报告主题：非线性时滞系统Lyapunov-Krasovskii泛函的构造
报告人：Alexander Aleksandrov 教授（St. Petersburg State University）
报告时间：2016年10月24日（周一）14：00
报告地点：校本部G507
邀请人：胡广大
主办部门：金沙威尼斯欢乐娱人城数学系
报告摘要：In the report, a set of results concerning Lyapunov–Krasovskii functionals and absolute stability for various classes of nonlinear positive time-delay systems is presented. First, conditions of the existence of a linear Lyapunov-Krasovskii functional for a class of switched positive time-delay systems with nonlinearities of a sector type are provided. Furthermore, it is shown that similar results can be obtained for systems described by coupled differential-difference equations, neutral systems and discrete-time systems. Next, the problem of the existence of diagonal Lyapunov–Krasovskii functionals for positive difference-differential and discrete-time systems is studied. Both nonswitched and switched systems are considered. In particular, it is proved that the existence of a diagonal functional is necessary and sufficient for delay-independent stability of a positive linear time-delay system.
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