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Impulsive Control for a Class of Cellular Neural Networks with Proportional Delay

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This paper is concerned with a class of cellular neural networks with proportional delay and impulses. First, by employing the improved Razumikhin technique and Lyapunov functions, some delay-dependent criteria are… Click to show full abstract

This paper is concerned with a class of cellular neural networks with proportional delay and impulses. First, by employing the improved Razumikhin technique and Lyapunov functions, some delay-dependent criteria are established to guarantee asymptotic stability and global stability of a class of general impulsive differential equations with proportional delay. Second, applying the obtained criteria, we get some delay-dependent sufficient conditions ensuring the existence, uniqueness and globally asymptotic stability of the equilibrium point of the cellular neural networks with proportional delay and impulses presented in this paper. Finally, three examples are presented to illustrate the effectiveness and advantages of the results obtained.

Keywords: neural networks; class; networks proportional; delay; cellular neural; proportional delay

Journal Title: Neural Processing Letters
Year Published: 2017

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