Title :
Parameterization for Riccati inequalities in Hilbert spaces
Author :
Carpanese, Nevio
Author_Institution :
Dipt. di Ingegneria dell´´Inf., Padova Univ., Italy
Abstract :
In this paper time-varying differential Riccati inequalities are considered and parameterization of strong solutions is obtained. Weak solutions arising in the unbounded case are also considered. A reformulation in operatorial terms on the underlying Hilbert space is used for both cases.
Keywords :
H∞ control; Hilbert spaces; Riccati equations; linear matrix inequalities; mathematical operators; time-varying systems; Hilbert spaces; parameterization; strong solutions; time varying differential Riccati inequalities; time-varying control; unbounded case; weak solutions; Differential equations; Filtering; Hilbert space; Linear matrix inequalities; Linear systems; Nonlinear filters; Riccati equations; Symmetric matrices; Time varying systems;
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
Print_ISBN :
0-7803-7924-1
DOI :
10.1109/CDC.2003.1272408
