Title :
A representation of all bounded self-adjoint solutions of the algebraic Riccati equation for systems with an unbounded observation operator
Author :
Opmeer, Mark R. ; Iftime, Orest V.
Author_Institution :
Dept. of Math., Groningen Univ., Netherlands
Abstract :
In this paper a representation of all bounded self-adjoint solutions of the control algebraic Riccati equation associated to the infinite-dimensional well-posed linear system Σ(A,B,C) with an unbounded observation operator is obtained. The assumptions imposed on the systems are: A generates a C0-group, the system is output stabilizable, strongly detectable and the dual Riccati equation has an invertible bounded nonnegative solution.
Keywords :
Riccati equations; linear systems; optimal control; bounded self-adjoint solutions; control algebraic Riccati equation; unbounded observation operator; well-posed linear system; Control systems; Control theory; Filtering; Linear systems; Mathematics; Nonlinear filters; Optimal control; Optimized production technology; Riccati equations; Stability analysis;
Conference_Titel :
Decision and Control, 2004. CDC. 43rd IEEE Conference on
Print_ISBN :
0-7803-8682-5
DOI :
10.1109/CDC.2004.1428899