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无穷维系统理论的发展
引用本文:郑应文.无穷维系统理论的发展[J].福州大学学报(自然科学版),1993(5):106-110.
作者姓名:郑应文
作者单位:福州大学自动化所 福州,350002
摘    要:阐述了无穷维系统在可控可观性、稳定性、最优控制、滤波与随机控制等几个基本问题上的主要成果.介绍了精确能控性与稳定化,参数辨识的唯一性问题,无穷维算子奇异值与广义逆,有限逼近等几个新的专题,讨论了无穷维系统理论的发展动向与应用前景.

关 键 词:无穷维系统  控制理论  线性算子

Development of Infinite Dimensional System Theory
Zheng Yingwen.Development of Infinite Dimensional System Theory[J].Journal of Fuzhou University(Natural Science Edition),1993(5):106-110.
Authors:Zheng Yingwen
Institution:Zheng Yingwen (Institute of Automation, Fuzhou University, Fuzhou, 350002)
Abstract:In this paper the fundamental results of infinite dimensional systems are presented, including controllability, observabi1ity, stabi1ity, optimal control, filter and stochastic contol. Some new issues are developed and they are: exact controllability, stabili- zation, uniqueness of parameter identification, signal values and generalised inverses of the infinite dimensional operators, and the finite approximation, And also some new trends and applications of the theory of the infinite dimensional systems are discussed.
Keywords:infinite-dimensional system  control theory  linear operator
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