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Title

Tree Lyapunov Second Method and Certain Matrix Inequalities for Some Class of Deyla-Difference System of Cellular Neural Networks

Author

Mohammad kh. Abunawas, Mohammad A. Al-Rababah

Citation

Vol. 10  No. 4  pp. 250-254

Abstract

In this paper, we derive a sufficient condition for asymtotic stability of the zero solution of delay- difference system of cellular neural networks in terms of certain matrix inequalities by using a discrete version of the Lyapunov second method. The result is applied to obtain new asymptotic stability codition in terms of matrix inequalities for some class of delay- difference system of cellular neural networks such as delay- difference system of cellular neural networks with multiple delays in terms of certain matrix inequalities. Our results can be well suited for computational purposes.

Keywords

Asymptotic stability, Delay-difference system, Cellular neural networks, Lyapunov function, Matrix inequalities

URL

http://paper.ijcsns.org/07_book/201004/20100437.pdf