title: 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 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.
authors.affiliation: Department of Mechanical Engineering, University of Hong Kong, Pokfulam, Hong Kong. oncharge@hku.hk
authors.forename: Zhiguang
authors.initials: Z
authors.lastname: Feng
authors.forename: James
authors.initials: J
authors.lastname: Lam
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D008962:Models, Theoretical; D016571:Neural Networks, Computer; D010363:Pattern Recognition, Automated / Q000379:methods*