit inguages of cellular automata are defined and their complexity are discussed. New tools, which include skew evolution, skew periodic string, trace string, some algebraic calculation method, and restricted membership problem, are developed through a discussion focusing on the limit language of an elementary cellular automata of rule 94.
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    被引次数: Baidu(29)
    5. NECESSARY AND SUFFICIENT CONDITION FOR GLOBAL CONTROLLABILITY OF A CLASS OF AFFINE NONLINEAR SYSTEMS
    Yimin SUN;Shengwei MEI;Qiang LU
    Journal of Systems Science and Complexity    2007, 20 (4): 492-500.  
    摘要1562)      PDF (218KB)(772)    收藏
    In this paper, we investigate the global controllability of a class of $n$-dimensional affine nonlinear systems with $n-1$ controls and constant control matrix. A necessary and sufficient condition for its global controllability has been obtained by
    using the methods recently developed. Furthermore, we generalize the above result to a class of affine nonlinear systems with a block-triangular-like structure. Finally, we will give three examples to show the applications of our results.
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    被引次数: Baidu(29)
    6. HARD DISK DRIVES CONTROL IN MOBILE APPLICATIONS
    Shuzhi Sam GE;Beibei REN;Tong Heng LEE
    Journal of Systems Science and Complexity    2007, 20 (2): 215-224.  
    摘要1517)      PDF (350KB)(1032)    收藏
    In this paper, control design is investigated for hard disk
    drives in mobile applications with unknown external arbitrarily
    fast time-varying disturbances. The disturbances can be estimated
    with exponential accuracy using the proposed disturbance observer
    based on a series of integral filters. The position error signal
    will converge to zero with the proposed control technique for
    systems subjected to the unknown disturbances. The effectiveness
    of the proposed method is demonstrated by extensive simulation
    studies.
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    被引次数: Baidu(19)
    7. ADAPTIVE PRACTICAL TRACKING CONTROL BY OUTPUT FEEDBACK FOR ACLASS OF NONLINEAR SYSTEMS
    Fang SHANG;Yungang LIU;Chenghui ZHANG
    Journal of Systems Science and Complexity    2010, 23 (6): 1210-1220.   DOI: 10.1007/s11424-010-7243-5
    摘要1419)      PDF (373KB)(688)    收藏
    This paper investigates the problem of adaptive practical
    tracking control by output feedback for a class of nonlinear
    systems in which the nonlinearities are restricted to be upper
    bounded by a constant plus a polynomial function of the output
    multiplied by unmeasured states. To solve the problem, an observer
    with a dynamic high-gain is first introduced, and then an adaptive
    output feedback tracking controller is successfully designed using
    the universal control methodology. It is shown that all the states
    of the closed-loop system are bounded, and the tracking error can
    be made arbitrarily small by an appropriate choice of the design
    parameters after some large enough time. A simulation example is
    also provided to illustrate the correctness of the theoretical
    results.
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    被引次数: Baidu(18)
    8. REGULARITY AND RECURRENCE OF SWITCHING DIFFUSIONS
    George YIN;Chao ZHU
    Journal of Systems Science and Complexity    2007, 20 (2): 273-283.  
    摘要1438)      PDF (206KB)(954)    收藏
    This work is concerned with switching diffusion
    processes, also known as
    regime-switching diffusions.
    Our attention focuses on regularity, recurrence, and positive recurrence
    of the underlying stochastic processes. The main effort is devoted to
    obtaining easily verifiable conditions for the aforementioned
    properties. Continuous-state-dependent jump processes are considered.
    First general criteria on regularity and recurrence using Liapunov
    functions are obtained. Then we focus on a class of problems, in
    which
    both the drift and the diffusion
    coefficients are ``linearizable" with respect to the continuous
    state, and suppose that the generator of the jump part of the
    process can be approximated by a generator of an ergodic Markov
    chain. Sufficient conditions for regularity, recurrence, and
    positive recurrence are derived, which are
    linear combination of the averaged coefficients (averaged with
    respect to the stationary measure of the Markov chain).
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    被引次数: Baidu(18)
    9. ASSESSMENT OF LOCAL INFLUENCE FOR F-TESTIN LINEAR REGRESSION MODEL
    Lei SHI
    Journal of Systems Science and Complexity    1999, 12 (1): 33-039.  
    摘要1598)      PDF (381KB)(197)    收藏
    In linear regression model, the influence on the regression coefficients has beed paid great attention and other aspects such as the influence on confidence regions have also been studied. However, influence on F-test in linear regression model received few xonsideration.
