INFINITE-DIMENSIONAL LINEAR-SYSTEMS THEORY

被引：4
|
作者：
PRITCHARD, AJ
机构：
来源：
PROCEEDINGS OF THE INSTITUTION OF ELECTRICAL ENGINEERS-LONDON | 1979年 / 126卷 / 06期
关键词：
D O I：
10.1049/piee.1979.0146
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
Some control problems for systems described on infinite-dimensional spaces are considered. A mathematical framework in terms of semigroups is developed which enables the generalization of the finite-dimensional results to infinite dimensions, and which includes partial differential equations and delay equations as special cases. After first surveying some finite-dimensional results, abstract dynamical systems are introduced and the systems theory concepts of stability, controllability, observability and the linear quadratic problem are analyzed. The abstract theory is applied to a number of examples.
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页码：641 / 648
页数：8
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