一类非线性切换系统的稳定域  

Stability Domain for a Class of Nonlinear Switched Systems

作　　者：李浚圣[1] 原忠虎[2] 李建华[2] 高立群[1] 

机构地区：[1]东北大学信息科学与工程学院,辽宁沈阳110004 [2]沈阳大学信息工程学院,辽宁沈阳110044

出　　处：《东北大学学报（自然科学版）》2006年第2期127-130,共4页Journal of Northeastern University(Natural Science)

基　　金：国家自然科学基金资助项目(60274009);沈阳市科技计划项目(10220360-1-07)

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.Proposes the concepts of nonlinear circulant system and nonlinear circulant switched system and develops correspondingly the mathematical models, which are extended from Hypercycle as a biological. The two kinds of systems thus have a wide background in practice. The stability domain of both systems proposed 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.

关 键 词：切换系统 非线性系统 循环系统 切换律 稳定域 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]