Exponential stability of linear delayed differential systems

Leonid Berezansky, Josef Diblík, Zdeněk Svoboda and Zdeněk Šmarda

Applied Mathematics and Computation, 2018, vol. 320, issue C, 474-484

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.

Keywords: Linear delayed differential system; Exponential stability; Bohl–Perron theorem (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:320:y:2018:i:c:p:474-484

DOI: 10.1016/j.amc.2017.10.013

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