Reachable set estimation of singular semi-Markov jump systems

被引：7
|
作者：
Zhang, Liang [1 ,2 ]
Niu, Ben [3 ]
Zhao, Ning [2 ]
Zhao, Xudong [4 ]
Yang, Yang [2 ]
机构：
[1] Bohai Univ, Coll Control Sci & Engn, Jinzhou 121013, Liaoning, Peoples R China
[2] Harbin Engn Univ, Coll Intelligent Syst Sci & Engn, Harbin 150001, Heilongjiang, Peoples R China
[3] Shandong Normal Univ, Sch Informat Sci & Engn, Jinan 250014, Peoples R China
[4] Dalian Univ Technol, Coll Control Sci & Engn, Dalian 116024, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2023年 / 360卷 / 16期
关键词：
SLIDING MODE CONTROL; TIME-DELAY SYSTEMS; STABILITY ANALYSIS; LINEAR-SYSTEMS; STABILIZATION;
D O I：
10.1016/j.jfranklin.2021.07.053
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This work is concerned with the problem of reachable set estimation for a class of singular semi-Markov jump system with time-varying delay under zero initial condition. Firstly, the technique of linear matrix inequality and two different methods are used to deal with the uncertain transition rate. Secondly, the boundary technique is applied to the fast subsystem without any assumptions about the system matrix. Finally, the reachable set mean-square bounded conditions for singular semi-Markov jump system with time-varying delay are given. The numerical simulation verifies the correctness of the theoretical analysis.(c) 2021 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：12535 / 12551
页数：17
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