标题：Improved stability criteria for linear time-varying systems on time scales
作者：Lu X.; Zhang X.; Liu Z.
作者机构：[Lu, X] School of Control Science and Engineering, Shandong University, Jinan, China;[ Zhang, X] School of Control Science and Engineering, Shandong U 更多
通讯作者地址：[Zhang, X] School of Control Science and Engineering, Shandong UniversityChina;
来源：International Journal of Control
关键词：asymptotic stability; Linear time-varying systems; Lyapunov inequality; time scale
摘要：In this paper, asymptotic stability problems of linear time-varying (LTV) systems on time scales are considered based on a less conservative Lyapunov inequality, whose right side is not required to be necessarily negative. It is shown that the Lyapunov inequality covers not only the corresponding trivial (continuous and discrete) ones but also nontrivial ones. Based on this inequality, some necessary and sufficient conditions for asymptotic stability, exponential stability, uniformly exponential stability of LTV systems on time scales are obtained. An example about nontrivial systems is given for illustrating the effectiveness of the proposed results. © 2018, © 2018 Informa UK Limited, trading as Taylor & Francis Group.