Infinite Dimensional Linear Systems with Unbounded Control and Observation: A Functional Analytic Approach.

Abstract

The object of these notes is to develop a unifying framework for the functional analytic representation of infinite dimensional linear systems with unbounded input and output operators. On the basis of the general approach new results are derived on the wellposedness of feedback systems and on the linear quadratic control problem. The implications of the theory for large classes of functional and partial differential equations are discussed in detail. Keywords: Representation of infinite dimensional systems, semigroups, boundary control, feedback, linear quadratic control.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1985
Accession Number
ADA153535

Entities

People

  • D. Salamon

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Abstracts
  • Boundaries
  • Boundary Value Problems
  • Cauchy Problem
  • Closed Loop Systems
  • Control Systems
  • Difference Equations
  • Differential Equations
  • Equations
  • Feedback
  • Hilbert Space
  • Linear Systems
  • Mathematics
  • New York
  • Partial Differential Equations
  • United States
  • Wave Equations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Mathematical Modeling and Probability Theory.