TY - JOUR
T1 - New exponential stability conditions for linear delayed systems of differential equations
AU - Berezansky, Leonid
AU - Diblík, Josef
AU - Svoboda, Zdenĕk
AU - Šmarda, Zdenĕk
N1 - Publisher Copyright:
© 2016, University of Szeged. All rights reserved.
PY - 2016/1/1
Y1 - 2016/1/1
N2 - New explicit results on exponential stability, improving recently published results by the authors, are derived for linear delayed systems (formula presented) where t ≥ 0, m and rij, i, j = 1,…,m are natural numbers, akij : [0,∞) →ℝ are measurable coefficients, and hk ij : [0,∞) →ℝ are measurable delays. The progress was achieved by using a new technique making it possible to replace the constant 1 by the constant 1 + 1/e on the right-hand sides of crucial inequalities ensuring exponential stability.
AB - New explicit results on exponential stability, improving recently published results by the authors, are derived for linear delayed systems (formula presented) where t ≥ 0, m and rij, i, j = 1,…,m are natural numbers, akij : [0,∞) →ℝ are measurable coefficients, and hk ij : [0,∞) →ℝ are measurable delays. The progress was achieved by using a new technique making it possible to replace the constant 1 by the constant 1 + 1/e on the right-hand sides of crucial inequalities ensuring exponential stability.
KW - Bohl–Perron theorem
KW - Estimate of fundamental function
KW - Exponential stability
KW - Linear delayed differential system
UR - http://www.scopus.com/inward/record.url?scp=85011079689&partnerID=8YFLogxK
U2 - 10.14232/ejqtde.2016.8.5
DO - 10.14232/ejqtde.2016.8.5
M3 - Article
AN - SCOPUS:85011079689
SN - 1417-3875
VL - 2016
SP - 1
EP - 18
JO - Electronic Journal of Qualitative Theory of Differential Equations
JF - Electronic Journal of Qualitative Theory of Differential Equations
IS - 5
ER -