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    被引次数: Baidu(17)
    10. THE ALGEBRAIC CRITERIA FOR THE ASYMPTOTIC BEHAVIOR OF COOPERATIVE SYSTEMS WITH CONCAVE NONLINEARITIES
    JIANG Jifa
    Journal of Systems Science and Complexity    1993, 6 (3): 193-208.  
    摘要1478)      PDF (871KB)(645)    收藏
    For the discrete dynamical system on the nonnegative orthant generated bya cooperative and concave map T, we present an algebraic criterion of its asymptotic behavior. The global behavior of such a system is completely determined by the sign of all principal minors of the matrix I-DT(0). This criterion applies to the cooperative systemwhich is concave, time-dependent and periodic in t. We give the sufficient conditions that the zero solution of such a system is globally asymptotically stable and that it possesses anonzero periodic solution which attracts all initial conditions in the nonnegative orthant, except at the origin. The results of Smith under weaker conditions and some applications are included.
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    被引次数: Baidu(15)
    11. FRUIT NUTRITIVE FACTOR NETWORK
    Yanqing QU;Yumei JIANG;Daren HE
    Journal of Systems Science and Complexity    2009, 22 (1): 150-158.  
    摘要1480)      PDF (206KB)(609)    收藏
    As an research example of the widely existing cooperation-competition systems, the authors present an empirical investigation on a fruit nutritive factor network. It is described by a node-weighted bipartite graph. The fruit nutritive factors are defined as the nodes, and two nodes are connected by an edge if at least one fruit contains
    these two nutritive factors. The fruits are defined as the collaboration acts. The node-weight $W_{nt}$, which signifies the ``importance degree'' of each actor node, is defined as the content of a nutritive factor in a fruit. The empirical investigation results show some unique features. The node-weight distributions take so-called ``shifted power law" function forms, but the act-weight distribution takes a normal form. The
    degree and act-degree distributions show impulsive-spectrum like forms. These observations may be helpful for the study of fruits. The network description method proposed in this article may be universal for a kind of cooperation-competition systems.
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    被引次数: Baidu(15)
    12. BOOLEAN LATTICE CONDITIONS OF SYSTEM RECONSTRUCTABILITY ANALYSIS PROBLEMS WITH LOGICAL RELATIONS
    SHU Guangfu
    Journal of Systems Science and Complexity    1993, 6 (1): 88-096.  
    摘要1232)      PDF (546KB)(862)    收藏
    The concepts of logically constrained overall systems and subsystems of recon-structability analysis are introduced. Then the paper gave an important basis for furtherresearches of the author-the sufficient conditions for their structural representation graphsto become Boolean lattices, and proved it.
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    被引次数: Baidu(14)
    13. ROBUST OUTPUT FEEDBACK STABILIZATION OF NONLINEAR NETWORKED SYSTEMS VIA A FINITE DATA-RATE COMMUNICATION CHANNEL
    Teddy M. CHENG
    Journal of Systems Science and Complexity    2011, 24 (1): 1-013.   DOI: 10.1007/s11424-011-8397-5
    摘要1568)      PDF (268KB)(623)    收藏
    This paper addresses a robust stabilization problem of a class of uncertain nonlinear systems using output measurements via a finite data-rate communication channel. The authors assumes that there exist an observer and a control law for the systems in the absence of any finite data-rate communication channel. Based on the observer and the control law, the authors constructs an encoder/decoder pair and provides a sufficient condition, including suitable sampling period and data rate, which will guarantee the stability of the closed-loop systems when a finite
    data-rate communication channel is introduced.
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    被引次数: Baidu(7)
    14. CONDITIONS FOR UNIFORMLY NON-CONFOUNDING OF CAUSAL DISTRIBUTION EFFECTS OVER MULTIPLE COVARIATES
    Xueli WANG
    Journal of Systems Science and Complexity    2010, 23 (4): 796-803.   DOI: 10.1007/s11424-010-8417-x
    摘要1376)      PDF (205KB)(453)    收藏
    Causation is a distinct concept from association and more important than association in epidemiologic studies. This paper proposes the concept of uniform non-confounding for causal distribution effects over multiple covariates, and gives the sufficient conditions for uniform non-confounding over a covariate
    set C including confounders or non-confounders, and also shows the conditions for conditionally non-confounding in the subpopulations. All these conditions can be tested by observed data.
