Periodic solution for state-dependent impulsive shunting inhibitory CNNs with time-varying delays

Date

2015-08-01

Author

Sayli, Mustafa
YILMAZ, ENES

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In this paper, we consider existence and global exponential stability of periodic solution for state-dependent impulsive shunting inhibitory cellular neural networks with time-varying delays. By means of B-equivalence method, we reduce these state-dependent impulsive neural networks system to an equivalent fix time impulsive neural networks system. Further, by using Mawhin's continuation theorem of coincide degree theory and employing a suitable Lyapunov function some new sufficient conditions for existence and global exponential stability of periodic solution are obtained. Previous results are improved and extended. Finally, we give an illustrative example with numerical simulations to demonstrate the effectiveness of our theoretical results.

Subject Keywords

Shunting inhibitory cellular neural networks, Global exponential stability, State-dependent impulsive systems, Periodicity

URI

https://hdl.handle.net/11511/65064

Journal

NEURAL NETWORKS

DOI

https://doi.org/10.1016/j.neunet.2015.04.004

Collections

Department of Mathematics, Article

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Citation Formats

M. Sayli and E. YILMAZ, “Periodic solution for state-dependent impulsive shunting inhibitory CNNs with time-varying delays,” NEURAL NETWORKS, pp. 1–11, 2015, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/65064.