摘要
In this paper,an improved mean-square exponential stability condition and delayed-state-feedback controller for stochastic Markovian jump systems with mode-dependent time-varying state delays are obtained. First,by constructing a modified Lyapunov-Krasovskii functional,a mean-square exponential stability condition for the above systems is presented in terms of linear matrix inequalities (LMIs). Here,the decay rate can be a finite positive constant in a range and the derivative of time-varying delays is only required to have an upper bound which is not required to be less than 1. Then,based on the proposed stability condition,a delayed-state-feedback controller is designed. Finally,numerical examples are presented to illustrate the effectiveness of the theoretical results.
In this paper,an improved mean-square exponential stability condition and delayed-state-feedback controller for stochastic Markovian jump systems with mode-dependent time-varying state delays are obtained. First,by constructing a modified Lyapunov-Krasovskii functional,a mean-square exponential stability condition for the above systems is presented in terms of linear matrix inequalities （LMIs）. Here,the decay rate can be a finite positive constant in a range and the derivative of time-varying delays is only required to have an upper bound which is not required to be less than 1. Then,based on the proposed stability condition,a delayed-state-feedback controller is designed. Finally,numerical examples are presented to illustrate the effectiveness of the theoretical results.
出处
《自动化学报》
CSCD
北大核心
2010年第11期1601-1610,共10页
Acta Automatica Sinica
基金
Supported by National Natural Science Foundation of China(60904026)
the Program for New Century Excellent Talents in University
the Graduate Innovation Program of Jiangsu Province(CX09B-051Z)
the Scientific Research Foundation of Graduate School of Southeast University (YBJJ0929)
