Title :
Remarks on the infinite dimensional Riccati equation
Author :
Falb, P.L. ; Kleinman, D.L.
Author_Institution :
Massachusetts Institute of Technology, Cambridge, MA, USA
fDate :
7/1/1966 12:00:00 AM
Abstract :
A detailed proof is presented in this paper for the existence and uniqueness theorem of the Riccati equation which arises in the solution of optimal linear regulator problems involving infinite dimensional (Hilbert space) systems. The key role played by the Riccati equation in such infinite dimensional regulator problems is also indicated.
Keywords :
Linear systems, time-varying continuous-time; Riccati equations; Control systems; Distortion measurement; Hilbert space; Laboratories; Linear systems; Optimal control; Regulators; Riccati equations; Space technology; Variable speed drives;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1966.1098386
