TY - JOUR
T1 - On the Stability of Systems of Linear Differential Equations of Neutral Type with Distributed Delay
AU - Yskak, T.
PY - 2019/7/1
Y1 - 2019/7/1
N2 - We consider one class of systems of nonautonomous linear differential equations of neutral type with distributed delay. We obtain sufficient conditions for the exponential stability of the zero solution and conditions on perturbations of the coefficients under which the exponential stability of the zero solution is preserved. Using a Lyapunov—Kjasovskiĭ functional of a special kind, we prove some estimates that characterize the exponential decay of solutions at infinity.
AB - We consider one class of systems of nonautonomous linear differential equations of neutral type with distributed delay. We obtain sufficient conditions for the exponential stability of the zero solution and conditions on perturbations of the coefficients under which the exponential stability of the zero solution is preserved. Using a Lyapunov—Kjasovskiĭ functional of a special kind, we prove some estimates that characterize the exponential decay of solutions at infinity.
KW - distributed delay
KW - exponential stability
KW - Lyapunov-Krasovskiĭ functional
KW - periodic coefficients
KW - system of neutral type
UR - http://www.scopus.com/inward/record.url?scp=85071458400&partnerID=8YFLogxK
U2 - 10.1134/S1990478919030177
DO - 10.1134/S1990478919030177
M3 - Article
AN - SCOPUS:85071458400
VL - 13
SP - 575
EP - 583
JO - Journal of Applied and Industrial Mathematics
JF - Journal of Applied and Industrial Mathematics
SN - 1990-4789
IS - 3
ER -