Stability analysis and L1-gain characterization for uncertain Markovian hybrid switching positive systems

被引：0

作者：

Zheng, Fuqi ^{[1
]}

Liu, Jian ^{[1
]}

Jiao, Ticao ^{[1
,2
]}

Zhang, Cunshan ^{[1
]}

Zhao, Jianrong ^{[1
]}

Jiang, Jishun ^{[1
]}

Qi, Xiaomei ^{[1
]}

机构：

[1] Shandong Univ Technol, Sch Elect & Elect Engn, Zibo 255000, Shandong, Peoples R China

[2] Qufu Normal Univ, Sch Engn, Rizhao 276826, Shandong, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2021年 / 411卷

基金：

中国博士后科学基金;

关键词：

Hybrid switching law; L-1-gain; Stability; Switching positive systems; EXPONENTIAL STABILITY; NEURAL-NETWORKS; FUZZY-SYSTEMS; TIME; SYNCHRONIZATION; DESIGN;

D O I：

10.1016/j.amc.2021.126503

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the problem of stability analysis and L-1 -gain characterization for uncertain Markovian hybrid switching positive systems is investigated. The key feature in the paper is that the switching mechanism is described by a general class of hybrid switching laws, which is comprised of Markovian switchings and deterministic switchings. By using the mode-dependent time interval segmentation technique, multiple time-varying copositive Lyapunov functions are constructed. Then, the criteria ensuring the stochastically exponential stability and L-1-gain are derived. Finally, a numerical example and a practical one are provided to illustrate the obtained results. (C) 2021 Elsevier Inc. All rights reserved.

引用

页数：13

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