Delay-Dependent Exponential Stability of Cellular Neural Networks with Multi-Proportional Delays

Authors:
Liqun Zhou
Affiliations:
Science of Mathematics College, Tianjin Normal University, Tianjin, China 300387
Venue:
Neural Processing Letters
Year:
2013

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Abstract

Global exponential stability of a class of cellular neural networks with multi-proportional delays is investigated. New delay-dependent sufficient conditions ensuring global exponential stability for the system presented here are related to the size of the proportional delay factor, by employing matrix theory and Lyapunov functional, and without assuming the differentiability, boundedness and monotonicity of the activation functions. Two examples and their simulation results are given to illustrate the effectiveness of the obtained results.