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

Józef Duda

doi:10.2478/v10006-012-0024-7

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

International Journal of Applied Mathematics and Computer Science

Volume 22 (2012): Issue 2 (June 2012)

By: Józef Duda

Open Access

|Jun 2012

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.

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