In section 2 . 1 , we introduce some of the recent research results about the relationship between the internal stability and external stability . in section 2 . 2 , we state some necessary background , definitions and basic facts about infinite - dimensional linear systems . in section 2 . 3 , we are concerned with the admissibility of the control operator and the observation operator of system ( 1 . 1 ) - ( 1 . 4 ) 第一节我们介绍有关无穷维线性系统内部稳定性与外部稳定性关系的最新成果;第二节我们介绍无穷维线性系统的相关背景、概念,以及其他一些主要成果;在第三节,我们讨论系统( 1 . 1 ) - ( 1 . 4 )的控制算子与观测算子的相容性;在第四节和第五节我们分别讨论系统( 1 . 1 ) - ( 1 . 4 )的外部稳定性与内部稳定性;第六节我们将证明开环系统( 1 . 1 ) - ( 1 . 3 )的精确可观测性。