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

Xinzhi Liu, Xuemin Shen and Yi Zhang

Mathematical Problems in Engineering, 2001, vol. 7, 1-19

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.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:167163

DOI: 10.1155/S1024123X01001715

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