时滞切换系统的时滞相关性稳定判据  

Delay-dependent stability criterion of switched systems with time-delay

作　　者：丛屾[1] 费树岷[2] 李涛[2] 

机构地区：[1]南京理工大学自动化学院,南京210094 [2]东南大学自动化研究所,南京210096

出　　处：《控制与决策》2007年第9期1049-1052,共4页Control and Decision

基　　金：国家自然科学基金项目(60574006)

摘　　要：考虑由时滞子系统构成的切换系统,分析其在任意切换作用下保持指数稳定性的条件.利用较为一般的Lyapunov-Krasovskii泛函构造方式及相关的解析技巧给出了以线性矩阵不等式表述的时滞相关性稳定判据;进而证明了其指数衰减率对于所有切换序列一致成立,即其完全取决于子系统的结构特征.仿真算例证实了方法的有效性.The switched dynamical system consisting of linear subsystems with time-delay is considered. The condition for guaranteeing exponential stability of the system under arbitrary switching sequence is investigated. Based on a less conservative construction of Lyapunov-Krasovskii functional and some analytic techniques, the delay-dependent criterion is established in terms of linear matrix inequalities. Furthermore, it is strictly verified that the exponential decay rate holds uniformly for all switching sequences, and is definitely determined by the characteristics of subsystems. A numerical example demonstrates the effectiveness of the proposed method.

关 键 词：切换系统 时滞 指数稳定 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]