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

Duda, J.

International Journal of Applied Mathematics and Computer Science, Tome 22 (2012) no. 2, pp. 327-337.

Résumé

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.

Détail

Keywords: Lyapunov functional, time delay system, LTI system
Mots-clés : funkcjonał Lapunowa, system opóźniania

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