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Zbl 1167.34373
Tan, Mingjia; Tan, Yong
Global exponential stability of periodic solution of neural network with variable coefficients and time-varying delays. (English)
[J] Appl. Math. Modelling 33, No. 1, 373-385 (2009). ISSN 0307-904X

Summary: By using the continuation theorem of Mawhin's coincidence degree theory and some inequality techniques, some new sufficient conditions are obtained ensuring existence and global exponential stability of periodic solution of neural networks with variable coefficients and time-varying delays. These results are helpful to design globally exponentially stable and oscillatory neural networks. Finally, the validity and performance of the obtained results are illustrated by two examples.

MSC 2000:: *34K13 Periodic solutions of functional differential equations
34K20 Stability theory of functional-differential equations

Keywords: periodic solution; global exponential stability; coincidence degree; neural networks; delays

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