DocumentCode
2630321
Title
A classification of all solutions of the algebraic Riccati equations for infinite-dimensional systems
Author
Time, Orest If ; Curtain, Ruth ; Zwart, Hans
Author_Institution
Inst. of Math., Groningen Univ., Netherlands
Volume
2
fYear
2003
fDate
9-12 Dec. 2003
Firstpage
1836
Abstract
We obtain a complete classification of all self-adjoint solution of the control algebraic Riccati equation for infinite-dimensional systems under the following assumptions: the system is output stabilizable, strongly detectable and the filter Riccati equation has an invertible self-adjoint nonnegative solution.
Keywords
Riccati equations; filters; multidimensional systems; stability; control algebraic Riccati equation; filter Riccati equation; infinite-dimensional systems; invertible self-adjoint nonnegative solution; output stabilization; Control systems; Control theory; Filtering theory; Filters; Hilbert space; Linear systems; Mathematics; Optimal control; Riccati equations; Stability analysis;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
ISSN
0191-2216
Print_ISBN
0-7803-7924-1
Type
conf
DOI
10.1109/CDC.2003.1272880
Filename
1272880
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