2007年, 第20卷, 第1期　刊出日期：2007-03-20

  

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  AGENT MODEL ANALYSIS TO EXPLORE EFFECTS OF INTERACTION AND ENVIRONMENT ON INDIVIDUAL PERFORMANCE

  Tomoko KIKUCHI;Yoshiteru NAKAMORI

  Journal of Systems Science and Complexity. 2007, 20(1): 1-17.

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  This paper tries to find interaction rules between members
  and self-reform rules of members in some scientific research
  laboratories at a graduate school. The candidate of rules are
  extracted from the personality description sentences about
  factors: {extroversion}, {agreeableness}, {conscientiousness},
  {neuroticism} and {openness} in the big five theory of personality
  psychology. In this paper, interaction and self-reform rules are
  not described by personalities themselves; instead, they are
  described by corresponding phenomena: {activity}, {empathy},
  {persistence}, {autonomy}, and {analytical ability} which appear
  in the behavior side. Each member’s initial value is determined
  from the main 5-factor personality investigation to the member,
  and the target value is given by the member’s self-declaration.
  The rule selection is carried out by the genetic algorithm, where
  a sigmoid function is introduced in the renewal algorithm of the
  value, whereby a difficulty of setting the renewal parameters is
  avoided. An analysis is added about the obtained rules, and the
  validity of this approach and the subjects for future study are
  discussed. Finally, consideration is extended to the effect of
  environment on the behavior of members to reinforce the set of
  rules.
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  PHASE TRANSITION IN SEQUENCE UNIQUE RECONSTRUCTION

  Li XIA;Chan ZHOU

  Journal of Systems Science and Complexity. 2007, 20(1): 18-29.

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  In this paper, {sequence unique reconstruction} refers to the
  property that a sequence is uniquely reconstructable from all its
  $K$-tuples. We propose and study the phase transition behavior of
  the probability $P(K)$ of unique reconstruction with regard to
  tuple size $K$ in random sequences (iid model). Based on Monte
  Carlo experiments, artificial proteins generated from iid model
  exhibit a phase transition when $P(K)$ abruptly jumps from a low
  value phase (e.g. $<0.1$) to a high value phase (e.g. $>0.9$).
  With a generalization to any alphabet, we prove that for a random
  sequence of length $L$, as $L$ is large enough, $P(K)$ undergoes a
  sharp phase transition when $p\leq 0.1015$ where
  $p=\mbox{\boldmath$P$}$ (two random letters match). Besides,
  formulas are derived to estimate the transition points, which may
  be of practical use in sequencing DNA by hybridization. Concluded
  from our study, most proteins do not deviate greatly from random
  sequences in the sense of sequence unique reconstruction, while
  there are some ``stubborn’’ proteins which only become uniquely
  reconstructable at a very large $K$ and probably have biological
  implications.
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  CONSTRUCTIVE KISSING NUMBERS IN HIGH-DIMENSIONAL SPACES

  Lanju XU

  Journal of Systems Science and Complexity. 2007, 20(1): 30-40.

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  In the present paper, we focus on constructive spherical
  codes. By employing algebraic geometry codes, we give an explicit
  construction of spherical code sequences. By making use of the
  idea involved in the proof of the Gilbert-Varshamov bound in
  coding theory, we construct a spherical code sequence in
  exponential time which meets the best-known asymptotic bound by
  Shamsiev and Wyner.
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  ON THE MEROMORPHIC SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS

  Benharrat BELAIDI

  Journal of Systems Science and Complexity. 2007, 20(1): 41-46.

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  In this paper, we investigate the growth of
  meromorphic solutions of higher order linear differential equation $%
  f^{( k) }+A_{k-1}( z) e^{P_{k-1}( z) }f^{( k-1)}+\cdots+A_{1}( z)
  e^{P_{1}( z) }f'+A_{0}( z) e^{P_{0}( z) }f=0$ $( k\geq 2)$, where
  $P_{j}( z) $ $( j=0,1,\cdots,k-1) $ are nonconstant polynomials
  such that $\deg P_{j}=n$ $( j=0,1,\cdots,k-1) $ and $A_{j}( z) (
  \not\equiv 0) $ $( j=0,1,\cdots,k-1) $ are meromorphic functions
  with order $\rho ( A_{j})
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  ON WEIGHTED RANDOMLY TRIMMED MEANS

  Ting WANG;Yong LI;Hengjian CUI

  Journal of Systems Science and Complexity. 2007, 20(1): 47-65.

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  A class of robust location estimators called weighted
  randomly trimmed means are introduced and not only their
  consistency and asymptotic normality are proved, but their
  influence functions, asymptotic variances and breakdown points are
  also derived. They possess the same breakdown points as the
  median, and some of them own higher asymptotic relative
  efficiencies at the heavy-tailed distributions than some other
  well-known location estimators; whereas the trimmed means,
  Winsorized means and Huber's M-estimator possess higher asymptotic
  relative efficiencies at the light-tailed distributions, in which
  Huber's M-estimator is the most robust.
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  EXPLORATION/EXPLOITATION TRADEOFF WITH CELL-SHIFT AND HEURISTIC CROSSOVER FOR EVOLUTIONARY ALGORITHMS

  Xinchao ZHAO;Junling HAO

  Journal of Systems Science and Complexity. 2007, 20(1): 66-74.

