TY - JOUR
T1 - Exponential stability of linear delayed differential systems
AU - Berezansky, Leonid
AU - Diblík, Josef
AU - Svoboda, Zdeněk
AU - Šmarda, Zdeněk
N1 - Funding Information:
The second, third and fourth authors were supported by the Grant FEKT-S-17-4225 of Faculty of Electrical Engineering and Communication, Brno University of Technology.
Publisher Copyright:
© 2017 Elsevier Inc.
PY - 2018/3/1
Y1 - 2018/3/1
N2 - 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.
AB - 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.
KW - Bohl–Perron theorem
KW - Exponential stability
KW - Linear delayed differential system
UR - http://www.scopus.com/inward/record.url?scp=85032273653&partnerID=8YFLogxK
U2 - 10.1016/j.amc.2017.10.013
DO - 10.1016/j.amc.2017.10.013
M3 - Article
AN - SCOPUS:85032273653
SN - 0096-3003
VL - 320
SP - 474
EP - 484
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
ER -