This paper focuses on the delay-dependent stability for a kind of Markovian jump time-delay systems(MJTDSs),whose transition rates are incompletely known. In order to reduce the computational complexity and achieve be...This paper focuses on the delay-dependent stability for a kind of Markovian jump time-delay systems(MJTDSs),whose transition rates are incompletely known. In order to reduce the computational complexity and achieve better performance,auxiliary function-based double integral inequality is combined with extended Wirtinger's inequality and Jensen inequality to deal with the double integral and the triple integral in augmented Lyapunov-Krasovskii function(ALKF) and their weak infinitesimal generator respectively, the more accurate approximation bounds with a fewer variables are derived. As a result, less conservative stability criteria are proposed in this paper. Finally,numerical examples are given to show the effectiveness and the merits of the proposed method.展开更多
基金supported by the National Natural Science Foundation of China(61403001,61572032)in part by the Natural Science Foundation of Anhui Province of China(1508085QF136)in part by the Natural Science Foundation of Universities of Anhui Province of China(KJ2016A058)。
文摘This paper focuses on the delay-dependent stability for a kind of Markovian jump time-delay systems(MJTDSs),whose transition rates are incompletely known. In order to reduce the computational complexity and achieve better performance,auxiliary function-based double integral inequality is combined with extended Wirtinger's inequality and Jensen inequality to deal with the double integral and the triple integral in augmented Lyapunov-Krasovskii function(ALKF) and their weak infinitesimal generator respectively, the more accurate approximation bounds with a fewer variables are derived. As a result, less conservative stability criteria are proposed in this paper. Finally,numerical examples are given to show the effectiveness and the merits of the proposed method.
基金This work was supported by the National Natural Science Foundation of China (No.60274009) and the National Program (863) of High Technology Development(No.2004AA412030).
文摘这篇论文涉及在取样的大小下面在不明确的系统上过滤的柔韧的 H 无穷的问题,两连续骚乱;分离骚乱在系统被考虑。参数不确定性被假定变化时间围住标准。目的是设计一个 asymptotically 稳定的过滤器,用局部地取样的大小,它两个都保证柔韧的 asymptotic 稳定性;为为所有可被考虑的不确定性的过滤错误动力学的 H 无穷性能的规定水平。推导进程被介绍辅助系统简化;为如此的一个过滤器的存在的足够的条件被建议。在学习期间,主要结果被采用各种各样的矩阵技术表示为 LMI。用 Matlab 软件的 LMI 工具箱,获得适当过滤器是很方便的。最后,一个数字例子证明方法是有效的;可行。