Article Dans Une Revue IEEE Transactions on Automatic Control Année : 2003

On the stability of linear systems with uncertain delay

Résumé

This note focuses on the stability of some class of delay systems, including uncertainty in the delays. More precisely, we are interested in guaranteeing the stability of perturbed delay systems by assuming the stability of the nominal system. If the delay perturbation is constant, necessary and sufficient conditions are derived in terms of generalized eigenvalue distribution of some (finite-dimensional) constant matrix pencil. If the delay perturbation is time-varying, some sufficient stability conditions are derived using "exact" Lyapunov-Krasovskii functionals. Illustrative examples are also included.

Fichier non déposé

Dates et versions

hal-02294774 , version 1 (23-09-2019)

Identifiants

Citer

V.L. Kharitonov, Silviu-Iulian Niculescu. On the stability of linear systems with uncertain delay. IEEE Transactions on Automatic Control, 2003, 48 (1), pp.127-132. ⟨10.1109/TAC.2002.806665⟩. ⟨hal-02294774⟩
74 Consultations
0 Téléchargements

Altmetric

Partager

  • More