Delay-Dependent Criteria for Global Robust Periodicity of Uncertain Switched Recurrent Neural Networks With Time-Varying Delay | IEEE Journals & Magazine | IEEE Xplore
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Journals & Magazines >IEEE Transactions on Neural N... >Volume: 19 Issue: 4

Delay-Dependent Criteria for Global Robust Periodicity of Uncertain Switched Recurrent Neural Networks With Time-Varying Delay

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Xuyang Lou; Baotong Cui
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Abstract:

In this paper, we introduce some ideas of switched systems into the field of neural networks and a large class of switched recurrent neural networks (SRNNs) with time-var...Show More

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Abstract:

In this paper, we introduce some ideas of switched systems into the field of neural networks and a large class of switched recurrent neural networks (SRNNs) with time-varying structured uncertainties and time-varying delay is investigated. Some delay-dependent robust periodicity criteria guaranteeing the existence, uniqueness, and global asymptotic stability of periodic solution for all admissible parametric uncertainties are devised by taking the relationship between the terms in the Leibniz-Newton formula into account. Because free weighting matrices are used to express this relationship and the appropriate ones are selected by means of linear matrix inequalities (LMIs), the criteria are less conservative than existing ones reported in the literature for delayed neural networks with parameter uncertainties. Some examples are given to show that the proposed criteria are effective and are an improvement over previous ones.
Published in: IEEE Transactions on Neural Networks ( Volume: 19, Issue: 4, April 2008)
Page(s): 549 - 557
Date of Publication: 02 February 2008

ISSN Information:

PubMed ID: 18390303
DOI: 10.1109/TNN.2007.910734
Author image of Xuyang Lou
College of Communication and Control Engineering, Jiangnan University, Wuxi, Jiangsu, China
Division of Mathematical and Information Sciences, CSIRO, SA, Australia
Xuyang Lou was born in 1982. He received the B.Sc. degree in electrical engineering and automation from Zhejiang Ocean University, Zhoushan, China, in 2004. Currently, he is working towards the Ph.D. degree at the College of Communication and Control Engineering, Jiangnan University, Jiangsu, China.
He has published more than 30 research journal papers, and his current research interests include neural networks, stability ...Show More
Xuyang Lou was born in 1982. He received the B.Sc. degree in electrical engineering and automation from Zhejiang Ocean University, Zhoushan, China, in 2004. Currently, he is working towards the Ph.D. degree at the College of Communication and Control Engineering, Jiangnan University, Jiangsu, China.
He has published more than 30 research journal papers, and his current research interests include neural networks, stability ...View more
Author image of Baotong Cui
College of Communication and Control Engineering, Jiangnan University, Wuxi, Jiangsu, China
Baotong Cui was born in 1960. He received the Ph.D. degree in control theory and control engineering from the College of Automation Science and Engineering, South China University of Technology, Guangzhou, China, in 2003.
He was a Postdoctoral Fellow at Shanghai Jiaotong University, Shanghai, China, from 2003 to 2005, and a Visiting Scholar at the Department of Electrical and Computer Engineering, National University of Si...Show More
Baotong Cui was born in 1960. He received the Ph.D. degree in control theory and control engineering from the College of Automation Science and Engineering, South China University of Technology, Guangzhou, China, in 2003.
He was a Postdoctoral Fellow at Shanghai Jiaotong University, Shanghai, China, from 2003 to 2005, and a Visiting Scholar at the Department of Electrical and Computer Engineering, National University of Si...View more
Contents

I. Introduction

Recently, delayed Hopfield neural networks (HNNs) and delayed cellular neural networks (CNNs) have attracted considerable attentions. The dynamics of HNNs with delays have been deeply investigated due to its applicability in solving associative memories, optimization solvers, and signal processing problems, and the dynamics of delayed CNNs have been also deeply studied due to its applicability in solving some image processing, signal processing, and pattern recognition problems; see [1]–[12] for some recent results.

Author image of Xuyang Lou
College of Communication and Control Engineering, Jiangnan University, Wuxi, Jiangsu, China
Division of Mathematical and Information Sciences, CSIRO, SA, Australia
Xuyang Lou was born in 1982. He received the B.Sc. degree in electrical engineering and automation from Zhejiang Ocean University, Zhoushan, China, in 2004. Currently, he is working towards the Ph.D. degree at the College of Communication and Control Engineering, Jiangnan University, Jiangsu, China.
He has published more than 30 research journal papers, and his current research interests include neural networks, stability analysis, and synchronization.
Xuyang Lou was born in 1982. He received the B.Sc. degree in electrical engineering and automation from Zhejiang Ocean University, Zhoushan, China, in 2004. Currently, he is working towards the Ph.D. degree at the College of Communication and Control Engineering, Jiangnan University, Jiangsu, China.
He has published more than 30 research journal papers, and his current research interests include neural networks, stability analysis, and synchronization.View more
Author image of Baotong Cui
College of Communication and Control Engineering, Jiangnan University, Wuxi, Jiangsu, China
Baotong Cui was born in 1960. He received the Ph.D. degree in control theory and control engineering from the College of Automation Science and Engineering, South China University of Technology, Guangzhou, China, in 2003.
He was a Postdoctoral Fellow at Shanghai Jiaotong University, Shanghai, China, from 2003 to 2005, and a Visiting Scholar at the Department of Electrical and Computer Engineering, National University of Singapore, Singapore, from 2007 to 2008. He became an Associate Professor in 1993 and a Full Professor in 1995 at the Department of Mathematics, Binzhou University, Shandong, China. He joined the College of Communication and Control Engineering, Jiangnan University, Jiangsu, China, in 2003, where he is a Full Professor. His current research interests include systems analysis, stability theory, impulsive control, artificial neural networks, and chaos synchronization.
Baotong Cui was born in 1960. He received the Ph.D. degree in control theory and control engineering from the College of Automation Science and Engineering, South China University of Technology, Guangzhou, China, in 2003.
He was a Postdoctoral Fellow at Shanghai Jiaotong University, Shanghai, China, from 2003 to 2005, and a Visiting Scholar at the Department of Electrical and Computer Engineering, National University of Singapore, Singapore, from 2007 to 2008. He became an Associate Professor in 1993 and a Full Professor in 1995 at the Department of Mathematics, Binzhou University, Shandong, China. He joined the College of Communication and Control Engineering, Jiangnan University, Jiangsu, China, in 2003, where he is a Full Professor. His current research interests include systems analysis, stability theory, impulsive control, artificial neural networks, and chaos synchronization.View more
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