Global exponential stability and existence of anti-periodic solutions to impulsive Cohen-Grossberg neural networks on time scales

Tianwei Zhang, Yongkun Li

DOI: http://dx.doi.org/10.12775/TMNA.2015.018

Abstract


By using the method of coincidence degree theory and Lyapunov functions, some new criteria are established for the existence and global exponential stability of anti-periodic solutions to impulsive Cohen-Grossberg neural networks on time scales. Our results are new even if the time scale $\mathbb{T}=\mathbb{R}$ or $\mathbb{Z}$. Finally, an example is given to illustrate our results.

Keywords


Anti-periodic solution; Cohen--Grossberg neuralnetworks; impulse; time scale

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