Stability Analysis of Static Neural Network with Time-Varying Delays

Rui Zhang; Meng Xin Li; Mei Ju Liu

doi:10.4028/www.scientific.net/AMM.644-650.2442

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 644-650Stability Analysis of Static Neural Network with...

Stability Analysis of Static Neural Network with Time-Varying Delays

Abstract:

In this paper, the global exponential stability is discussed for static neural networks with time varying delays. On the basis of the linear matrix inequalities (LMIs) technique, and Lyapunov functional method, we have obtained the main condition to ensure the global exponential stability of the equilibrium point for this system, which is dependent on the change rate of time varying delays. The proposed result is less restrictive than those given in the earlier literatures, easier to check in practice. Remarks are made with other previous works to show the superiority of the obtained results, and the simulation examples are used to demonstrate the effectiveness of our results.

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Periodical:

Applied Mechanics and Materials (Volumes 644-650)

Pages:

2442-2445

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.644-650.2442

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Online since:

September 2014

Authors:

Rui Zhang*, Meng Xin Li, Mei Ju Liu

Keywords:

Global Exponential Stability, Linear Matrix Inequality (LMI), Lyapunov Functional, Static Neural Network (SNN)

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