报告问题 (Title)：Stability of solutions to nonautonomous time-delay systems （非自治时滞系统解的稳固性）

报告人 (Speaker)： Inessa I. Matveeva 副教授（新西伯利亚大学,俄罗斯）

报告时间 (Time)：2024年3月20日(周三) 16:00

报告所在 (Place)：校本部F309

约请人(Inviter)：朱佩成 教授

主理部分：理学院数学系

报告摘要：

We consider some classes of nonautonomous time-delay systems. We introduce a class of Lyapunov-Krasovskii functionals which allow us to obtain estimates for solutions to these systems on the whole half-line. Using these estimates, we can conclude about stability of these solutions. We establish conditions of exponential stability, obtain estimates for stabilization rates of solutions at infinity and estimates for attraction domains.