Conference on Ordinary and Partial Differential Equations, 29 March to 2 April 1982.

Abstract

In this paper, we consider the asymptotic stability for equations via the Lyapunov-Razumikhin approach. For the case when Tau = 0, a Lyapunov function is constructed and conditions which reduce to the generalized Routh-Hurwitz criteria for uniform asymptotic stability are obtained. The constructed Lyapunov function is also converted to a Lyapunov functional. This functional is used to give necessary conditions on a, b and h for which equation (*) is asymptotically stable. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Apr 02, 1982
Accession Number
ADA122863

Entities

Organizations

  • University of Dundee

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms
  • Autonomy
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Banach Space
  • Boundary Value Problems
  • Cauchy Problem
  • Differential Equations
  • Dirac Equation
  • Eigenvalues
  • Formulas (Mathematics)
  • Hilbert Space
  • Integral Equations
  • Integrals
  • Linear Differential Equations
  • Lyapunov Functions
  • Nonlinear Differential Equations
  • Numbers
  • Partial Differential Equations
  • Real Numbers
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Control Systems Engineering.