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  In order to tradeoff exploration/exploitation and inspired by
  cell genetic algorithm a cell-shift crossover operator for
  evolutionary algorithm (EA) is proposed in this paper. The
  definition domain is divided into {\it n-}dimension cubic
  sub-domains (cell) and each individual locates at an {\it
  n}-dimensional cube. Cell-shift crossover first exchanges the cell
  numbers of the crossover pair if they are in the different cells
  (exploration) and subsequently shift the first individual from its
  initial place to the other individual's cell place. If they are
  already in the same cell heuristic crossover (exploitation) is
  used. Cell-shift/heuristic crossover adaptively executes
  exploration/exploitation search with the vary of genetic
  diversity. The cell-shift EA has excellent performance in terms of
  efficiency and efficacy on ten usually used optimization
  benchmarks when comparing with the recent well-known FEP
  evolutionary algorithm.
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  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.

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  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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  STRONG CONVERGENCE THEOREMS FOR NONEXPANSIVE MAPPING

  Yongfu SU;Xiaolong QIN

  Journal of Systems Science and Complexity. 2007, 20(1): 85-94.

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  This paper introduces a composite iteration scheme for
  approximating a fixed point of nonexpansive mappings in the
  framework of uniformly smooth Banach spaces and the reflexive
  Banach spaces which have a weakly continuous duality map,
  respectively. we establish the strong convergence of the
  composite iteration scheme. The results improve and extend those
  of Kim, Xu, Wittmann and some others.
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  PRODUCTIVE GOVERNMENT EXPENDITURE IN A STOCHASTICALLY GROWING OPEN ECONOMY

  Haijun WANG;Shigeng HU

  Journal of Systems Science and Complexity. 2007, 20(1): 95-107.

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  This paper employs a stochastic endogenous growth model with
  productive government expenditure in a small open economy to
  analyze the optimal fiscal policy. First, a stochastic model of a
  small open economy is constructed. Second, the equilibrium
  solutions of the representative agent’s stochastic optimization
  problem are derived. Third, we obtain the equilibrium solutions of
  the central planner’s stochastic optimization problem and the
  optimal government expenditure policy. Finally, the optimal tax
  policy is characterized.
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  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.

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  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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  MINIMAX INVARIANT ESTIMATOR OF CONTINUOUS DISTRIBUTION FUNCTION UNDER LINEX LOSS

  Jianhui NING;Minyu XIE

  Journal of Systems Science and Complexity. 2007, 20(1): 119-126.

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  In this paper we consider the problem of estimation of a
  continuous distribution function under the LINEX loss function. The
  best invariant estimator is obtained, and proved to be minimax for
  any sample size $n\geq 1$.
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  STABILIZATION FOR A CLASS OF LARGE-SCALE STOCHASTIC NONLINEAR SYSTEMS WITH DECENTRALIZED CONTROLLER DESIGN

  Xiaowu MU;Haijun LIU

  Journal of Systems Science and Complexity. 2007, 20(1): 127-134.

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  In this paper, a state feedback adaptive stabilization for
  a class of large-scale stochastic nonlinear systems is designed
  with Lyapunov and Backstepping method. In the systems there are
  uncertain terms, whose bounds are governed by a set of unknown
  parameters. The designed controllers would make the close-loop
  systems asymptotically stable and adaptive for the unknown
  parameters. As an application, a second order example is delivered
  to illustrate the approach.
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  ON THE COMPLEX OSCILLATION OF HIGHER ORDER LINEARDIFFERENTIAL EQUATIONS WITH MEROMORPHIC COEFFICIENTS

  Tingbin CAO;Hongxun YI

  Journal of Systems Science and Complexity. 2007, 20(1): 135-148.

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  In this paper, we investigate the complex oscillation of
  higher order homogenous and nonhomogeneous linear differential
  equations with meromorphic coefficients of iterated order, and
  obtain some results which improve and extend those given by Z. X.
  Chen, L. Kinnunen, etc.
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  EXISTENCE AND UNIQUENESS AND STABILITY OF SOLUTIONS FORSTOCHASTIC IMPULSIVE SYSTEMS

  Bin LIU;Xinzhi LIU;Xiaoxin LIAO

  Journal of Systems Science and Complexity. 2007, 20(1): 149-158.

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  This paper studies the existence, uniqueness, and stability
  of solutions for stochastic impulsive systems. By employing
  Lyapunov-like functions, some sufficient conditions of the global
  existence, uniqueness, and stability of solutions for stochastic
  impulsive systems are established. Furthermore, the results are
  specialized to the case of linear stochastic impulsive systems.
  Finally, some examples are given to illustrate the applications of
  our theory.