Mean square exponential stability of impulsive stochastic reaction-diffusion Cohen–Grossberg neural networks with delays

Dingshi Li, Danhua He and Daoyi Xu

Mathematics and Computers in Simulation (MATCOM), 2012, vol. 82, issue 8, 1531-1543

Abstract: In this paper, we establish a method to study the mean square exponential stability of the zero solution of impulsive stochastic reaction-diffusion Cohen–Grossberg neural networks with delays. By using the properties of M-cone and inequality technique, we obtain some sufficient conditions ensuring mean square exponential stability of the zero solution of impulsive stochastic reaction-diffusion Cohen–Grossberg neural networks with delays. The sufficient conditions are easily checked in practice by simple algebra methods and have a wider adaptive range. Two examples are also discussed to illustrate the efficiency of the obtained results.

Keywords: Mean square exponential stability; Impulsive; Stochastic reaction-diffusion system; Delays (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:82:y:2012:i:8:p:1531-1543

DOI: 10.1016/j.matcom.2011.11.007

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