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
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;
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
Print_ISBN :
0-7803-7924-1
DOI :
10.1109/CDC.2003.1272880
