Local Bifurcation Control,

Abstract

Local feedback stabilization of bifurcated solution branches is studied. Two cases are considered: that in which the nominal system undergoes a Hopf bifurcation as a parameter is varied, and the case of a stationary bifurcation from a simple zero eigenvalue. For each case, results on the existence of a stabilizing feedback are given, Moreover, simple synthesis techniques for the stabilizing controllers are discussed. A concept of proximity stabilization is introduced as an alternative to stabilization in the ordinary sense for systems that are not locally stabilizable. A result is stated on the genericity of proximity stabilizability. Motivation for further research in several areas is given. Keywords: Control systems; Electrical engineering.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1987
Accession Number
ADA187435

Entities

People

  • Eyad H. Abed

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Biomedical
  • Space

DTIC Thesaurus Topics

  • Applied Mathematics
  • Civil Engineering
  • Complex Variables
  • Computational Science
  • Control Systems
  • Differential Equations
  • Electrical Engineering
  • Engineers
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Mechanics
  • Nonlinear Dynamics
  • Nonlinear Systems
  • Systems Engineering
  • Theorems
  • Three Dimensional

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Systems Analysis and Design