Simple uniform exponential stability conditions for a system of linear delay differential equations

Leonid Berezansky, Josef Diblík, Zdeněk Svoboda and Zdeněk Šmarda

Applied Mathematics and Computation, 2015, vol. 250, issue C, 605-614

Abstract: Uniform exponential stability of linear systems with time varying coefficientsẋi(t)=-∑j=1m∑k=1rijaijk(t)xj(hijk(t)),i=1,…,mis studied, where t⩾0,m and rij,i,j=1,…,m are natural numbers, aijk:[0,∞)→R and hijk:[0,∞)→R are measurable functions. New explicit result is derived with the proof based on Bohl–Perron theorem. The resulting criterion has advantages over some previous ones in that, e.g., it involves no M-matrix to establish stability. Several useful and easily verifiable corollaries are deduced and examples are provided to demonstrate the advantage of the stability result over known results.

Keywords: Uniform exponential stability; Linear delay differential system; Bohl–Perron theorem (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:250:y:2015:i:c:p:605-614

DOI: 10.1016/j.amc.2014.10.117

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