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Free-matrix-based integral inequality for stability analysis of systems with time-varying delay

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WOS被引频次:194
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成果类型:
期刊论文
作者:
Zeng, Hong-Bing;He, Yong;Wu, Min;She, Jinhua
通讯作者:
Zeng, HB
作者机构:
[He, Yong; Wu, Min] School of Automation, China University of Geosciences, Wuhan, China
[Zeng, Hong-Bing] School of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou, China
[She, Jinhua] School of Computer Science, Tokyo University of Technology, Tokyo, Japan
[She, Jinhua] School of Information Science and Engineering, Central South University, Changsha, China
通讯机构:
[Zeng, HB] Hunan Univ Technol, Sch Elect & Informat Engn, Zhuzhou 412007, Peoples R China.
语种:
英文
关键词:
Free-matrix-based integral inequality;Lyapunov-Krasovskii functional;stability;time delay system;time-varying delay
期刊:
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN:
0018-9286
年:
2015
卷:
60
期:
10
页码:
2768-2772
文献类别:
WOS:Article;EI:Journal article (JA)
所属学科:
ESI学科类别:工程学;WOS学科类别:Automation & Control Systems;Engineering, Electrical & Electronic
入藏号:
WOS:000367284100023;EI:20154101345147
基金类别:
National Natural Science Foundation of China [61125301, 61210011, 61304064, 61273157]
机构署名:
本校为通讯机构
院系归属:
电气与信息工程学院
计算机与通信学院
摘要:
The free-weighting matrix and integral-inequality methods are widely used to derive delay-dependent criteria for the stability analysis of time-varying-delay systems because they avoid both the use of a model transformation and the technique of bounding cross terms. This technical note presents a new integral inequality, called a free-matrix-based integral inequality, that further reduces the conservativeness in those methods. It includes well-known integral inequalities as special cases. Using it to investigate the stability of systems with time-varying delays yields less conservative delay-dependent stability criteria, which are given in terms of linear matrix inequalities. Two numerical examples demonstrate the effectiveness and superiority of the method. ©1963-2012 IEEE.
参考文献:
Ariba Y., 2009, P 48 IEEE C DEC CONT
de Oliveira M. C., 2001, STABILITY TESTS CONS
Fridman E, 2002, IEEE T AUTOMAT CONTR, V47, P253, DOI 10.1109/9.983353
Gu K., 2003, STABILITY TIME DELAY
Han QL, 2005, AUTOMATICA, V41, P2171, DOI 10.1016/j.automatica.2005.08.005

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