时滞切换正系统的切换齐次协正Lyapunov函数方法

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.

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

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.