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    被引次数: Baidu(6)
    15. NATREX AND DETERMINATION OF REAL EXCHANGE RATE OF RMB
    Holger van Eden;Bin LIU;Gerbert Romyn;Xiao Guang YANG
    Journal of Systems Science and Complexity    2001, 14 (4): 356-372.  
    摘要1683)      PDF (1131KB)(531)    收藏
    In this paper, we analyze the movements of the real exchange rate in China. Our empirical evidence shows that the purchasing power parity does not hold in the long run, and the real exchange rate is non-stationary. The decomposition of the movements of the real exchange rate is non-stationary.
    相关文章 | 多维度评价
    被引次数: Baidu(6)
    16. THE RATE OF UNIFORM CONVERGENCE OF THE SURVIVAL FUNCTION ESTIMATOR FOR TRUNCATED AND CENSORED DATA
    Liu Quan SUN
    Journal of Systems Science and Complexity    2001, 14 (1): 93-105.  
    摘要1530)      PDF (522KB)(237)    收藏
    For left truncated and right censored data, based on a strong representation of the product-limit estimator of the survival function, we derive the sufficient and necessary condition for the rate of strong uniform convergence of the product-limit estimator over the whole line.
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    被引次数: Baidu(4)
    17. A NOTE ON THE MODEL REFERENCE ADAPTIVE CONTROL OF LINEAR PARABOLIC SYSTEMS WITH CONSTANT COEFFICIENTS
    Chaohua JIA
    Journal of Systems Science and Complexity    2011, 24 (6): 1110-1117.   DOI: 10.1007/s11424-011-0042-9
    摘要988)      PDF (159KB)(535)    收藏
    The problem of constructing a model reference adaptive control law for an uncertain 1-dimensional parabolic system with  one
    constant coefficient is considered in this paper. Adaptive control law are obtained by Lyapunov redesign method. The energy method for
    parabolic systems and the Agmon's inequality are applied in the analysis, which leads to a stronger result than that of Hong and
    Bentsman (Automatica, 1994).
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    被引次数: Baidu(4)
    18. A ONE-PARAMETER FILLED FUNCTION FOR NONSMOOTH GLOBALOPTIMIZATION AND ITS APPLICATION
    Ying ZHANG;Liansheng ZHANG;Yingtao XU
    Journal of Systems Science and Complexity    2010, 23 (6): 1195-1209.   DOI: 10.1007/s11424-010-7199-5
    摘要1200)      PDF (341KB)(575)    收藏
    This paper presents a modified definition of the filled
    function for finding a global minimizer of a nonsmooth function on
    a closed bounded set, and then give a one-parameter filled
    function. Theoretical and numerical properties of the proposed
    filled function are investigated and a corresponding solution
    algorithm is proposed. The proposed filled function's parameter is
    easier to be appropriately chosen than previous functions in
    literatures. Numerical results obtained indicate the efficiency of
    the proposed filled function method. An improved fingerprint
    recognition method using global filled function is also
    reported.
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    被引次数: Baidu(4)
    19. ADAPTIVE PRACTICAL OUTPUT MANEUVERING CONTROL FOR A CLASS OF NONLINEAR SYSTEMS
    Chunling WEI;Yuqiang WU;Shumin FEI
    Journal of Systems Science and Complexity    2007, 20 (1): 75-84.  
    摘要1567)      PDF (258KB)(738)    收藏
    This paper deals with the adaptive practical output
    maneuvering control problems for a class of nonlinear systems with
    uncontrollable unstable linearization. The objective is to design
    a smooth adaptive maneuvering controller to solve the geometric
    and dynamic tasks with an arbitrary small steady tracking error.
    The method of adding a power integrator and the robust recursive
    design technique are employed to force the system output to track
    a desired path and make the tracking speed to follow a desired
    speed along the path. An example is considered and simulation
    results are given. The proposed design procedure can be
    illustrated by the use of this example.
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    被引次数: Baidu(3)
    20. THE RECONSTRUCTION OF AN HERMITIAN TOEPLITZ MATRIX WITH PRESCRIBED EIGENPAIRS
    Zhongyun LIU;Lu CHEN;Yulin ZHANG
    Journal of Systems Science and Complexity    2010, 23 (5): 961-970.   DOI: 10.1007/s11424-010-0212-1
    摘要1271)      PDF (192KB)(409)    收藏
    This paper concerns the reconstruction of an hermitian Toeplitz matrix with prescribed eigenpairs. Based on the fact that every centrohermitian matrix can be reduced to a real matrix by a simple similarity transformation, the authors first
    consider the eigenstructure of hermitian Toeplitz matrices and then
    discuss a related reconstruction problem. The authors show that the
    dimension of the subspace of hermitian Toeplitz matrices with two
    given eigenvectors is at least two and independent of the size of
    the matrix, and the solution of the reconstruction problem of an
    hermitian Toeplitz matrix with two given eigenpairs is unique.
