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

Tianwei Zhang, Yongkun Li · Topological Methods in Nonlinear Analysis · 2015

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.

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