TAILIEUCHUNG - On exponential stability of bidirectional associative memory neural networks with time-varying delays

For bidirectional associate memory neural networks with time-varying delays, the problems of determining the exponential stability and estimating the exponential convergence rate are investigated by employing the Lyapunov functional method and linear matrix inequality (LMI) technique. A novel criterion for the stability, which give information on the delay-dependent property, is derived. | ARTICLE IN PRESS Available online at ScienceDirect CHAOS SOLITONS FRACTALS ELSEVIER Chaos Solitons and Fractals xxx 2007 xxx-xxx locate chaos On exponential stability of bidirectional associative memory neural networks with time-varying delays Ju H. Park a . Lee b . Kwon c a Department of Electrical Engineering Yeungnam University 214-1 Dae-Dong Kyongsan 712-749 Republic of Korea b Platform Verification Division BcN Business Unit KT Co. Ltd. Daejeon Republic of Korea c School of Electrical and Computer Engineering Chungbuk National University Cheongju 361-763 Republic of Korea Accepted 19 April 2007 Abstract For bidirectional associate memory neural networks with time-varying delays the problems of determining the exponential stability and estimating the exponential convergence rate are investigated by employing the Lyapunov functional method and linear matrix inequality LMI technique. A novel criterion for the stability which give information on the delay-dependent property is derived. A numerical example is given to demonstrate the effectiveness of the obtained results. 2007 Elsevier Ltd. All rights reserved. 1. Introduction As an extension of the unidirectional autoassociator of Hopfield 1 Kosko 2 has proposed a series of neural networks related to bidirectional associative memory BAM . This class of networks has good application in the area of pattern recognition and artificial intelligence. Therefore the BAM neural networks has been one of the most interesting research topics and has attracted the attention of many researchers. For instance refer to Refs. 3-10 . Also time delay will inevitably occur in the communication and response of neurons owing to the unavoidable finite switching speed of amplifiers in the electronic implementation of analog neural networks so it is more in accordance with this fact to study the BAM neural networks with time delays. The existence of time delay is frequently a source of .

• Quản trị mạng
• exponential stability
• article in press
• bidirectional associative
• memory neural networks
• time varying delays
• Bài viết nghiên cứu khoa học
• Time varying delay
• linear matrix inequalities
• Delay dependent exponential stability
• Linear systems
• Fast time varying delay
• 2D systems
• Lyapunov Krasovskii function
• Mixed time varying delays
• Exponential stability of 2D discrete systems
• Neural networks
• Positive equilibrium
• Conformable FONNs
• Fractional Lyapunov theorem
• Convex polytopic uncertainty
• Fractional exponential stability
• Stochastic 2D g Navier Stokes equations
• Exponential behavior
• These equations are stated
• Poincare’s inequality
• Tạp chí khoa học
• Khoa học tự nhiên
• Delay equation
• Almost sure exponential stability
• Ito formula
• Lyapunov function
• VNU Journal of Science
• The perron effect for exponential stability
• Differential systems on time scales
• Linear dynamic equation
• The suitable small enough Lipchitz perturbed equation
• Lipchitz perturbed equation
• Switched systems
• Leibniz Newton formula
• Natural sciences
• Global exponential stability
• Unbounded delays
• Nonautonomous cellular neural networks
• Liapunov functional
• Cellular neural networks
• Unbounded delay
• Nonlinear systems
• Wirtinger based integral inequality
• Interval time varying delays
• New delay dependent condition
• Journal of natural science
• Switching system
• Time delay system
• Nonlinear perturbation
• Lyapunov equation
• Neutral systems
• Interval time varying delay
• Nonlinear uncertainty
• Linear matrix inequality
• Singular system
• Guarantees that the system is regular
• On the stability analysis of delay differential algebraic equations
• Delay differential algebraic equations
• Differential algebraic equations
• The exponential stability of dynamical systems
• Special classes of DDAEs
• Differential algebraic equation
• báo cáo khoa học
• báo cáo hóa học
• công trình nghiên cứu về hóa học
• tài liệu về hóa học
• cách trình bày báo cáo
• Delay feedback control
• Riccati equation
• Input delay
• Time varying systems
• Ultimate stability
• Exponential convergence
• Bounded disturbances
• M matrix
• Networked control system
• Almost surely exponential stability
• Maximum allowable transfer interval
• Stochastic perturbations
• systems
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• a practical approach to signal
• physical systems
• system transfer funtion