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

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  • Xinzhi Liu
  • Xuemin shen
  • Yi Zhang

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.

Suggested Citation

  • Xinzhi Liu & Xuemin shen & Yi Zhang, 2001. "Absolute stability of nonlinear systems with time delays and applications to neural networks," Mathematical Problems in Engineering, Hindawi, vol. 7, pages 1-19, January.
    • Handle: RePEc:hin:jnlmpe:167163
    DOI: 10.1155/S1024123X01001715
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