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Delay-dependent criteria for robust stability of uncertain switched Hopfield neural networks

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Abstract

This paper deals with the problem of delay-dependent robust stability for a class of switched Hopfield neural networks with time-varying structured uncertainties and time-varying delay. Some Lyapunov-Krasovskii functionals are constructed and the linear matrix inequality (LMI) approach and free weighting matrix method are employed to devise some delay-dependent stability criteria which guarantee the existence, uniqueness and global exponential stability of the equilibrium point for all admissible parametric uncertainties. By using Leibniz-Newton formula, free weighting matrices are employed to express this relationship, which implies that the new criteria are less conservative than existing ones. Some examples suggest that the proposed criteria are effective and are an improvement over previous ones.

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Authors and Affiliations

  1. College of Communication and Control Engineering, Jiangnan University, 1800 Lihu Rd., Wuxi, 214122, PRC

    Xu-Yang Lou & Bao-Tong Cui

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  1. Xu-Yang Lou
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  2. Bao-Tong Cui
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Corresponding author

Correspondence to Bao-Tong Cui.

Additional information

This work is supported by the National Natural Science Foundation of China (No. 60674026) and the Key Research Foundation of Science and Technology of the Ministry of Education of China (No. 107058).

Xuyang Lou Ph.D candidate at College of Communication and Control Engineering, Jiangnan University, China. He received the B.S. degree from the Zhejiang Ocean University, China, in 2004. He has more than 30 academic journals papers been published or accepted from 2005.

His current research interests include dynamics of neural networks and chaos synchronization.

Baotong Cui received the Ph.D. degree in control theory and control engineering from the College of Automation Science and Engineering, South China University of Technology, China, in 2003. He was a post-doctoral fellow at Shanghai Jiaotong University, China, from 2003 to 2005. He joined the Department of Mathematics, Binzhou University, Shandong, China in 1980, where he became an associate professor in 1993 and a professor in 1995. In 2003, he moved to the Jiangnan University, China, where he is a professor of College of Communication and Control Engineering.

His current research interests include systems analysis, stability theory, artificial neural networks, impulsive control, and chaos synchronization.

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Lou, XY., Cui, BT. Delay-dependent criteria for robust stability of uncertain switched Hopfield neural networks. Int J Automat Comput 4, 304–314 (2007). https://doi.org/10.1007/s11633-007-0304-0

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  • DOI: https://doi.org/10.1007/s11633-007-0304-0

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