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Zbl 1167.34391
Wang, Hui; Li, Chuandong; Xu, Hongbing
Existence and global exponential stability of periodic solution of cellular neural networks with impulses and leakage delay. (English)
[J] Int. J. Bifurcation Chaos Appl. Sci. Eng. 19, No. 3, 831-842 (2009). ISSN 0218-1274

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 2000:: *34K60 Applications of functional-differential equations
34K13 Periodic solutions of functional differential equations
34K20 Stability theory of functional-differential equations
34K45 Equations with impulses
92B20 General theory of neural networks
47N20 Appl. of operator theory to differential and integral equations

Keywords: cellular neural networks (CNNs); periodic solution; leakage delay; exponential stability; degree theory

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