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Exponential stability of linear delayed differential systems

Author

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  • Berezansky, Leonid
  • Diblík, Josef
  • Svoboda, Zdeněk
  • Šmarda, Zdeněk

Abstract

Linear delayed differential systems x˙i(t)=−∑j=1m∑k=1rijaijk(t)xj(hijk(t)),i=1,…,mare analyzed on a half-infinity interval t ≥ 0. It is assumed that m and rij, i,j=1,…,m are natural numbers and the coefficients aijk:[0,∞)→R and delays hijk:[0,∞)→R are measurable functions. New explicit results on uniform exponential stability are derived including, as partial cases, recently published results.

Suggested Citation

  • Berezansky, Leonid & Diblík, Josef & Svoboda, Zdeněk & Šmarda, Zdeněk, 2018. "Exponential stability of linear delayed differential systems," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 474-484.
    • Handle: RePEc:eee:apmaco:v:320:y:2018:i:c:p:474-484
    DOI: 10.1016/j.amc.2017.10.013
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    References listed on IDEAS

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    1. Berezansky, Leonid & Diblík, Josef & Svoboda, Zdeněk & Šmarda, Zdeněk, 2015. "Simple uniform exponential stability conditions for a system of linear delay differential equations," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 605-614.
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    Cited by:

    1. Teresa Faria, 2021. "Permanence for Nonautonomous Differential Systems with Delays in the Linear and Nonlinear Terms," Mathematics, MDPI, vol. 9(3), pages 1-20, January.
    2. Oliveira, José J., 2022. "Global stability criteria for nonlinear differential systems with infinite delay and applications to BAM neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).

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