Global stabilization of oscillators with bounded delayed input

Frédéric Mazenc (1) , Sabine Mondié (2) , Silviu-Iulian Niculescu (3)

1 CRISAM - Inria Sophia Antipolis - Méditerranée
2 CINVESTAV-IPN - Departamento de Control Automático
3 Heudiasyc - Heuristique et Diagnostic des Systèmes Complexes [Compiègne]

The problem of globally asymptotically stabilizing by bounded feedback of an oscillator with an arbitrary large delay in the input is solved. A first solution follows from a general result on the global stabilization of null controllable linear systems with delay in the input by bounded control laws with a distributed term. Next, it is shown through a Lyapunov analysis that the stabilization can be achieved as well when neglecting the distributed terms. It turns out that this main result is intimately related to the output feedback stabilization problem. © 2004 Elsevier B.V. All rights reserved.

Mots clés: Delay; Global stability; Oscillator; Razumikhin theorem

Domaines: Automatique / Robotique

Frédéric Mazenc, Sabine Mondié, Silviu-Iulian Niculescu. Global stabilization of oscillators with bounded delayed input. Systems and Control Letters, 2004, 53 (5), pp.415-422. ⟨10.1016/j.sysconle.2004.05.018⟩. ⟨hal-02294304⟩