Improved delay-dependent stability criteria for neutral systems with mixed interval time-varying delays and nonlinear disturbances

被引：32

作者：

Mohajerpoor, Reza ^{[1
]}

Shanmugam, Lakshmanan ^{[1
]}

Abdi, Hamid ^{[1
]}

Rakkiyappan, Rajan ^{[2
]}

Nahavandi, Saeid ^{[1
]}

Park, Ju H. ^{[3
]}

机构：

[1] Deakin Univ, IISRI, Waurn Ponds, Australia

[2] Bharathiar Univ, Dept Math, Coimbatore 641046, Tamil Nadu, India

[3] Yeungnam Univ, Dept Elect Engn, 280 Daehak Ro, Kyongsan 38541, South Korea

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2017年 / 354卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

MARKOVIAN JUMP SYSTEMS; OUTPUT-FEEDBACK CONTROL; NEURAL-NETWORKS; DISSIPATIVITY ANALYSIS; EXPONENTIAL STABILITY; STABILIZATION METHOD; ROBUST STABILITY; LINEAR-SYSTEMS; DESIGN;

D O I：

10.1016/j.jfranklin.2016.11.015

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

It is well-known that the stability analysis of time-delay systems is a key step to design appropriate controllers and/or filters for those systems. In this paper, the problem of the delay-dependent stability analysis of neutral systems with mixed interval time-varying delays with/without nonlinear perturbations is revisited. Bounded derivatives of the discrete and neutral delays with upper-bounds not limited to be strictly less than one are considered. New stability criteria are developed using the Lyapunov Krasovskii methodology which are expressed in terms of linear matrix inequalities (LMIs). An augmented Lyapunov Krasovskii functional (LKF) utilizing triple integral terms and the descriptor transformation is employed to this aim. In addition, advanced techniques such as Wirtinger-based single and double-integral inequalities, delay decomposition technique combined with the reciprocally convex approach, as well as a few effective free-weighting matrices are employed to achieve less conservative stability conditions. Comprehensive benchmarking numerical examples and simulation studies demonstrate the effectiveness of the proposed stability criteria with respect to some recently published results. The efficacy of the modern integral inequalities are also emphasized against the conventional.Tensen's inequalities. (C) 2016 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：1169 / 1194

页数：26

共 56 条

[1]

[Anonymous], 2014, LYAPUNOV BASED STABI

[2] Delay-dependent stability of neutral systems with time-varying delays using delay-decomposition approach [J].