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Existence and global exponential stability of periodic solution of cellular neural networks with impulses and leakage delay. (English) Zbl 1167.34391
Summary: This paper investigates the global periodicity of cellular neural network with impulses and leakage delay (i.e. with delay state feedback instead of instantaneous state feedback). Several conditions guaranteeing the existence, uniqueness, and global exponential stability of periodic solution are derived by using the continuation theorem of coincidence degree theory and a suitable degenerate Lyapuniv-Krasvovskii functional together with model transformation technique.
MSC:
34K60Qualitative investigation and simulation of models
34K13Periodic solutions of functional differential equations
34K20Stability theory of functional-differential equations
34K45Functional-differential equations with impulses
92B20General theory of neural networks (mathematical biology)
47N20Applications of operator theory to differential and integral equations