Non-weighted l2/L2-gain of asynchronously switched systems

被引：19

作者：

Liu, Yang ^{[1
]}

Chen, Xiaoying ^{[1
,2
]}

Lu, Jianquan ^{[3
]}

Gui, Weihua ^{[4
]}

机构：

[1] Zhejiang Normal Univ, Coll Math & Comp Sci, Jinhua 321000, Zhejiang, Peoples R China

[2] Fuzhou Univ, Zhicheng Coll, Dept Comp Engn, Fuzhou 350002, Peoples R China

[3] Southeast Univ, Sch Math, Nanjing 210096, Peoples R China

[4] Cent South Univ, Sch Informat Sci & Engn, Changsha 410083, Peoples R China

来源：

NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2021年 / 43卷

基金：

中国国家自然科学基金;

关键词：

Non-weighted l(2)/L-2-gain; Average dwell time; Nonlinear switched system; Asynchronous switching; H-INFINITY CONTROL; TO-STATE STABILITY; L-2-GAIN ANALYSIS; DELAYED-IMPULSES; CONTINUOUS-TIME; LINEAR-SYSTEMS; L-2; GAIN; PERFORMANCE; L(2)-GAIN;

D O I：

10.1016/j.nahs.2021.101105

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 paper concerns that a non-weighted l(2)/L-2-gain performance for asynchronously switched systems can be achieved in both discrete-time and continuous-time cases. Based on the constructed Lyapunov-like functions with average dwell time (ADT) method and inequality analysis technique, a non-weighted l(2)/L-2-gain for asynchronously switched nonlinear systems can be guaranteed, which improves the existing results. Meanwhile, for asynchronously switched linear systems, the piecewise Lyapunov matrices are constructed and linear matrix inequalities (LMIs) conditions are derived to attain a non-weighted l(2)/L-2-gain performance. Finally, some examples are provided to illustrate the theoretical results. (C) 2021 Elsevier Ltd. All rights reserved.

引用

页数：16

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