»ã±¨±êÌâ (Title)£ºNew Matrix bounds for the Lyapunov Matrix Differential Equation and their Application (Lyapunov¾ØÕó΢·Ö·½³ÌеľØÕó½ç¼°ÆäÀûÓÃ)

»ã±¨ÈË (Speaker)£ºÁõ½¨ÖÝ ½ÌÊÚ£¨Ïæ̶´óѧ£©

»ã±¨¹¦·ò (Time)£º2024Äê12ÔÂ15ÈÕ (ÖÜÈÕ) 9:00-10:00

»ã±¨µØÖ· (Place)£ºÐ£±¾²¿GJ303

Ô¼ÇëÈË(Inviter)£ºÍõÇäÎÄ

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»ã±¨ÌáÒª£º In control systems, the study of controllability, observability, and stability can often be transformed into the estimation of the matrix bounds for the Lyapunov matrix differential equation. In this talk, by using the identity transformation of the Lyapunov matrix differential equation and some important eigenvalues inequalities, then some new matrix bounds for the Lyapunov matrix differential equation will be presented. At last, we give some corresponding numerical examples to illustrate the effectiveness and superiority of our results. As an application in linear systems, we show that our derived matrix bounds can be used to discuss the input-output finite-time stability for linear systems.