东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2006, Vol. 27 ›› Issue (2): 127-130.DOI: -

• 论著 • 上一篇    下一篇

一类非线性切换系统的稳定域

李浚圣;原忠虎;李建华;高立群;   

  1. 东北大学信息科学与工程学院;沈阳大学信息工程学院;沈阳大学信息工程学院;东北大学信息科学与工程学院 辽宁沈阳110004;辽宁沈阳110044;辽宁沈阳110044;辽宁沈阳110004
  • 收稿日期:2013-06-23 修回日期:2013-06-23 出版日期:2006-02-15 发布日期:2013-06-23
  • 通讯作者: Li, J.-S.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(60274009);;

Stability domain for a class of nonlinear switched systems

Li, Jun-Sheng (1); Yuan, Zhong-Hu (2); Li, Jian-Hua (2); Gao, Li-Qun (1)   

  1. (1) School of Information Science and Engineering, Northeastern University, Shenyang 110004, China; (2) School of Information, Shenyang University, Shenyang 110044, China
  • Received:2013-06-23 Revised:2013-06-23 Online:2006-02-15 Published:2013-06-23
  • Contact: Li, J.-S.
  • About author:-
  • Supported by:
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摘要： 在生物学超循环(Hypercycle)系统的基础上,提出了非线性循环系统和非线性循环切换系统的概念,并建立了数学模型,这类系统具有广泛的实际背景.分别研究了非线性循环系统和非线性循环切换系统的稳定域问题,并通过系统循环矩阵的特征值,给出了非线性循环切换系统在任意切换律和确定切换律下的稳定域.仿真实验进一步检验了结论的正确性.

关键词: 切换系统, 非线性系统, 循环系统, 切换律, 稳定域

Abstract: The concepts of nonlinear circulant system and nonlinear circulant switched system are proposed and the mathematical models are established, which are extended from hypercycle as biological systems. The two kinds of systems thus have a wide background in practice. The stability domain of both systems are studied separately, and the stability domain of the nonlinear circulant switched system in accordance to arbitrary and certain switching laws is given in terms of the eigenvalues of circulant system matrices. Simulation has verified the results.

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