Lyapunov Functions for Quadratic Differential Equations with Applications to Adaptive Control.

Abstract

Conditions are derived for the existence of quadratic Lyapunov functions for vector differential equations with quadratic terms. These conditions are used to establish a set of nonlinear equations for which the null solution is asymptotically stable in the whole. Many of the recent results in the stability of Model Reference Adaptive Systems are particular cases of these general conditions. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1971
Accession Number
AD0735482

Entities

People

  • Gerd Lueders
  • Kumpati S. Narendra

Organizations

  • Yale University

Tags

DTIC Thesaurus Topics

  • Adaptive Systems
  • Control Theory
  • Differential Equations
  • Equations
  • Linear Differential Equations
  • Lyapunov Functions
  • Mathematical Analysis
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.