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

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

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Article ID: iaor20123990
Volume: 82
Issue: 8
Start Page Number: 1531
End Page Number: 1543
Publication Date: Apr 2012
Journal: Mathematics and Computers in Simulation
Authors: , ,
Keywords: control, stochastic processes
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.

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