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Convergence of Delayed Dynamical Systems

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Abstract

In this paper, we point out that the conditions given in [1] are sufficient but unnecessary for the global asymptotically stable equilibrium of a class of delay differential equations. Instead, we prove that under weaker conditions, it is still global asymptotically stable.

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Reference

  1. Gopalsamy, K. and Leung, Issic K. C.:Convergence under dynamical thresholds with delays, IEEE Trans. on Neural Networks, 8(2) (1997), 341–348.

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Chen, T. Convergence of Delayed Dynamical Systems. Neural Processing Letters 10, 267–271 (1999). https://doi.org/10.1023/A:1018753013035

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  • DOI: https://doi.org/10.1023/A:1018753013035

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