A Lyapunov functional for a system with a time-varying delay
| 28. Juni 2012
International Journal of Applied Mathematics and Computer Science
Analysis and Control of Spatiotemporal Dynamic Systems (special section, pp. 245 - 326), Dariusz Uciński and Józef Korbicz (Eds.)
Über diesen Artikel
Online veröffentlicht: 28. Juni 2012
Seitenbereich: 327 - 337
DOI: https://doi.org/10.2478/v10006-012-0024-7
Schlüsselwörter
This content is open access.
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.