Improved delay-range-dependent stability analysis of a time-delay system with norm bounded uncertainty

被引：15

作者：

Dey, Rajeeb ^{[1
]}

Ghosh, Sandip ^{[2
]}

Ray, Goshaidas ^{[3
]}

Rakshit, Anjan ^{[4
]}

Balas, Valentina Emilia ^{[5
]}

机构：

[1] Natl Inst Technol, Dept Elect Engn, Silchar 788010, India

[2] Natl Inst Technol, Dept Elect Engn, Rourkela 769008, India

[3] Indian Inst Technol, Dept Elect Engn, Kharagpur 721302, W Bengal, India

[4] Jadavpur Univ, Dept Elect Engn, Kolkata 700032, India

[5] Aurel Vlaicu Univ Arad, Dept Automat & Appl Informat, Arad 310130, Romania

来源：

ISA TRANSACTIONS | 2015年 / 58卷

关键词：

Time-delay systems (TDS); Robust stability; Lyapunov-Krasovskii (LK) functional; Linear matrix inequality (LMI); ROBUST STABILITY; NEURAL-NETWORKS; LINEAR-SYSTEMS; CRITERIA; STABILIZATION;

D O I：

10.1016/j.isatra.2015.06.012

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 presents improved robust delay-range-dependent stability analysis of an uncertain linear time-delay system following two different existing approaches - (i) non-delay partitioning (NDP) and (ii) delay partitioning (DP). The derived criterion (for both the approaches) proposes judicious use of integral inequality to approximate the uncertain limits of integration arising out of the time-derivative of Lyapunov-Krasovsldi (LK) functionals to obtain less conservative results. Further, the present work compares both the approaches in terms of relative merits as well as highlights tradeoff for achieving higher delay bound and (or) reducing number of decision variables without losing conservatism in delay bound results. The analysis and discussion presented in the paper are validated by considering relevant numerical examples. (C) 2015 ISA. Published by Elsevier Ltd. All rights reserved.

引用

页码：50 / 57

页数：8

共 43 条

[1]

[Anonymous], 1977, Applied Mathematical Sciences

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