Kybernetika 57 no. 1, 141-159, 2021

Stability of perturbed delay homogeneous systems depending on a parameter

Ines Ben Rzig and Thouraya KharratDOI: 10.14736/kyb-2021-1-0141

Abstract:

In this paper, we analyze the stability of homogeneous delay systems based on the Lyapunov Razumikhin function in the presence of a varying parameter. In addition, we show the stability of perturbed time delay systems when the nominal part is homogeneous.

Keywords:

stability, nonlinear homogeneous system, varying delay, Lyapunov Razumikhin function

Classification:

34D20

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