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Zbl 1115.34072
Yang, Yongqing; Cao, Jinde
Stability and periodicity in delayed cellular neural networks with impulsive effects. (English)
[J] Nonlinear Anal., Real World Appl. 8, No. 1, 362-374 (2007). ISSN 1468-1218

Global exponential stability and periodicity are investigated for delayed cellular neural networks with impulsive effects. Some sufficient conditions are derived for checking the global exponential stability. The existence of a periodic solution for this system is based on the Halanay inequality and a fixed point theorem. The criteria given are easily verifiable, possess many adjustable parameters, and depend on the impulses.
[Alexander O. Ignatyev (Donetsk)]

MSC 2000:: *34K20 Stability theory of functional-differential equations
34K45 Equations with impulses
34K13 Periodic solutions of functional differential equations

Keywords: Global exponential stability; periodic solution

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