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Paper details
Number 2 - June 2012
Volume 22 - 2012
A Lyapunov functional for a system with a time-varying delay
Józef Duda
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.
Keywords
Lyapunov functional, time delay system, LTI system