Existence and global exponential stability of periodic solutions of recurrent cellular neural networks with impulses and delays

Zhanji Gui, Xiao-Song Yang and Weigao Ge

Mathematics and Computers in Simulation (MATCOM), 2008, vol. 79, issue 1, 14-29

Abstract: By using the continuation theorem of coincidence degree theory and constructing suitable Lyapunov functions, we study the existence, uniqueness and global exponential stability of periodic solutions for recurrent neural networks with impulsive perturbations and delays. Further, by using numerical simulation method, the influences of the impulsive perturbations on the inherent oscillations are investigated.

Keywords: Neural networks; Impulsive effect; Periodic solution; Quasi-periodic solution; Global exponential stability; Simulation method (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:79:y:2008:i:1:p:14-29

DOI: 10.1016/j.matcom.2007.09.001

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