Accession Number : ADA139333

Title :   The Linear Quadratic Optimal Control Problem for Infinite Dimensional Systems with Unbounded Input and Output Operators.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Pritchard,A J ; Salamon,D

PDF Url : ADA139333

Report Date : Jan 1984

Pagination or Media Count : 105

Abstract : Part I of this paper deals with the problem of designing a feedback control for a linear infinite dimensional system in such a way that a given quadratic cost functional is minimized. The essential feature of this work is that: (a) it allows for unbounded control and observation, i.e. boundary control, point observation, input/output delays; and (b) the general theory is presented in such a way that it applies to both parabolic and hyperbolic partial differential equations as well as retarded and neutral functional differential equations. Part II develops a state space approach for retarded systems with delays in both input and output. A particular emphasis is placed on the development of the duality theory by means of two different state concepts. The resulting evolution equations fit into the framework of Part I. (Author)

Descriptors :   *Control theory, *Linear systems, Operators(Mathematics), Linear differential equations, Partial differential equations, Optimization, Feedback, Observation, Boundaries, Retardation, Riccati equation

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE