东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2007, Vol. 28 ›› Issue (2): 157-160+164.DOI: -

• 论著 • 上一篇    下一篇

广义生物经济系统的混沌跟踪控制

张悦;张庆灵;赵立纯;刘佩勇;   

  1. 东北大学理学院;东北大学理学院;鞍山师范学院数学系;东北大学理学院 辽宁沈阳110004;辽宁沈阳110004;辽宁鞍山114005;辽宁沈阳110004
  • 收稿日期:2013-06-24 修回日期:2013-06-24 出版日期:2007-02-15 发布日期:2013-06-24
  • 通讯作者: Zhang, Y.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(60574011);;

Tracking control of chaos in singular biological economy systems

Zhang, Yue (1); Zhang, Qing-Ling (1); Zhao, Li-Chun (2); Liu, Pei-Yong (1)   

  1. (1) School of Sciences, Northeastern University, Shenyang 110004, China; (2) Department of Mathematics, Anshan Normal University, Anshan 114005, China
  • Received:2013-06-24 Revised:2013-06-24 Online:2007-02-15 Published:2013-06-24
  • Contact: Zhang, Y.
  • About author:-
  • Supported by:
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摘要： 利用微分代数方程理论研究了一类广义生物经济系统的混沌及混沌控制问题.利用数值方法判定得出,随着季节性影响因子的变化,该系统呈现复杂的动态特性,出现混沌现象;利用反馈线性化方法设计控制器,进而制定合理的开发策略,使受控混沌系统的输出跟踪期望的恒值或某一期望的周期轨道,实现对混沌系统的反馈跟踪控制;通过数值仿真说明该控制方法行之有效,可以使处于混沌状态的生物种群平稳增长,并源源不断地为人类提供物质财富.

关键词: 微分代数系统, 生物经济系统, 季节, 混沌, 跟踪控制

Abstract: Discusses the problems of chaos and its control of a class of singular biological economy system by the theory of differential-algebraic equations. Judged by the numerical method, the system presents complicated dynamical characteristic hence the chaotic phenomenon along with the change of the seasonal influencing factors on it. Then, a controller is designed by use of feedback linearization to cause the output of chaos system to track an expected constant value or period orbit with a rational developing strategy formulated, thus implementing the feedback tracking control of chaos in the system. Numerical simulations are given to illustrate that the control method is effective in practice and enables the biological population in chaotic states to grow smoothly and offer mankind material wealth for long.

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