ON STABILITY OF MOTION IN THE LARGE

Abstract

The authors investigate stability-in-the-large of the null solution of differential equations by use of Lyapunov functions. Five theorems are advanced which state various conditions a Lyapunov function must satisfy for the null solution of the above system to be stable-in-thelarge. The discussion is enhanced by two illustrative examples. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1961
Accession Number
AD0271450

Entities

People

  • E.a. Barbashin
  • N.n. Krasovskii

Organizations

  • TRW Inc.

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Linear Differential Equations
  • Lyapunov Functions
  • Mathematical Analysis
  • Mathematics
  • Nonlinear Differential Equations

Fields of Study

  • Mathematics

Readers

  • Computational Modeling and Simulation
  • Control Systems Engineering.