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New Globally Asymptotic Stability Criteria for Delayed Cellular Neural Networks

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成果类型:
期刊论文
作者:
Xiao, Shen-Ping;Zhang, Xian-MIng
通讯作者:
Xiao, S.-P.
作者机构:
[Xiao, Shen-Ping] Hunan Univ Technol, Sch Elect & Informat Engn, Zhuzhou 412000, Peoples R China.
[Zhang, Xian-MIng] Cent Queensland Univ, Ctr Intelligent & Networked Syst, Rockhampton, Qld 4702, Australia.
[Zhang, Xian-MIng] Cent Queensland Univ, Sch Comp Sci, Rockhampton, Qld 4702, Australia.
通讯机构:
[Xiao, Shen-Ping] Hunan Univ Technol, Sch Elect & Informat Engn, Zhuzhou 412000, Peoples R China.
语种:
英文
关键词:
Convex combinations - Delay-dependent robust stability - Delay-dependent stability condition - Delayed cellular neural networks - Globally asymptotic stability - Linear matrix inequality (LMI) - Lyapunov-Krasovskii functionals - Numerical example - Stability analysis - Time-varying delay - Uncertain neural networks
期刊:
IEEE Transactions on Circuits and Systems II: Express Briefs
ISSN:
1549-7747
年:
2009
卷:
56
期:
8
页码:
659-663
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:Engineering, Electrical & Electronic
入藏号:
WOS:000269156000011;EI:20093712297732
基金类别:
Central Queensland University for Research Development and Incentives Program-Seed
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:
This brief is concerned with the stability analysis for cellular neural networks with time-varying delays. First, an appropriate Lyapunov-Krasovskii functional is introduced to form some new delay-dependent stability conditions in terms of linear matrix inequalities (LMIs). Quite differently, these stability criteria are derived by using the convex combination property, which equivalently converts the original LMI containing a convex combination on the time-varying delay into two boundary LMIs. Second, this newly proposed approach is then extended to a class of uncertain neural networks with time-varying delays, from which new delay-dependent robust stability criteria are formulated. Finally, two numerical examples are given to show that the proposed criteria are of much less conservatism than the existing ones in the literature. ©2009 IEEE.
参考文献:
GU K, 2003, STABILITY TIME DELAY, P204
He Y, 2004, SYST CONTROL LETT, V51, P57, DOI 10.1016/S0167-6911(03)00207-X
He Y, 2005, PHYSICA D, V212, P126, DOI 10.1016/j.physd.2005.09.013
He Y, 2006, IEEE T CIRCUITS-II, V53, P553, DOI 10.1109/TCSII.2006.876385
He Y, 2007, IEEE T NEURAL NETWOR, V18, P310, DOI 10.1109/TNN.2006.888373

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