International Journal of applied mathematics and computer science

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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

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.

Lyapunov functional, time delay system, LTI system