2002年, 第15卷, 第1期　刊出日期：2002-01-15

  

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  IDENTIFICATION OF BOTH CLOSED-AND OPEN-LOOP STOCHASTIC SYSTEM WHILE STABILIZING IT

  Han Fu CHEN

  Journal of Systems Science and Complexity. 2002, 15(1): 1-017.

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  This paper proposes a recursive algorithm estimating coefficients of the linear stochastic contril system (ARX system ) drivenby a martingale difference sequence,while adaptively stabiizing the system without introducing external excitation signal.
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  STOCHASTIC ADAPTIVE SWITCHING CONTROL BASED ON MULTIPLE MODELS

  Yan Xia ZHANG;Lei GUO

  Journal of Systems Science and Complexity. 2002, 15(1): 18-034.

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  It is well known that the transient behaviors of the traditional adaptive control may be very poor in general, and that the adaptive control designed based on switching between multiple models is an intuitively appealing and practically feasible approach to improve the transient performances.
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  A NOTE ON NONLINEAR ROBUST H_∞ ALMOST DISTURBANCE DECOUPLING PROBLEM WITH STABILITY

  Jian Feng WEI;Yu Fan ZHANG

  Journal of Systems Science and Complexity. 2002, 15(1): 35-042.

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  For a class of SISO nonlinear control systems with parameter uncertainty an almost disturbance decoupling problem with stability is defined and investigated.
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  QUATERNARY DELSARTE-GOETHALS AND GOETHALS-DELSARTE CODES

  Jie CUI;Zhe Xian WAN

  Journal of Systems Science and Complexity. 2002, 15(1): 43-051.

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  In this paper, the quaternary Delsarte-Goethals code D(m,δ) and its dual code G(m,δ) are discussed. The type and the trace representation are given for D(m,δ), while the type and the minimum Lee weight are determined for G(m,δ).
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  MATHEMATICAL PROGRAMMING WITH A CLASS OF NON-SMOOTH FUNCTIONS

  J. DUTTA;V.VETRIVEL

  Journal of Systems Science and Complexity. 2002, 15(1): 52-060.

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  This is a continuation of a recent work(J. Dutta) on a class of non-smooth functions and their subdifferentials. In this note, necessary optimality conditions are derived for the inequality constrained mathematical programming problems involving such non-smooth functions by employing Gordan's Alternative Theorem.
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  FEEDBACK REALIZATION OF HAMILTONIAN SYSTEMS

  Dai Zhan CHEN;Zai Rong XI

  Journal of Systems Science and Complexity. 2002, 15(1): 61-068.

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  This paper investigates the relationship between state feedback and Hamiltonian realization. First, it is proved that a completely controllable linear system always has a state feedback state equation Hamiltonian realization.
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  THE WEAK BENSON PROPER EFFICIENT SUBGRADIENT AND THE OPTIMALITY CONDITIONS OF SET-VALUED OPTIMIZATION

  Bao Huai SHENG

  Journal of Systems Science and Complexity. 2002, 15(1): 69-076.

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  The subgradient, under the weak Benson proper efficiency, of a set-valued mapping in ordered Banach space is developed, and the weak Benson proper efficient Hahn-Banach theorem of a set-valued mapping is established, with which the existence of the subgradient is proved and the characterizations of weak Benson proper efficient elements of constrained (unconstrained) vector set-valued optimization problems are presented.
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  A KULLBACK-LEIBLER EMPIRICAL LIKELIHOOD INFERENCE FOR CENSORED DATA

  Jian SHI;Tai-Shing Lau

  Journal of Systems Science and Complexity. 2002, 15(1): 77-084.

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  In this paper, two kinds of Kullback-Leibler criteria with appropriate constraints are proposed to construct empirical likelihood confidence intervals for the mean of right censored data. It is shown that one of the criteria is equivalent to Adimari's(1997) procedure,and the other shares the same asymptotic behavior.
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  ABSOLUTE STABILITY OF GENERAL LURIE DISCRETE NONLINEAR CONTROL SYSTEMS

  Zuo Xin GAN;Jing Qing HAN;Su Xia ZHAO;Yong Xian WU

  Journal of Systems Science and Complexity. 2002, 15(1): 85-088.

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  In the present paper, the absolute stability of general Lurie discrete nonlinear control systems has been discussed by Lyapunov function approach. A sufficient condition of absolute stability for the general Lurie discrete nonlinear control systems is derived,and some necessary and sufficient conditions are obtained in special cases.
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  THE GLOBAL STABILITY OF CONSTANT EQUILIBRIUM OF REACTION-DIFFUSION SYSTEMS——DIFFERENTIAL INEQUALITIES AND LIAPUNOV FUNCTIONAL

  Ying Dong LIU;Zheng Yuan LI;Qi Xiao YE

  Journal of Systems Science and Complexity. 2002, 15(1): 89-101.

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  In this paper methods of differential inequalities and Liapunov functionals for proving the global stability of constant equilibria of reaction-diffusion systems are given, and examples for showing how to use these methods are also given.
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  A ROBUST SQP METHOD BASED ON A SMOOTHING APPROXIMATE PENALTY FUNCTION FOR INEQUALITY CONSTRAINED OPTIMIZATION

  Ju Liang ZHANG;Xiang Sun ZHANG

  Journal of Systems Science and Complexity. 2002, 15(1): 102-112.

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  A robust SQP method, which is analogous to Facchinei's algorithm, is introduced. The algorithm is globally convergent. It uses automatic rules for choosing penalty parameter, and can efficiently cope with the possible inconsistency of the quadratic search subproblem.