Stochastic stability analysis of nonlinear semi-Markov jump systems with time delays and incremental quadratic constraints

被引：2
作者：
Zhang, Min [1 ]
Huang, Jun [1 ]
Zhang, Yueyuan [1 ]
机构：
[1] Soochow Univ, Sch Mech & Elect Engn, Suzhou 215021, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE | 2023年 / 360卷 / 16期
关键词：
H-INFINITY CONTROL; OBSERVERS; DESIGN; STABILIZATION; CONTROLLER;
D O I：
10.1016/j.jfranklin.2021.08.044
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 article proposes a kind of stability analysis method for nonlinear time-delayed semi-Markov jump systems with incremental quadratic constraints. To meet the requirement of stochastic stability, the sufficient conditions formulated by linear matrix inequalities are derived. Both the transition rate of semi-Markov process and the time delay are time-varying, which make the considered system more general than the systems governed by Markov process and whose time delay is invariant. The modedependent Lyapunov-Krasovskii function is employed to analyze the stability problem. Besides, incremental quadratic constraints are proposed to reduce the conservatism of sufficient conditions. Finally, the effectiveness and superiority of the proposed method is verified by an example of virus mutation treatment model. (c) 2021 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：12688 / 12706
页数：19
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