New results on stability analysis for a kind of neutral singular systems with mixed delays

被引：8

作者：

Chen, Wen-bin ^{[1
]}

Gao, Fang ^{[2
]}

机构：

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

[2] Anhui Normal Univ, Coll Phys & Elect Informat, Wuhu 241000, Anhui, Peoples R China

来源：

EUROPEAN JOURNAL OF CONTROL | 2020年 / 53卷

基金：

中国国家自然科学基金;

关键词：

Neutral system; Mixed delays; Singular system; Stability; MARKOVIAN JUMP SYSTEMS; TIME-VARYING DELAYS; ROBUST STABILITY; DEPENDENT STABILITY; EXPONENTIAL STABILITY; CRITERIA; STABILIZATION;

D O I：

10.1016/j.ejcon.2019.10.001

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, the problem of the stability analysis for neutral singular systems with mixed delays is revisited. By the Lyapunov-Krasovskill functional approach and the singular system methodology, novel stability criteria are acquired, which can be easily expressed by linear matrix inequalities. First of all, in terms of Leibniz-Newton formula, zero equation with free-weighting matrices is fully constructed, which plays a key role in the field of stability analysis and makes the stability criterion feasible. Secondly, the asymptotically stability for neutral singular systems is strictly shown, which is different from other existing results. Thirdly, the regularity, non-impulsiveness and stability can be guaranteed based on some sufficient conditions. Finally, three numerical examples and simulation studies are presented to demonstrate the validity and feasibility of our method. (C) 2019 European Control Association. Published by Elsevier Ltd. All rights reserved.

引用

页码：59 / 67

页数：9

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