Stochastic admissibility and stabilization of singular Markovian jump systems with multiple time-varying delays

被引：0
作者：
Baoping Jiang
Cunchen Gao
Yonggui Kao
机构：
[1] Ocean University of China,College of Physical and Environmental Oceanography and School of Mathematical Sciences
[2] Harbin Institute of Technology,Department of Mathematics
来源：
International Journal of Control, Automation and Systems | 2016年 / 14卷
关键词：
Markovian jump systems; singular systems; stochastic admissibility; time-varying delays;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper is concerned with stochastic admissibility and state feedback stabilization for a class of singular Markovian jump systems with multiple time-varying delays. The singular matrix E with both modedependent and mode-independent is considered in the system. Firstly, based on Lyapunov functional method and free-weighting matrix method, sufficient condition is presented in the form of linear matrix inequalities (LMIs) to guarantee the considered system to be stochastically admissible. Secondly, by state feedback controller, sufficient condition is derived in terms of strict LMIs to ensure the closed-loop system to be stochastically stabilizable. Finally, numerical examples are provided to illustrate the effectiveness of the proposed approaches.
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页码：1280 / 1288
页数：8
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