Exponential stability of linear delayed differential systems
2017; Elsevier BV; Volume: 320; Linguagem: Inglês
10.1016/j.amc.2017.10.013
ISSN1873-5649
AutoresLeonid Berezansky, Josef Diblı́k, Zdeněk Svoboda, Zdeněk Šmarda,
Tópico(s)Control and Stability of Dynamical Systems
ResumoLinear 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.
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