Accession Number:

AD0735482

Title:

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

Descriptive Note:

Technical rept.,

Corporate Author:

YALE UNIV NEW HAVEN CONN BECTON CENTER

Personal Author(s):

• Lueders,Gerd
• Narendra,Kumpati S.

Report Date:

1971-12-01

Pagination or Media Count:

15.0

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

Descriptors:

• *ADAPTIVE CONTROL SYSTEMS
• ALGEBRA
• MATRICES(MATHEMATICS)
• STABILITY
• ASYMPTOTIC SERIES
• NONLINEAR SYSTEMS

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE