Stability and dissipativity analysis of distributed delay cellular neural networks

Abstract

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 LyapunovKrasovskii 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. © 2011 IEEE.