Periodic solution and global exponential stability for shunting inhibitory delayed cellular neural networks. (English) Zbl 1057.34091

Chen, Anping; Cao, Jinde; Huang, Lihong

Electron. J. Differ. Equ. 2004, Paper No. 29, 16 p. (2004).

Shunting inhibitory delay cellular neural networks are studied. New criteria for the existence of a periodic solution and its global robust exponential stability are obtained by applying Young’s inequality and a Lyapunov functional. These obtained results can be used for designing globally stable and periodic oscillatory neural networks. An example is provided as well.

Reviewer: Angela Slavova (Sofia)

MSC:

34K13	Periodic solutions to functional-differential equations
34K20	Stability theory of functional-differential equations
92B20	Neural networks for/in biological studies, artificial life and related topics

Keywords:

delay cellular neural networks; periodic solutions; global exponential stability