Dwell-time conditions for exponential stability and standard L1-gain performance of discrete-time singular switched positive systems with time-varying delays

被引：30

作者：

Li, Shuo ^{[1
]}

Xiang, Zhengrong ^{[2
]}

Zhang, Junfeng ^{[1
]}

机构：

[1] Hangzhou Dianzi Univ, Sch Automat, Hangzhou 310018, Peoples R China

[2] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Peoples R China

来源：

NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2020年 / 38卷

基金：

中国国家自然科学基金;

关键词：

Singular switched positive systems; Dwell-time constraints; Exponential stability; Standard L-1-gain performance; Time-varying delays; NONLINEAR-SYSTEMS; CONGESTION CONTROL; STATE ESTIMATION; STABILIZATION; EQUIVALENCE; NETWORKS; DESIGN;

D O I：

10.1016/j.nahs.2020.100939

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 addresses the dwell-time issues on exponential stability and standard L-1-gain performance of discrete-time singular switched positive systems with time-varying delays. The dwell-time constraints refer to mode-dependent minimum dwell time(MDMDT), mode-dependent constant dwell time(MDCDT) and mode-dependent ranged dwell time(MDRDT). At first, a sufficient delay-dependent condition of exponential stability for delayed singular switched positive systems under three different kinds of dwell time constraints: MDMDT, MDCDT and MDRDT, is provided, respectively. Then, considering the disturbance attenuation performance, a sufficient condition of standard L-1-gain performance for delayed SSPSs with dwell-time constraints: MDMDT, MDCDT and MDRDT, is proposed, respectively. Meanwhile, the corresponding dwell-time results of exponential stability and standard L-1-gain performance for the system in delay-free case is also presented. Four examples are finally presented to show the feasibility and effectiveness of the obtained results. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：24

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