The linear quadratic optimal control problem for infinite dimensional systems over an infinite horizon - Survey and examplesAvailable published results are surveyed for a special class of infinite-dimensional control systems whose evolution is characterized by a semigroup of operators of class C subscript zero. Emphasis is placed on an approach that clarifies the system-theoretic relationship among controllability, stabilizability, stability, and the existence of a solution to an associated operator equation of the Riccati type. Formulation of the optimal control problem is reviewed along with the asymptotic behavior of solutions to a general system of equations and several theorems concerning L2 stability. Examples are briefly discussed which involve second-order parabolic systems, first-order hyperbolic systems, and distributed boundary control.
Document ID
19770055109
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
Bensoussan, A. (Institut de Recherche d'Informatique et d'Automatique Rocquencourt, Yvelines, France)
Delfour, M. C. (Montreal, Universite Montreal, Canada)
Mitter, S. K. (MIT Cambridge, Mass., United States)
Date Acquired
August 9, 2013
Publication Date
January 1, 1976
Subject Category
Cybernetics
Meeting Information
Meeting: Conference on Decision and Control and Symposium on Adoptive Processes