Stability for delayed switched systems with Markov jump parameters and generally incomplete transition rates

被引：17
|
作者：
Qi, Wenhai [1 ]
Yang, Xu [1 ]
Gao, Xianwen [2 ]
Cheng, Jun [3 ,4 ]
Kao, Yonggui [5 ]
Wei, Yunliang [6 ]
机构：
[1] Qufu Normal Univ, Sch Engn, Rizhao 276826, Peoples R China
[2] Northeastern Univ, Sch Informat Sci & Engn, Shenyang 110819, Liaoning, Peoples R China
[3] Guangxi Normal Univ, Coll Math & Stat, Guilin 541006, Peoples R China
[4] Qingdao Univ Sci & Technol, Coll Automat & Elect Engn, Qingdao 266061, Shandong, Peoples R China
[5] Harbin Inst Technol, Sch Sci, Weihai 264209, Peoples R China
[6] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2020年 / 365卷
基金：
中国国家自然科学基金;
关键词：
Switching Markov jump systems; Generally incomplete transition rates; Average dwell time switching; SAMPLED-DATA SYNCHRONIZATION; COMPLEX DYNAMICAL NETWORKS; LINEAR-SYSTEMS; ROBUST STABILIZATION; NONLINEAR-SYSTEMS; SUBJECT; DESIGN; OUTPUT;
D O I：
10.1016/j.amc.2019.124718
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Exponential mean-square stability for delayed switched systems with Markov jump parameters and generally incomplete transition rates is discussed. The switching dynamics among the operation modes are considered to be governed by a high level with average dwell time switching (ADTS) and a low level with stochastic Markov switching. Many practical systems such as general economic model subject to unpredictable structural changes can be described by switching Markov jump systems (SMJSs) with generally incomplete transition rates. By resorting to average dwell time switching approach, sufficient conditions are proposed to ensure the underlying system exponentially mean-square stable. Finally, the theoretical results are applied to a general economic model to demonstrate the effectiveness, applicability and superiority of the main results. (C) 2019 Elsevier Inc. All rights reserved.
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页数：13
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