Criteria for Exponential Stability of Cohen-Grossberg Neural Networks with Multiple Time-Varying Delays

Authors:
Anhua Wan;Weihua Mao
Affiliations:
School of Mathematics and Computational Science, Sun Yat-sen University, Guangzhou, China 510275;Department of Applied Mathematics, College of Science, South China Agricultural University, Guangzhou, China 510642 and College of Automation Science and Engineering, South China University of Tec ...
Venue:
ICIC '08 Proceedings of the 4th international conference on Intelligent Computing: Advanced Intelligent Computing Theories and Applications - with Aspects of Artificial Intelligence
Year:
2008

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Abstract

The exponential stability is analyzed for Cohen-Grossberg neural networks with multiple time-varying delays. The boundedness, differentiability or monotonicity condition is not assumed on the activation functions. Lyapunov functional method is employed to investigate the stability of the neural networks, and general sufficient conditions for the global exponential stability are derived. A numerical example is presented to demonstrate the effectiveness of the obtained criteria.