×

Exponential stability of anti-periodic for a class of cellular neural networks with proportional delays. (Chinese. English summary) Zbl 1389.34219

Summary: In this paper, the global exponential stability of anti-periodic solutions of a class of cellular neural networks with proportional delays is discussed. Firstly, a class of cellular neural networks with proportional delays is transformed equivalently into a class of cellular neural networks with constant delays and variable coefficients. Then, by establishing appropriate delay differential inequalities and applying an inequality technique, a delay-dependent sufficient condition is obtained to ensure the existence and global exponential stability of anti-periodic solutions of the system. Finally, numerical results indicate that the proposed method is correct and less conservative than the existing results.

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
PDFBibTeX XMLCite
Full Text: DOI