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Frontiers of Computer Science

ISSN 2095-2228

ISSN 2095-2236(Online)

CN 10-1014/TP

邮发代号 80-970

2019 Impact Factor: 1.275

Frontiers of Computer Science  2017, Vol. 11 Issue (4): 555-567   https://doi.org/10.1007/s11704-016-6120-3
  本期目录
A survey on Lyapunov-based methods for stability of linear time-delay systems
Jian SUN1,2(), Jie CHEN1,2
1. School of Automation, Beijing Institute of Technology, Beijing 100081, China
2. Key Laboratory of Intelligent Control and Decision of Complex System, Beijing Institute of Technology, Beijing 100081, China
 全文: PDF(314 KB)  
Abstract

Recently, stability analysis of time-delay systems has received much attention. Rich results have been obtained on this topic using various approaches and techniques. Most of those results are based on Lyapunov stability theories. The purpose of this article is to give a broad overview of stability of linear time-delay systems with emphasis on the more recent progress. Methods and techniques for the choice of an appropriate Lyapunov functional and the estimation of the derivative of the Lyapunov functional are reported in this article, and special attention is paid to reduce the conservatism of stability conditions using as few as possible decision variables. Several future research directions on this topic are also discussed.

Key wordstime-delay system    delay-independent stability    delay-dependent stability    linear matrix inequality    Lyapunov-Krasovskii functional
收稿日期: 2016-02-29      出版日期: 2017-07-26
Corresponding Author(s): Jian SUN   
 引用本文:   
. [J]. Frontiers of Computer Science, 2017, 11(4): 555-567.
Jian SUN, Jie CHEN. A survey on Lyapunov-based methods for stability of linear time-delay systems. Front. Comput. Sci., 2017, 11(4): 555-567.
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https://academic.hep.com.cn/fcs/CN/10.1007/s11704-016-6120-3
https://academic.hep.com.cn/fcs/CN/Y2017/V11/I4/555
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