Absolute stability of nonlinear systems with time delays and applications to neural networks

Liu, Xinzhi; shen, Xuemin; Zhang, Yi

doi:https://doi.org/10.1155/S1024123X01001715

Mathematical Problems in Engineering

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Volume 7 | Article ID 167163 | https://doi.org/10.1155/S1024123X01001715

Absolute stability of nonlinear systems with time delays and applications to neural networks

Xinzhi Liu,¹Xuemin shen,²and Yi Zhang¹

Received05 Jan 2000

Abstract

In this paper, absolute stability of nonlinear systems with time delays is investigated. Sufficient conditions on absolute stability are derived by using the comparison principle and differential inequalities. These conditions are simple and easy to check. In addition, exponential stability conditions for some special cases of nonlinear delay systems are discussed. Applications of those results to cellular neural networks are presented.

Copyright

Copyright © 2001 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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