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Coefficient conditions for the asymptotic stability of solutions of systems of linear difference equations with continuous time and delay

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Abstract

We establish sufficient algebraic coefficient conditions for the asymptotic stability of solutions of systems of linear difference equations with continuous time and delay in the case of a rational correlation between delays. We use (n 2 + m)-parameter Lyapunov functions (n is the dimension of the system of equations and m is the number of delays).

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References

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    D. G. Korenevskii

  2. Cologne University, Cologne, Germany

    K. Kaizer

Authors
  1. D. G. Korenevskii
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  2. K. Kaizer
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 4, pp. 516–522, April, 1998.

This work was partially supported by the Joint Foundation of the Ukrainian Government and the Soros International Science Foundation (grant No. K42199).

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Korenevskii, D.G., Kaizer, K. Coefficient conditions for the asymptotic stability of solutions of systems of linear difference equations with continuous time and delay. Ukr Math J 50, 586–592 (1998). https://doi.org/10.1007/BF02487390

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  • DOI: https://doi.org/10.1007/BF02487390

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