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New results on stability analysis for systems with discrete distributed delay

ESI高被引SCI-EEI
WOS被引频次:106
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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:
[She, Jinhua] School of Engineering, Tokyo University of Technology, Tokyo, Japan
[She, Jinhua; Wu, Min; He, Yong] School of Automation, China University of Geosciences, Wuhan, China
[Zeng, Hong-Bing] School of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou, China
通讯机构:
[Zeng, Hong-Bing] Hunan Univ Technol, Sch Elect & Informat Engn, Zhuzhou 412007, Peoples R China.
语种:
英文
关键词:
Systems with time delay;Integral inequality;Stability;Lyapunov-Krasovskii functional
期刊:
Automatica
ISSN:
0005-1098
年:
2015
卷:
60
页码:
189-192
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:000361073600024;EI:20153601248236
基金类别:
National Natural Science Foundation of China [61125301, 61210011, 61304064, 61273157]; Natural Science Foundation of Hunan Province [2015JJ3064, 2015JJ5021]
机构署名:
本校为第一且通讯机构
院系归属:
电气与信息工程学院
摘要:
The integral inequality technique is widely used to derive delay-dependent conditions, and various integral inequalities have been developed to reduce the conservatism of the conditions derived. In this study, a new integral inequality was devised that is tighter than existing ones. It was used to investigate the stability of linear systems with a discrete distributed delay, and a new stability condition was established. The results can be applied to systems with a delay belonging to an interval, which may be unstable when the delay is small or nonexistent. Three numerical examples demonstrate the effectiveness and the smaller conservatism of the method. (C) 2015 Elsevier Ltd. All rights reserved.
参考文献:
Chen WH, 2007, AUTOMATICA, V43, P95, DOI 10.1016/j.automatica.2006.07.019
Fridman E, 2002, IEEE T AUTOMAT CONTR, V47, P1931, DOI 10.1109/TAC.2002.804462
Gu K., 2003, STABILITY TIME DELAY
Han QL, 2005, AUTOMATICA, V41, P2171, DOI 10.1016/j.automatica.2005.08.005
Kao CY, 2007, AUTOMATICA, V43, P959, DOI 10.1016/j.automatica.2006.12.006

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