Stationary oscillation for cellular neural networks with time delays and impulses

Yinping Zhang

Mathematics and Computers in Simulation (MATCOM), 2009, vol. 79, issue 10, 3174-3178

Abstract: This paper studies stationary oscillation for a time-varying recurrent cellular neural network with time delays and impulses. In a recent paper, the authors claim that they obtain a criterion of existence, uniqueness, and global exponential stability of periodic solution (i.e. stationary oscillation) for a recurrent cellular neural network with time delays and impulses. We point out that the main result of their paper is incorrect, and present a sufficient condition of stationary oscillation for a time-varying recurrent cellular neural networks with time delays and impulses. An numerical example is given to illustrate the effectiveness of the obtained result.

Keywords: Recurrent cellular neural networks; Periodic solution; Global stability; Delay; Impulse (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:79:y:2009:i:10:p:3174-3178

DOI: 10.1016/j.matcom.2009.03.009

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