<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>The paper presents a method to determine a Lyapunov functional for a linear time-invariant system with an interval time-varying delay. The functional is constructed for the system with a time-varying delay with a given time derivative, which is calculated on the system trajectory. The presented method gives analytical formulas for the coefficients of the Lyapunov functional.</p></abstract>

The paper presents a method to determine a Lyapunov functional for a linear time-invariant system with an interval time-varying delay. The functional is constructed for the system with a time-varying delay with a given time derivative, which is calculated on the system trajectory. The presented method gives analytical formulas for the coefficients of the Lyapunov functional.

A Lyapunov functional for a system with a time-varying delay

Department of Automatics, AGH University of Science and Technology, al. Mickiewicza 30, 30-059 Cracow, Poland

International Journal of Applied Mathematics and Computer Science

{"article-title":"A Lyapunov functional for a system with a time-varying delay"}

The paper presents a method to determine a Lyapunov functional for a linear time-invariant system with an interval time-varying delay. The functional is...

A Lyapunov functional for a system with a time-varying delay

Published Online: Jun 28, 2012

Page range: 327 - 337

DOI: https://doi.org/10.2478/v10006-012-0024-7

Keywords
Lyapunov functional, time delay system, LTI system

This content is open access.

A Lyapunov functional for a system with a time-varying delay

Published Online: Jun 28, 2012

Page range: 327 - 337

DOI: https://doi.org/10.2478/v10006-012-0024-7

KeywordsLyapunov functional, time delay system, LTI system

This content is open access.

Keywords
Lyapunov functional, time delay system, LTI system