Filtering and Control Problems for Partial Differential Equations.

Abstract

This paper solves the linear quadratic regulator problem for boundary control of partial differential equations using semigroup theoretic methods. The characteristic feature of this problem is that one has to allow for the operator involving the input to be unbounded, and in the corresponding dual filtering problem, the observation operator (normal derivative on the boundary) had to be unbounded and unclosed. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1976
Accession Number
ADA032674

Entities

People

  • A.V. Balakrishnan

Organizations

  • University of California, Los Angeles

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Control Theory
  • Differential Equations
  • Equations
  • Equations Of State
  • Filtration
  • Gaussian Noise
  • Noise
  • Observation
  • Partial Differential Equations
  • Random Variables
  • Riccati Equation
  • Scientific Research
  • White Noise

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis