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Stability and Dissipativity Analysis of Distributed Delay Cellular Neural Networks

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2 Author(s)
Zhiguang Feng ; Dept. of Mech. Eng., Univ. of Hong Kong, Hong Kong, South Korea ; Lam, J.

In this brief, the problems of delay-dependent stability analysis and strict (Q,S,ℜ)-α-dissipativity analysis are investigated for cellular neural networks (CNNs) with distributed delay. First, by introducing an integral partitioning technique, two new forms of Lyapunov-Krasovskii functionals are constructed, and improved distributed delay-dependent stability conditions are established in terms of linear matrix inequalities. Based on this criterion, a new sufficient delay and α-dependent condition is given to guarantee that the CNNs with distributed delay are strictly (Q,S,ℜ)-α-dissipative. The results developed in this brief can tolerate larger allowable delay than existing ones in the literature, which is demonstrated by several examples.

Published in:

Neural Networks, IEEE Transactions on  (Volume:22 ,  Issue: 6 )

Date of Publication:

June 2011

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