数学学科Seminar第2632讲 非自治时滞系统解的稳定性

创建时间:  2024/03/19  龚惠英   浏览次数:   返回

报告题目 (Title):Stability of solutions to nonautonomous time-delay systems (非自治时滞系统解的稳定性)

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

报告地点 (Place):校本部F309

邀请人(Inviter):朱佩成 教授

主办部门:永利数学系

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.

上一条:物理学科Seminar第649讲 稀土与钙钛矿的结合:现实与挑战

下一条:数学学科Seminar第2631讲 关于最高阶导数不可解的偏微分方程


数学学科Seminar第2632讲 非自治时滞系统解的稳定性

创建时间:  2024/03/19  龚惠英   浏览次数:   返回

报告题目 (Title):Stability of solutions to nonautonomous time-delay systems (非自治时滞系统解的稳定性)

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

报告地点 (Place):校本部F309

邀请人(Inviter):朱佩成 教授

主办部门:永利数学系

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.

上一条:物理学科Seminar第649讲 稀土与钙钛矿的结合:现实与挑战

下一条:数学学科Seminar第2631讲 关于最高阶导数不可解的偏微分方程

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