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    被引次数: Baidu(2)
    21. GOOD p-ARY QUASIC-CYCLIC CODES FROM CYCLIC CODES OVER ??p + v??p
    Minjia SHI , Shanlin YANG, Shixin ZHU
    Journal of Systems Science and Complexity    2012, 25 (2): 375-384.   DOI: 10.1007/s11424-012-0076-7
    摘要1001)      PDF (216KB)(550)    收藏
    This paper introduces a Gray map from (??p+v??p)n to ??2n p , and describes the relationship between codes over ??p + v??p and their Gray images. The authors prove that every cyclic code of arbitrary length n over ??p + v??p is principal, and determine its generator polynomial as well as the number of cyclic codes. Moreover, the authors obtain many best-known p-ary quasic-cyclic codes in terms of their parameters via the Gray map.
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    被引次数: Baidu(2)
    22. ESTIMATION METHOD FOR SOLUTIONS TO GENERAL LINEAR SYSTEM OF VOLTERRA INTEGRAL INEQUALITIES INVOLVING ITERATED INTEGRAL FUNCTIONALS
    Qing Hua MA;En Hua YANG
    Journal of Systems Science and Complexity    2000, 13 (2): 201-207.  
    摘要1587)      PDF (315KB)(317)    收藏
    An estimation method for solutions to the general linear system of Volterra- type integral inequalities containing several iterated integral functionals is obtained. This method is based on a result proved by the present second author in Journ.
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    被引次数: Baidu(2)
    23. UPPER BOUND FOR FINITE-TIME RUIN PROBABILITY IN A MARKOV-MODULATED MARKET
    Jinzhu LI;Rong WU
    Journal of Systems Science and Complexity    2011, 24 (2): 308-316.   DOI: 10.1007/s11424-010-8348-6
    摘要1547)      PDF (176KB)(886)    收藏
    This paper studies the upper bound for finite-time ruin probability of an insurance company which invests its wealth in a stock and a bond. The authors assume that the interest rate of the bond and the volatility of the stock are modulated by a
    continuous-time stationary Markov chain with finite state. By a pure probabilistic method, the upper bound for the finite-time ruin probability is obtained.
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    被引次数: Baidu(1)
    24. ASYMPTOTIC STABILITY AND RIESZ BASIS PROPERTY FOR TREE-SHAPED NETWORK OF STRINGS
    Yanni GUO;Genqi XU
    Journal of Systems Science and Complexity    2011, 24 (2): 225-252.   DOI: 10.1007/s11424-010-8062-4
    摘要1672)      PDF (360KB)(649)    收藏
    This paper discusses the asymptotic stability and Riesz basis generation for a general tree-shaped network of vibrating strings. All exterior vertices are assumed to be fixed and interior vertices are imposed linear damping feedbacks. This paper shows that the system is well-posed and asymptotically stable by $C_0$-semigroup theory. With some additional conditions, the spectrum of the system
    is shown to be located in a strip that is parallel to the imaginary axis and the set of all generalized eigenfunctions is completed in the state space. These lead to the conclusion that there is a sequence of generalized eigenfunctions of the system, which forms a Riesz basis with parenthesis for the state space.
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    被引次数: Baidu(1)
    25. ON THE COLLISION DETECTION PROBLEM OF TWO MOVING OBJECTS DESCRIBED BY ALGEBRAIC SETS
    Shurong LI;Chunwang HOU
    Journal of Systems Science and Complexity    2007, 20 (1): 108-118.  
    摘要2048)      PDF (230KB)(602)    收藏
    In this paper, the collision problem of two moving objects is
    investigated. The objects are described by two algebraic sets
    (ellipses or circles in the paper). The collision problem discussed
    involves both static and dynamic case. The static case is that each
    object moves with known velocity. We use nonlinear programming to
    decide whether the objects collide. The dynamic case is that each
    object is controlled by a constraint external force which can be
    regulated online. For the dynamic case, the collision problem can be
    modelled as a Minmax problem which can be solved by using differential
    games. If collision occurs, the time and place of the first collision are
    given. The moving trajectories are provided in the paper.
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    被引次数: Baidu(1)