Stability of Solutions of Delay Differential Equations

被引：0
作者：
Yskak T. [1 ,2 ]
机构：
[1] Sobolev Institute of Mathematics, Novosibirsk
[2] Novosibirsk State University, Novosibirsk
来源：
Siberian Advances in Mathematics | 2023年 / 33卷 / 3期
关键词：
linear differential equations with distributed delay; Lyapunov–Krasovskii functional; periodic coefficients; stability;
D O I：
10.1134/S1055134423030094
中图分类号：
学科分类号：
摘要：
Abstract: In the present article, we consider a class of systems of linear differential equations withinfinite distributed delay and periodic coefficients. We use the Lyapunov–Krasovskiĭfunctional and obtain sufficient conditions for exponential stability of the zero solution, findconditions on perturbation of the coefficients of the system that guarantee preservation ofexponential stability, and establish estimates for the norms of solutions of the initial andperturbed systems that characterize exponential decay at infinity. © 2023, Pleiades Publishing, Ltd.
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页码：253 / 260
页数：7
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