Positive Observer Design for Positive Markovian Jump Systems with Mode-dependent Time-varying Delays and Incomplete Transition Rates

被引：6
|
作者：
Wang, Jiyang [1 ]
Qi, Wenhai [1 ]
Gao, Xianwen [1 ]
Kao, Yonggui [2 ]
机构：
[1] Northeastern Univ, Sch Informat Sci & Engn, Shenyang 110819, Peoples R China
[2] Harbin Inst Technol, Sch Sci, Weihai 264209, Peoples R China
来源：
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2017年 / 15卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Incomplete transition rates; linear programming; positive Markovian jump systems; stochastic stability; LINEAR-SYSTEMS; EXPONENTIAL STABILITY; SWITCHED SYSTEMS; STOCHASTIC STABILITY; FAULT-DETECTION; STABILIZATION;
D O I：
10.1007/s12555-015-0297-3
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The paper is concerned with positive observer design for positive Markovian jump systems with incomplete transition rates and time delays that are mode-dependent and time-varying. Firstly, by applying an appropriate co-positive type Lyapunov-Krasovskii function and free-connection weighting vectors, sufficient conditions are proposed to ensure stochastic stability of the error positive system and existence of the positive observer. All the proposed conditions are derived in linear programming. Finally, an example is given to demonstrate the validity of the main results.
引用
收藏
页码：640 / 646
页数：7
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