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
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;
Conference_Titel :
Decision and Control, 1990., Proceedings of the 29th IEEE Conference on
Conference_Location :
Honolulu, HI
DOI :
10.1109/CDC.1990.204040
