Accession Number:

ADA053802

Title:

On the Structure of a Liapunov Functional for a Difference-Differential Equation with One Delay,

Descriptive Note:

Corporate Author:

BROWN UNIV PROVIDENCE R I LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS

Personal Author(s):

Report Date:

1978-04-01

Pagination or Media Count:

19.0

Abstract:

A quadratic positive definite Liapunov functional that yields necessary and sufficient conditions for the asymptotic stability of the solutions of the matrix difference-differential equation dxtdt Axt Bxt-tau is constructed and its structure is analyzed. The method of construction is a natural generalization of the same problem for an ordinary differential equation, and this relationship is emphasized. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE