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    1. NONHOMOGENEOUS BOUNDARY VALUE PROBLEMS FOR THE KORTEWEG-DEVRIES EQUATION ON A BOUNDED DOMAIN
    Eugene F. KRAMER;Bingyu ZHANG
    Journal of Systems Science and Complexity    2010, 23 (3): 499-526.   DOI: 10.1007/s11424-010-0143-x
    摘要1270)      PDF (364KB)(914)    收藏
    This paper studies an initial-boundary-value problem (IBVP) of the Korteweg-de Vries equation posed on a finite interval with general nonhomogeneous boundary conditions. Using the strong Kato smoothing property of the associated linear problem, the IBVP is shown to be locally well-posed in the space $H^s (0,1)$ for any $s\geq0$ via the contraction mapping principle.
    相关文章 | 多维度评价
    被引次数: Baidu(263)
    2. SKEWNESS OF RETURN DISTRIBUTION AND COEFFICIENT OF RISK PREMIUM
    Fenghua WEN;Xiaoguang YANG
    Journal of Systems Science and Complexity    2009, 22 (3): 360-371.  
    摘要1681)      PDF (257KB)(1609)    收藏
    The skewness of the return distribution is one of the important features of the security price. In this paper, the authors try to explore the relationship between the skewness and the coefficient of risk premium. The coefficient of the risk premium is estimated by a GARCH-$M$ model, and the robust measurement of skewness is calculated by Groeneveld-Meeden method. The empirical evidences for the composite indexes from 33 securities markets in the world indicate that the risk compensation requirement in the market where the return distribution is positively skewed is virtually zero, and the risk compensation requirement is positive in a significant level in the market where the return distribution is negative skewed. Moreover, the skewness is negatively correlated with the coefficient of the risk premium.
    相关文章 | 多维度评价
    被引次数: Baidu(89)
    3. IMPROVED ALGORITHM FOR MINIMUM DATA AGGREGATION TIME PROBLEM IN WIRELESS SENSOR NETWORKS
    Jianming ZHU ;Xiaodong HU
    Journal of Systems Science and Complexity    2008, 21 (4): 626-636.  
    摘要1562)      PDF (290KB)(1003)    收藏
    Wireless sensor networks promise a new paradigm for gathering data via collaboration among sensors spreading over a large geometrical region. Many applications impose delay requirements for data gathering and ask for time-efficient schedules for aggregating sensed data and sending to the data sink. In this paper, the authors study the minimum data aggregation time problem under collision-free transmission model. In each time round, data sent by a sensor reaches all sensors within its transmission range, but a sensor can receive data only when it is the only data that reaches the sensor. The goal is to find the method that schedules data transmission and aggregation at sensors so that the time for all requested data to be sent to the data sink is minimal. The authors propose a new approximation algorithm for this NP-hard problem with guaranteed performance ratio $\frac{7\Delta}{\log_2{|\mathsf S|}}+c$, which significantly reduces the current best ratio of $\Delta-1$, where $\mathsf S$ is the set of sensors containing source data, $\Delta$ is the maximal number of sensors within the transmission range of any sensor, and $c$ is a constant. The authors also conduct extensive simulation, the obtained results justify the improvement of proposed algorithm over the existing one.
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    被引次数: Baidu(85)
    4. FORWARD-BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS, LINEAR QUADRATIC STOCHASTIC OPTIMAL CONTROL AND NONZERO SUM DIFFERENTIAL GAMES
    WU Zhen
    Journal of Systems Science and Complexity    2005, 18 (2): 179-192.  
    摘要2319)      PDF (139KB)(2611)    收藏
    In this paper, we use the solutions of forward-backward stochastic differential equations to get the explicit form of the optimal control for linear quadratic stochastic optimal control problem and the open-loop Nash equilibrium point for nonzero sum differential games problem. We also discuss the solvability of the generalized Riccati equation system and give the linear feedback regulator for the optimal control problem using the solution of this kind of Riccati equation system.
    相关文章 | 多维度评价
    被引次数: Baidu(82)
    5. BILEVEL PROGRAMMING MODEL AND SOLUTION METHOD FOR MIXED TRANSPORTATION NETWORK DESIGN PROBLEM
    Haozhi ZHANG;Ziyou GAO
    Journal of Systems Science and Complexity    2009, 22 (3): 446-459.  
    摘要1625)      PDF (208KB)(1189)    收藏
    By handling the travel cost function artfully, the authors formulate the transportation mixed network design problem (MNDP) as a mixed-integer, nonlinear bilevel programming problem, in which the lower-level problem, comparing with that of conventional bilevel DNDP models, is not a side constrained user equilibrium
    assignment problem, but a standard user equilibrium assignment problem. Then, the bilevel programming model for MNDP is reformulated as a continuous version of bilevel programming problem by the continuation method. By virtue of the optimal-value
    function, the lower-level assignment problem can be expressed as a nonlinear equality constraint. Therefore, the bilevel programming model for MNDP can be transformed into an equivalent single-level optimization problem. By exploring the inherent nature of the MNDP, the optimal-value function for the lower-level equilibrium assignment problem is proved to be continuously differentiable and its functional value and gradient can be obtained efficiently. Thus, a continuously differentiable but still nonconvex optimization formulation of the MNDP is created, and then a locally convergent algorithm is proposed by applying penalty function method. The inner loop of solving the subproblem is mainly to implement an all-or-nothing assignment. Finally, a small-scale transportation network and a large-scale network are presented to verify the proposed model and algorithm.
    相关文章 | 多维度评价
    被引次数: Baidu(71)
    6. RECENT PROGRESS ON CONTROLLABILITY/OBSERVABILITY FOR SYSTEMSGOVERNED BY PARTIAL DIFFERENTIAL EQUATIONS
    Hongheng LI;Qi L\"U;Xu ZHANG
    Journal of Systems Science and Complexity    2010, 23 (3): 527-545.   DOI: 10.1007/s11424-010-0144-9
    摘要1515)      PDF (301KB)(847)    收藏
    The main purpose of this paper is to overview some recent methods and results on controllability/observability problems for systems governed by partial differential equations. First, the authors review the theory for linear partial differential equations, including the iteration method for the null controllability of the
    time-invariant heat equation and the Rellich-type multiplier method for the exact controllability of the time-invariant wave equation, and especially a unified controllability/observability theory for parabolic and hyperbolic equations based on a global Carleman estimate. Then, the authors present sharp global controllability
    results for both semi-linear parabolic and hyperbolic equations, based on linearization approach, sharp observability estimates for the corresponding linearized systems and the fixed point argument. Finally, the authors survey the local null controllability result for a class of quasilinear parabolic equations based on the global Carleman estimate, and the local exact controllability result for
    general hyperbolic equations based on a new unbounded perturbation technique.
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    被引次数: Baidu(48)
    7. OPTIMAL BINARY CODES FROM ONE-LEE WEIGHT CODES AND TWO-LEE WEIGHT PROJECTIVE CODES OVER Z4
    SHI Minjia , WANG Yu
    Journal of Systems Science and Complexity    2014, 27 (4): 795-810.   DOI: 10.1007/s11424-014-2188-8
    摘要620)      PDF (251KB)(408)    收藏
    This paper investigates the structures and properties of one-Lee weight codes and two-Lee weight projective codes over Z4. The authors first give the Pless identities on the Lee weight of linear codes over Z4. Then the authors study the necessary conditions for linear codes to have one-Lee weight and two-Lee projective weight respectively, the construction methods of one-Lee weight and two-Lee weight projective codes over Z4 are also given. Finally, the authors recall the weight-preserving Gray map from (Zn4 , Lee weight) to (F2n 2 , Hamming weight), and produce a family of binary optimal oneweight linear codes and a family of optimal binary two-weight projective linear codes, which reach the Plotkin bound and the Griesmer bound.
    相关文章 | 多维度评价
    被引次数: Baidu(47)
    8. 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1742)      PDF (176KB)(1256)    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) CSCD(12)
    9. 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1400)      PDF (620KB)(423)    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.
    相关文章 | 多维度评价
    被引次数: Baidu(45)
    10. 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1327)      PDF (155KB)(897)    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.
    相关文章 | 多维度评价
    被引次数: Baidu(43)
    11. STATE-FEEDBACK ADAPTIVE STABILIZING CONTROL DESIGN FOR A CLASS OF HIGH-ORDER NONLINEAR SYSTEMS WITH UNKNOWN CONTROL COEFFICIENTS
    Zongyao SUN;Yungang LIU
    Journal of Systems Science and Complexity    2007, 20 (3): 350-361.  
    摘要1576)      PDF (209KB)(918)    收藏
    In this paper, a new approach is successfully addressed to design the state-feedback adaptive stabilizing control law for a class of high-order nonlinear systems in triangular form and with unknown and nonidentical control coefficients, whose stabilizing control has been investigated recently under the knowledge that the lower bounds of the control coefficients are exactly known. In the present paper, without any knowledge of the lower bounds of the control coefficients, based on the adaptive technique and appropriately choosing design parameters, we give the recursive design procedure of the stabilizing control law by utilizing the approach of adding a power integrator together with tuning functions. The state-feedback adaptive control law designed not only preserves the equilibrium at the origin, but also guarantees the global asymptotic stability of the closed-loop states and the uniform boundedness of all the other closed-loop signals.
    相关文章 | 多维度评价
    被引次数: Baidu(35) CSCD(1)
    12. ON SUFFICIENT AND NECESSARY OF EXISTENCE FOR A CLASS OF SINGULAR OPTIMAL STOCHASTIC CONTROL
    Kun Hui LIU;Ming Da QIN;Chuan Lai LU
    Journal of Systems Science and Complexity    2003, 16 (4): 424-437.  
    摘要1473)      PDF (613KB)(327)    收藏
    We study a class of discounted models of singular stochastic control. In this kind of models, not only the structure of cost function has been extended to some general type, but also the state can be represented as the solution of a class of stochastic differential equations with nonlinear drift and diffusion term. By the various methods of stochastic analysis, we derive the sufficient and necessary conditions of the existence of optimal control.
    相关文章 | 多维度评价
    被引次数: Baidu(32)
    13. 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1597)      PDF (218KB)(783)    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.
    相关文章 | 多维度评价
    被引次数: Baidu(31)
    14. 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1665)      PDF (831KB)(370)    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.
    相关文章 | 多维度评价
    被引次数: Baidu(29)
    15. THE CONVERGENCE OF A NEW MODIFIED BFGS METHOD WITHOUT LINESEARCHES FOR UNCONSTRAINED OPTIMIZATION OR COMPLEXITY SYSTEMS
    Liying LIU;Zengxin WEI;Xiaoping WU
    Journal of Systems Science and Complexity    2010, 23 (4): 861-872.   DOI: 10.1007/s11424-010-7180-3
    摘要1664)      PDF (198KB)(678)    收藏
    In this paper, a new modified BFGS method without line searches is proposed. Unlike traditional BFGS method, this modified BFGS method is proposed based on the so-called fixed steplength strategy introduced by Sun and Zhang. Under some suitable assumptions, the global convergence and the superlinear convergence of the new algorithm are established, respectively. And some preliminary numerical experiments, which shows that the new Algorithm is feasible, is also reported.
    相关文章 | 多维度评价
    被引次数: Baidu(26)
    16. THE GENERALIZED SOLUTIONS OF PBVP FORINTEGRO-DIFFERENTIAL EQUATIONS
    ZHUANG Wan;CHEN Yubo
    Journal of Systems Science and Complexity    1996, 9 (2): 145-150.  
    摘要1514)      PDF (297KB)(421)    收藏
    In this paper, we study the periodic boundary value problems for a class ofnonlinear integro-differential equations of Volterra type with Caratheodory condition. Weobtain an existence result of generalized solutions between generalized upper and lowersolutions, and develop the monotone iterative technique to find generalized extremal solutions as limits of monotone sequences.
    相关文章 | 多维度评价
    被引次数: Baidu(22)
    17. 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1544)      PDF (350KB)(1057)    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)
    18. COMPLEX ECO-ECONOMY SYSTEM
    PawelBartoszczuk;Yoshiteru Nakamori
    Journal of Systems Science and Complexity    2003, 16 (2): 145-158.  
    摘要1215)      PDF (1234KB)(506)    收藏
    In the past there were a lot of researches on the topic of economic growth. Nevertheless, the environment has been a. hit abstracted by standard economics. Scarce natural resources and our choices to protect them or exploit them jointly determine the economic and environmental systems. In this paper we describe a model with a particular focus on the relationship among income, pollution, and non-renewable resources. We want to combine both economic and environmental sectors. The system dynamics approach is used in analyzing these complex relationships. This paper gives an insight, into the possibilities for replacing non-renewable resources with more renewable ones. Next, we present the simulation runs of the model that are conducted with the help of existing system dynamics modeling tools. Only the relationships simulated so far between the variables ought to lie put under yet more cautious examination.
    相关文章 | 多维度评价
    被引次数: Baidu(19) CSCD(1)
    19. FURTHER RESULTS ON LIMITATIONS OF SAMPLED-DATA FEEDBACK
    REN Jingli , CHENG Zhibo , GUO Lei
    Journal of Systems Science and Complexity    2014, 27 (5): 817-835.   DOI: 10.1007/s11424-014-2184-z
    摘要542)      PDF (306KB)(445)    收藏
    To control continuous-time uncertain dynamical systems with sampled data-feedback is prevalent today, but the sampling rate is usually not allowed to be arbitrarily fast due to various physical nd/or computational constrains. In this paper, the authors examine the limitations of sampled-data feedback control for a class of uncertain systems in continuous-time, with sampling rate not necessary fast enough and with the unknown system structure confined to a set of functions with both linear and onlinear growth. The limitations of the sampled-data feedback control for the uncertain systems are established quantitatively, which extends the existing related results in the literature.
    相关文章 | 多维度评价
    被引次数: Baidu(19) CSCD(3)
    20. REGULARITY AND RECURRENCE OF SWITCHING DIFFUSIONS
    George YIN;Chao ZHU
    Journal of Systems Science and Complexity    2007, 20 (2): 273-283.  
    摘要1458)      PDF (206KB)(966)    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).
    相关文章 | 多维度评价
    被引次数: Baidu(18)
    21. 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1628)      PDF (381KB)(205)    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.
    相关文章 | 多维度评价
    被引次数: Baidu(18)
    22. 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1465)      PDF (373KB)(704)    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)
    23. THE CHARACTERISTIC OF EVENTUALLYUNIFORMLY CONTINUOUS C0 SEMIGROUPSON A HILBERT SPACE
    Liang Ping ZHANG
    Journal of Systems Science and Complexity    1999, 12 (1): 49-054.  
    摘要1351)      PDF (228KB)(338)    收藏
    A full characterization is given, in terms of the resolvent R(λ; A) of the infinitesimal generator A of a C0 semigroup T(t) on a Hilbert spaced which assures the continuity for t > t0 (t0 0) of T(t) in the uniform operator topology.
    相关文章 | 多维度评价
    被引次数: Baidu(18)
    24. OPTIMAL IMPULSIVE HARVESTING FOR FISH POPULATIONS
    Li Chun ZHAO;Qing Ling ZHANG;Qi Chang YANG
    Journal of Systems Science and Complexity    2003, 16 (4): 466-474.  
    摘要1540)      PDF (389KB)(339)    收藏
    In this paper the management model a two-species fishery involving impulses is investigated by using optimal impulsive control theorem. Optimal impulsive harvesting times and the corresponding optimal harvesting population levels in different cases are obtained.
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    被引次数: Baidu(16)
    25. FRUIT NUTRITIVE FACTOR NETWORK
    Yanqing QU;Yumei JIANG;Daren HE
    Journal of Systems Science and Complexity    2009, 22 (1): 150-158.  
    摘要1510)      PDF (206KB)(619)    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.
    相关文章 | 多维度评价
    被引次数: Baidu(15) CSCD(1)
    26. ON A PROBLEM RELATED TO GOLOMB'S CONJECTURES
    Wen Peng ZHANG
    Journal of Systems Science and Complexity    2003, 16 (1): 13-018.  
    摘要1895)      PDF (229KB)(216)    收藏
    The main purpose of this paper is to study a problem related to Golomb's conjectures, and give an interesting asymptotic formula.
    相关文章 | 多维度评价
    被引次数: Baidu(15) CSCD(3)
    27. 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1520)      PDF (871KB)(653)    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.
    相关文章 | 多维度评价
    被引次数: Baidu(15)
    28. 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1266)      PDF (546KB)(871)    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)
    29. MODEL SELECTION FOR LOG-LINEAR MODELS OF CONTINGENCY TABLES
    Lin Cheng ZHAO;Hong ZHANG
    Journal of Systems Science and Complexity    2003, 16 (2): 249-259.  
    摘要1707)      PDF (476KB)(205)    收藏
    In this paper, we propose an informRtioti-theore-tic-eriterion-bHsed model selection procedure for log-linear model of contingency tables under multinomial sampling, and establish the strong consistency of the method under some mild conditions. An exponential bound of miss detection probability is also obtained. The selection procedure is modified so I hat it can be used in practice. Simulation shows that the modified method is valid. To avoid selecting the penalty coefficient in the information criteria, an alternative selection procedure is given.
    相关文章 | 多维度评价
    被引次数: Baidu(14)
    30. BOUNDARY STABILIZATION OF NONUNIFORM TIMOSHENKO BEAM WITH ROTOR INERTIA AT THE TIP
    Zhen Guo CHEN;Qing Xu YAN;Zhao Qi LI
    Journal of Systems Science and Complexity    2004, 14 (2): 176-187.  
    摘要1748)      PDF (135KB)(392)    收藏
    The stabilization problem of a nonuniform Timoshenko beam system with controllers at the beam's right tip with rotor inertia is studied. First, with a special kind of linear boundary force feedback and moment control existing simultaneously, the energy corresponding to the closed loop system is proven to be exponentially convergent to zero as time $t\to\infty$. Then in other cases, some conditions for the corresponding closed loop system to be asymptotically stable are also derived.
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    被引次数: Baidu(13) CSCD(1)
    31. EXTINCTION AND WAVEFRONT IN AN AGE-STRUCTURED POPULATION MODEL ON INFINITE PATCHES WITH DISTRIBUTED MATURATION DELAY
    LING Jiaoxiu;WENG Peixuan
    Journal of Systems Science and Complexity    2005, 18 (4): 464-477.  
    摘要1447)      PDF (251KB)(645)    收藏
    In this paper, we derive a lattice model for a single species on infinite patches of one-dimensional space with that the maturation could occur at any age. The formulation involves a distribution of possible ages of maturation and a probability density function on which ecological assumptions are made. The following results are obtained: the existence and isotropy of the unique nonnegative solution for initial value problem, the extinction of the species provided with the non-existence of positive equilibria, and the existence of wavefronts with the wave speed $c>c_*$.
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    被引次数: Baidu(12)
    32. GENERAL DECAY RATE ESTIMATES FOR VISCOELASTIC WAVE EQUATION WITH VARIABLE COEFFICIENTS
    CAO Xiaomin , YAO Pengfei
    Journal of Systems Science and Complexity    2014, 27 (5): 836-852.   DOI: 10.1007/s11424-014-1056-x
    摘要447)      PDF (223KB)(364)    收藏
    The authors study decay properties of solutions for a viscoelastic wave equation with variable coefficients and a nonlinear boundary damping by the differential geometric approach.
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    被引次数: Baidu(11) CSCD(2)
    33. A HIGH ACCURACY ANALYSIS OF THE MIXED FINITE ELEMENT METHOD FOR BIHARMONIC EQUATIONS
    CHEN Hongsen;LIN Qun
    Journal of Systems Science and Complexity    1992, 5 (4): 352-364.  
    摘要1546)      PDF (514KB)(606)    收藏
    In this paper, the linear mixed finite element method is considered for the biharmonic Dirichlet boundary value problem. Almost optimal error estimates, superconvergence estimates and the derivative error expansion are obtained.
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    被引次数: Baidu(10)
    34. ON LOCAL STABILIZATION OF NONLINEAR CONTROL SYSTEMS
    ZHENG Yufan
    Journal of Systems Science and Complexity    1992, 5 (4): 289-298.  
    摘要1874)      PDF (460KB)(659)    收藏
    Based on the notion of maximal absolute observability and its normalforms, a new method for studying the local stabilization for a kind of nonlinearcontrol systems is established. Different from the previous results given by Byrnes-Isitori and others, this new method can deal with more general systems, and has much simpler way to prove the stabilization conditions and to design the feedback laws.
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    被引次数: Baidu(9)
    35. INFORMATION CHARACTERIZATION OF COMMUNICATION CHANNELS FORSYSTEM IDENTIFICATION
    Le Yi WANG ;G. George YIN
    Journal of Systems Science and Complexity    2007, 20 (2): 251-261.  
    摘要1405)      PDF (373KB)(660)    收藏
    This paper studies identification of systems in which the
    system output is quantized, transmitted through a digital
    communication channel, and observed afterwards. The concept of the
    CR Ratio is introduced to characterize impact of communication
    channels on identification. The relationship between the CR Ratio
    and Shannon channel capacity is discussed. Identification
    algorithms are further developed when the channel error
    probability is unknown.
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    被引次数: Baidu(9)
    36. DUALITY FOR A CLASS OF NONSMOOTH MULTIOBJECTIVE PROGRAMMING PROBLEMS
    Jian Wen PENG;Xin Min YANG
    Journal of Systems Science and Complexity    2005, 18 (1): 74-085.  
    摘要1478)      PDF (117KB)(277)    收藏
    In this paper, two new dual models of nonsmooth multiobjective programming are constructed and two duality results are derived.
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    被引次数: Baidu(9)
    37. UNBOUNDED BATCH SCHEDULING WITH A COMMON DUE WINDOW ON A SINGLE MACHINE
    Hongluan ZHAO;Guojun LI
    Journal of Systems Science and Complexity    2008, 21 (2): 296-303.  
    摘要1575)      PDF (173KB)(516)    收藏
    The common due window scheduling problem with batching on a single machine is dealt with to minimize the total penalty of weighted earliness and tardiness.
    In this paper it is assumed that a job incurs no penalty as long as it is completed within the common due window. It is the first time for the due window scheduling to be extended to this situation so that jobs can be processed in batches. An unbounded version of batch scheduling is also considered. Hence, jobs, no matter how many there are, can be processed in a batch once the machine is free. For two cases that the location of due window is either a decision variable or a given parameter, polynomial algorithms are proposed based on several optimal properties.
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    被引次数: Baidu(8) CSCD(1)
    38. Implicitization of Partial Differential Rational Parametric Equations
    Guangwei Li
    Journal of Systems Science and Complexity    2006, 19 (2): 256-265.   DOI: 10.1007/s1
    摘要1899)      PDF (155KB)(761)    收藏
    In this paper, we propose algorithms for the following problems in the implicitization of a set of partial differential rational parametric equations P. (1)To find a characteristic set for the implicit prime ideal of P; (2) To find a canonical representation for the image of P; (3)To decide whether the parameters of P are independent, and if not, to re-parameterize P so that the new parametric equations have independent parameters; (4) To compute the inversion maps of P, and as a consequence, to decide whether P is proper.
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    被引次数: Baidu(8)
    39. MULTI-AGENT BASED MODELING AND SIMULATING FOR EVACUATION PROCESS IN STADIUM
    ZHANG Lei , WANG Jinhuan , SHI Qiongyu
    Journal of Systems Science and Complexity    2014, 27 (3): 430-444.   DOI: 10.1007/s11424-014-3029-5
    摘要596)      PDF (776KB)(418)    收藏
    A multi-agent evacuation model is proposed in this paper to simulate the pedestrian evacuation process in stadium with or without obstacles. The authors give a multi-agent individual decisionmaking framework, in which the action direction of each pedestrian (called agent) is affected by the distance of the agent to the exits and the occupant number and density within the view field of the agent. Different from the existing results, the authors divide all the pedestrians in the stadium into four classes: Young male, young female, old male, and old female. In evacuation process, the weighting that affects individual decision-making between each class of agents is different. In the simulation, the authors present the effects of obstacles, crowd distribution and the exit position in evacuation process. Simulation results show that the proposed model can reproduce exactly the real evacuation process in stadium. Therefore, this method might be useful to assess public buildings design.
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    被引次数: Baidu(8)
    40. NECESSARY AND SUFFICIENT CONDITIONS FOR G-STRUCTURES WITH LOGICAL RELATIONS TO FORM BOUNDED LATTICES IN RECONSTRUCTABILITY ANALYSIS
    SHU Guangfu
    Journal of Systems Science and Complexity    1993, 6 (3): 252-258.  
    摘要1540)      PDF (432KB)(704)    收藏
    After a brief review of the basic notions the paper defines the G~L-structures and their partial ordering. On this basis, the paper proves the necessary and sufficient conditions for G~L-structures to form bounded lattices.
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    被引次数: Baidu(8)