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Communication Dans Un Congrès Année : 2005

Lyapunov-based approach for finite time stability and stabilization

Emmanuel Moulay
W. Perruquetti

Résumé

Finite time stability is investigated for continuous system ẋ = f (x) which satisfies uniqueness of solutions in forward time. A necessary and sufficient condition is given for this class of systems using Lyapunov functions. Then, a necessary and sufficient condition is developed for finite time stabilization of class CLk−affine systems involving a class CL0−settling time for the closed-loop system. Finally an explicit feedback control is given using a control Lyapunov function verifying a certain inequality.

Domaines

Automatique
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Dates et versions

hal-03144982 , version 1 (18-02-2021)

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Citer

Emmanuel Moulay, W. Perruquetti. Lyapunov-based approach for finite time stability and stabilization. 44th IEEE Conference on Decision and Control, 2005, Seville, Spain. pp.4742-4747, ⟨10.1109/CDC.2005.1582911⟩. ⟨hal-03144982⟩
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