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Stability and periodicity in delayed cellular neural networks with impulsive effects. (English) Zbl 1115.34072
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.
MSC:
34K20Stability theory of functional-differential equations
34K45Functional-differential equations with impulses
34K13Periodic solutions of functional differential equations