STABILITY AND OUTPUT FEEDBACK CONTROL FOR SINGULAR MARKOVIAN JUMP DELAYED SYSTEMS

被引：24

作者：

Chen, Jian ^{[1
]}

Zhang, Tao ^{[1
]}

Zhang, Ziye ^{[2
]}

Lin, Chong ^{[3
]}

Chen, Bing ^{[3
]}

机构：

[1] Qingdao Univ Technol, Coll Automat Engn, Qingdao 266555, Peoples R China

[2] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China

[3] Qingdao Univ, Inst Complex Sci, Qingdao 266073, Peoples R China

来源：

MATHEMATICAL CONTROL AND RELATED FIELDS | 2018年 / 8卷 / 02期

关键词：

Time-delay; singular sustem; Markovian jump system; admissibility; static output feedback; H-INFINITY CONTROL; BAM NEURAL-NETWORKS; TIME-DELAY; PASSIVE CONTROL; STABILIZATION;

D O I：

10.3934/mcrf.2018019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the admissibility analysis and control synthesis for a class of singular systems with Markovian jumps and time-varying delay. The basic idea is the use of an augmented Lyapunov-Krasovskii functional together with a series of appropriate integral inequalities. Sufficient conditions are established to ensure the systems to be admissible. Moreover, control design via static output feedback (SOF) is derived to achieve the stabilization for singular systems. A new algorithm is built to solve the SOF controllers. Examples are given to show the effectiveness of the proposed method.

引用

页码：475 / 490

页数：16