CONTROLLABILITY AND OBSERVABILITY FOR INFINITE-DIMENSIONAL SYSTEMS*

CONTROLLABILITY AND OBSERVABILITY FOR INFINITE-DIMENSIONAL SYSTEMS*
复制标题

无维系统的可控性和可观测性*

DOI：
--
复制
发表时间：
1972
期刊：
影响因子：
--
通讯作者：
S. Mitter
S. Mitter
中科院分区：
--
文献类型：
--
作者：
M. Delfour;S. Mitter

文献摘要

被引文献

相似文献

本文系统地研究了定义在Hilbert空间中的仿射抽象系统的能控性和能观性的概念，其初始数据、控制和观测也属于Hilbert空间。在此框架下，得到了充分必要条件，并研究了对偶性质。这一理论可以应用于抛物型偏微分方程的“边界能控性”和“边界能观性”的研究。对于在M^2 $-空间框架中定义的仿射遗传微分系统，已经得到了具体的结果（参见：[1]，[2]，[5]）。
This paper systematically studies the notions of controllability and observability for an affine abstract system defined in a Hilbert space with initial data, controls and observations also belonging to Hilbert spaces. Necessary and sufficient conditions are obtained in that framework and the duality property is studied. This theory can find applications in the study of “boundary controllability” and “boundary observability” for parabolic partial differential equations. Specific results have been obtained for affine hereditary differential systems defined in the $M^2 $-space framework (cf. Delfour and Mitter [1], [2], [5]).