»ã±¨±êÌâ (Title)£ºStability of solutions to nonautonomous time-delay systems £¨·Ç×ÔÖÎʱÖÍϵͳ½âµÄ²»±äÐÔ£©

»ã±¨ÈË (Speaker)£º Inessa I. Matveeva ¸±½ÌÊÚ£¨ÐÂÎ÷²®ÀûÑÇ´óѧ,¶íÂÞ˹£©

»ã±¨¹¦·ò (Time)£º2024Äê3ÔÂ20ÈÕ(ÖÜÈý) 16:00

»ã±¨µØÖ· (Place)£ºÐ£±¾²¿F309

Ô¼ÇëÈË(Inviter)£ºÖìÅå³É ½ÌÊÚ

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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.