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

100%

Duda J.

International Journal of Applied Mathematics and Computer Science

2012

tom 22

nr 2

327-337

The paper presents a method to determine a Lyapunov functional for a linear time-invariant system with an interval timevarying 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.

Delay-dependent asymptotic stabilitzation for uncertain time-delay systems with saturating actuators

100%

Liu P.-L.

International Journal of Applied Mathematics and Computer Science

2005

tom 15

nr 1

45-51

This paper concerns the issue of robust asymptotic stabilization for uncertain time-delay systems with saturating actuators. Delay-dependent criteria for robust stabilization via linear memoryless state feedback have been obtained. The resulting upper bound on the delay time is given in terms of the solution to a Riccati equation subject to model transformation. Finally, examples are presented to show the effectiveness of our result.

Ograniczanie wyników

2 International Journal of Applied Mathematics and Computer Science

1 Duda J.

1 Liu P.-L.

1 2012

1 2005

Wyniki wyszukiwania

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

Delay-dependent asymptotic stabilitzation for uncertain time-delay systems with saturating actuators