ON THE EXISTENCE OF LYAPUNOV FUNCTIONS IN THE CASE OF ASYMPTOTIC STABILITY IN THE LARGE

Abstract

Definitions on stability are given among which is included a detailed definition of stability in the large of two systems with time delay. Two theorems are stated with detailed proofs for solution of these systems. From the proof of theorem two, the question of the stability of a system of equations with respect to time delays is similar to the problem of the stability of motion for continuously operative disturbances.

Document Details

Document Type
Technical Report
Publication Date
May 01, 1961
Accession Number
AD0264150

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
  • Real Variables

Fields of Study

  • Mathematics

Readers

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