时滞切换正系统的切换齐次协正Lyapunov函数方法(英文)  

Switched homogeneous copositive Lyapunov function method for switched positive systems with delays

作　　者：刘兴文[1] 

机构地区：[1]西南民族大学电气信息工程学院,四川成都610041

出　　处：《西南民族大学学报（自然科学版）》2014年第4期592-597,476,共6页Journal of Southwest Minzu University(Natural Science Edition)

基　　金：国家自然科学基金(60974148,61273007);教育部新世纪人才支持计划(NCET-10-0097);四川省杰出青年学术技术带头人资助计划(2011JQ0011)支持

摘　　要：正系统是一类特殊系统——如果初始状态非负,则其状态始终位于正象限.切换系统是混杂系统的主要分支之一.作为两类系统的结合体,切换正系统已经迅速获得控制界的大量关注.主要研究时滞切换正系统的稳定性问题,提出了切换齐次协正李亚普诺夫函数方法.该方法能够有效地降切换系统稳定性判据的保守性.许多现有结果都是本文主要结论的退化情形.Positive systems are a special class of systems whose states always lie in the positive orthant provided that the initial conditions are nonnegative and switched systems are one of main branches of hybrid systems. As a combination of positive systems and switched systems, switched positive systems have gained rapidly increasing attention from the community of control. This paper addresses the stability problem of switched positive systems with delays. The method of switched homogeneous copositive Lyapunov function is proposed to reduce conservativeness of stability criterion of the considered system. Many existing results are degenerated cases of our main conclusion.

关 键 词：时滞 切换正系统 切换齐次协正李亚普诺夫函数 稳定性 

分 类 号：TP27[自动化与计算机技术—检测技术与自动化装置]