A New LMI-Based Stability Criteria for Delayed Cellular Neural Networks

Authors:
Yanjun Shen;Linguo Zhang;Yong Zhang
Affiliations:
College of Science, China Three Gorges University, Yichang, Hubei, China 443002;Hubei Three Gorges Vocation and Technology College, Yichang, Hubei, China 443000;College of Science, China Three Gorges University, Yichang, Hubei, China 443002
Venue:
ISNN '09 Proceedings of the 6th International Symposium on Neural Networks on Advances in Neural Networks
Year:
2009

Citing 6
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Abstract

In this paper, the global asymptotic stability for delayed cellular neural networks is addressed with a new Lyapunov-Krasovskii function. New delay-independent LMI-based conditions for global asymptotic stability are derived. A key feature of the new approach is the introduction an integral of term of neuron activation functions in the Lyapunov-Krasovskill function, which can provide useful and less conservative results. Finally, two numerical examples show the effectiveness of the proposed method.