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

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)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1984
Accession Number
ADA139333

Entities

People

  • A. J. Pritchard
  • D. Salamon

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Energy and Power Technologies
  • Sensors

DTIC Thesaurus Topics

  • Boundaries
  • Cauchy Problem
  • Closed Loop Systems
  • Control Systems
  • Control Theory
  • Differential Equations
  • Equations
  • Feedback
  • Hilbert Space
  • Integral Equations
  • Mathematics
  • Observation
  • Partial Differential Equations
  • Personal Information Managers
  • Riccati Equation
  • United States
  • Universities

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Fluid Dynamics.
  • Mathematical Modeling and Probability Theory.

Technology Areas

  • Space
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