报告人：陈建华 教授（湖南科技大学）

时间：2024年11月15日 15:00-

地点: 理科楼LA103

摘要：We study observability and controllability of first order diagonalizable Cauchy systems in the setting of Hilbert space. By diagonalizable system we mean that the system generator is diagonalizable, that is, the resolvent set of the generator is nonempty and there exists a Riesz basis consisting of eigenvectors of the generator. A new type of infinite-time admissibility and infinite-time exact observability has been proposed which reduces to the usual ones when the output space is one-dimensional. Sufficient spectral conditions for infinite-time exact observability are established in terms of the Blaschke condition and Carleson condition of the system generator eigenvalues.This is done by using a Riesz basis characterization of a model space, a subspace of the Hardy space on the right half plane. The exact controllability of the control system is then investigated via a duality argument. An illustrative example is given.

邀请人: 数学研究中心

欢迎广大师生积极参与！