Feedback Stabilization of 'Hybrid' Bilinear Systems.

Abstract

This paper considers the problem of stabilizing a control system governed by a combination of partial and ordinary differential equations. The partial differential equations govern the evolution of the system in the interior of some spatial domain, the ordinary differential equations describe the evolution of the boundary data; the control enters through the boundary ordinary differential equations in a bilinear fashion. We provide sufficient conditions for feedback stabilization of such 'hybrid' systems. Two examples to wave equations with dynamic boundary conditions are provided. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1982
Accession Number
ADA116323

Entities

People

  • E. L. Rogers
  • M. Slemrod

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Advanced Electronics

DTIC Thesaurus Topics

  • Air Force
  • Closed Loop Systems
  • Contracts
  • Differential Equations
  • Equations
  • Feedback
  • Governments
  • Hybrid Systems
  • Linear Momentum
  • Mathematical Analysis
  • Mathematics
  • New York
  • Scientific Research
  • Theorems
  • United States
  • United States Government
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Control Systems Engineering.