DocumentCode
3085900
Title
Some aspects of the continuity of the stationary Riccati equation in Hilbert space
Author
Duncan, T.E. ; Pasik-Duncan, B. ; Chojnowska-Michalik, A.
Author_Institution
Dept. of Math., Kansas Univ., Lawrence, KS, USA
fYear
1990
fDate
5-7 Dec 1990
Firstpage
2321
Abstract
In adaptive control and other problems in control it is important to know that the solution of the stationary Riccati equation for a linear regulator control problem is a continuous function of parameters. Although this result is well known for finite-dimensional linear regulator control problems, it has not been previously verified for infinite-dimensional linear regulator problems in the form that is required for adaptive control. Specifically, it is shown in this study that the symmetric, nonnegative solution of the stationary Riccati equation in Hilbert space is a continuous function of parameters in the uniform operator topology
Keywords
adaptive control; linear systems; topology; Hilbert space; adaptive control; continuity; continuous function; infinite-dimensional linear regulator problems; stationary Riccati equation; symmetric nonnegative solution; Adaptive control; Control systems; Cost function; Hilbert space; Hydrogen; Mathematics; Regulators; Riccati equations; Space stations; Topology;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1990., Proceedings of the 29th IEEE Conference on
Conference_Location
Honolulu, HI
Type
conf
DOI
10.1109/CDC.1990.204040
Filename
204040
Link To Document