The Stability of Second Order Quadratic Differential Equations. Part II,

Abstract

This is a sequel to the earlier report on pure quadratic systems and considers the complexities introduced by the addition of a linear term. The diversity of qualitative behavior evinced by such systems has led us to limit this investigation to a specific question - global asymptotic stability. Necessary and sufficient conditions for such stability are derived here taking advantage of the relatively simple structure of the pure quadratic systems discussed. These conditions may find application in such areas of systems theory as adaptive control and bilinear systems. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1978
Accession Number
ADA067813

Entities

People

  • Daniel E. Koditschek
  • Kumpati S. Narendra

Organizations

  • Yale University

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Boundaries
  • Classification
  • Differential Equations
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Information Science
  • Instability
  • Linear Systems
  • Military Research
  • Nonlinear Systems
  • Polynomials
  • Trajectories

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Systems Analysis and Design