Mean square exponential stability of generalized stochastic neural networks with time‐varying delays

Jianjiang Yu, Kanjian Zhang, Shumin Fei · Asian Journal of Control · 2009

Abstract In this paper, the mean square exponential stability problem is dealt with a class of uncertain generalized stochastic neural networks with time‐varying delays. By introducing a new Lyapunov‐Krasovskii functional, improved delay‐dependent stability criteria are established in terms of linear matrix inequalities. The activation functions are assumed to be of more general descriptions, which generalize and improve those earlier methods. Finally, a numerical example is given to show that our results are less conservative and more efficient than the existing stability criteria. Copyright © 2009 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society

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