2001年, 第14卷, 第1期　刊出日期：2001-01-15

  

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  INFORMATION AND COMPLEXITY IN CONTROL SYSTEMS: A TUTORIAL

  Le Yi WANG

  Journal of Systems Science and Complexity. 2001, 14(1): 1-016.

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  This is a tutorial paper which presents schematically the concepts of information, uncertainty, and complexity, and their relationships in their applications to control systems. By focusing on exact or lower bounds on achievable performance in the presence of uncertainties,studies of complexity in a control system can potentially reveal fundamentally limiting factors of the system,suggext beneficial modifications to system structures and hardware configurations to remove these limitations,provide benchmark values for evaluating a design and for quantifying rooms for performance improvement,and demonstrate intrinsic tradeoffs.
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  THE COMPLEXITY OF LIMIT LANGUAGES OF CELLULAR AUTOMATA: AN EXAMPLE

  Hui Min XIE

  Journal of Systems Science and Complexity. 2001, 14(1): 17-030.

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  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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  WHAT DOES CHAOS HAVE TO DO WITH SYSTEMS AND CONTROL ENGINEERING?

  Guan Rong CHEN

  Journal of Systems Science and Complexity. 2001, 14(1): 31-039.

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  Chaos as a very special type of complex dynamical behaviors has been studied for about four decades. Yet the traditional trend of analyzing and understanding chaos has evolved to controlling and utilizing chaos today. Research in the field of chaos modeling,control,and synchronization includes not only ordering chaos,which means to weaken or completely suppress chaos.
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  A BI-LEVEL FORMULATION AND QUASI-NEWTON ALGORITHM FOR STOCHASTIC EQUILIBRIUM NETWORK DESIGN PROBLEM WITH ELASTIC DEMAND

  Hai Jun HUANG;Shou Yang WANG;Michael G.H.Bell

  Journal of Systems Science and Complexity. 2001, 14(1): 40-053.

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  In this paper, a bi-level formulation of the continuous network design problem (NDP) is proposed on the basis of logit stochastic user equilibrium (SUE) assignment with elastic demand. The model determines the link capacity improvements by maximizing net economic benefit while considering changes in demand and traffic distribution in network.
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  FORMATION OF SOCIAL NORMS IN COMMUNICATING AGENTS WITH COGNITIVE FRAMEWORKS

  Takashi Hashimoto;Susumu Egashira

  Journal of Systems Science and Complexity. 2001, 14(1): 54-074.

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  This article deals with the process of formation of norms in societies in which individuals act according to their own cognitive framework under communication. The individuals acquire information from others and interpret it. The way of individual's action is revised through changing the source of information and reforeming the method of interpretation.
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  THE COMPARISON BETWEEN THE CHAOTIC DEGREES OF CHINESE AND AMERICAN STOCK MARKETS

  Xue Feng SONG;Feng XIA

  Journal of Systems Science and Complexity. 2001, 14(1): 75-080.

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  In this paper, the chaotic degrees of Chinese and American Stock Markets are compared firstly. Secondly, the features of American Stock Market during the 50 years' development are involved. And finally the differences between the chaotic statuses of these two markets are analyzed.
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  SIMPLE INNOVATION OF FINANCIAL ASSET

  Shun Ming ZHANG

  Journal of Systems Science and Complexity. 2001, 14(1): 81-090.

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  This paper presents a simple two-period model of the innovation of financial asset by commission-revenue maximization exchange. The economic agents with meanvariance preferences take transaction costs in the process of trading the financial asset,the buying per-unit commission of the futures contract and the selling per-unit commission of the finanicial asset.
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  A NOTE ON CONNECTED FACTORS IN CLAW-FREE GRAPHS

  Bao Guang XU;Zhen Hong LIU

  Journal of Systems Science and Complexity. 2001, 14(1): 91-092.

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  In this paper it is shown that every connected claw-free graph G contains connected [a, max{a + 2, b}]-factors if it has [a, b]-factors, where a, b are integers and b ≥ a ≥ 1.
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  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.

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  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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  HIGH-ACCURACY FINITE ELEMENT METHOD FOR OPTIMAL CONTROL PROBLEM

  Liu DU;Ning Ning YAN

  Journal of Systems Science and Complexity. 2001, 14(1): 106-110.

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  This paper aims to present a high accuracy approximation and superconvergence for the distributed convex optimal control problem. In the basis of integral identity technique, we discuss the superconvergence of the rectangular finite element and the uniform triangular finite element for the optimal comtrol problem.