AN ALGEBRAIC PROBLEM IN CONTROL THEORY

Abstract

The indeterminacy of the reduction of an arbitrary matrix to Jordan normal form is used to study the Lur'e canonical equations for a linear control system with a single nonlinear actuator. The Lur'e transformation is shown to be essentially a scaling operation applied to an arbitrary transformation which reduces the system to Jordan canonical form. In the case of nonlinear elementary divisors, the proper choice of canonical variables simplifies the calculation of stability conditions.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1963
Accession Number
AD0407981

Entities

People

  • Arthur Wouk

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Actuators
  • Algorithms
  • Computations
  • Construction
  • Contracts
  • Control Systems
  • Control Theory
  • Differential Equations
  • Equations
  • Government Procurement
  • Mathematical Analysis
  • Mathematics
  • Polynomials
  • United States
  • Universities
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Applied Combinatorial Optimization and Logic Circuit Design.
  • Regression Analysis.