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Existence and Global Exponential Stability of Equilibrium for Impulsive Cellular Neural Network Models with Piecewise Alternately Advanced and Retarded Argument

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  • Kuo-Shou Chiu

Abstract

We introduce impulsive cellular neural network models with piecewise alternately advanced and retarded argument (in short IDEPCA). The model with the advanced argument is system with strong anticipation. Some sufficient conditions are established for the existence and global exponential stability of a unique equilibrium. The approaches are based on employing Banach’s fixed point theorem and a new IDEPCA integral inequality of Gronwall type. The criteria given are easily verifiable, possess many adjustable parameters, and depend on impulses and piecewise constant argument deviations, which provides exibility for the design and analysis of cellular neural network models. Several numerical examples and simulations are also given to show the feasibility and effectiveness of our results.

Suggested Citation

  • Kuo-Shou Chiu, 2013. "Existence and Global Exponential Stability of Equilibrium for Impulsive Cellular Neural Network Models with Piecewise Alternately Advanced and Retarded Argument," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-13, December.
    • Handle: RePEc:hin:jnlaaa:196139
    DOI: 10.1155/2013/196139
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    Cited by:

    1. Chiu, Kuo-Shou & Li, Tongxing, 2022. "New stability results for bidirectional associative memory neural networks model involving generalized piecewise constant delay," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 194(C), pages 719-743.

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