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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.

Uniform Stability In Nonlinear Infinite Delay Volterra Integro-differential Equations Using Lyapunov Functionals

75%

Raffoul Y., Rai H.

Nonautonomous Dynamical Systems

2016

tom 3

nr 1

14-23

In [10] the first author used Lyapunov functionals and studied the exponential stability of the zero solution of finite delay Volterra Integro-differential equation. In this paper, we use modified version of the Lyapunov functional that were used in [10] to obtain criterion for the stability of the zero solution of the infinite delay nonlinear Volterra integro-differential equation [...]

Ograniczanie wyników

1 International Journal of Applied Mathematics and Computer Science

1 Nonautonomous Dynamical Systems

1 Duda J.

1 Raffoul Y.

1 Rai H.

1 2016

1 2012

Wyniki wyszukiwania

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

Uniform Stability In Nonlinear Infinite Delay Volterra Integro-differential Equations Using Lyapunov Functionals