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Article Dans Une Revue Systems and Control Letters Année : 2008

Finite-time stability and stabilization of time-delay systems

Résumé

Finite-time stability and stabilization of retarded-type functional differential equations are developed. First, a theoretical result on finite-time stability inspired by the theory of differential equations, using Lyapunov functionals, is given. As it may appear not easily usable in practice, we show how to obtain finite-time stabilization of linear systems with delays in the input by using an extension of Artstein's model reduction to nonlinear feedback. With this approach, we give an explicit finite-time controller for scalar linear systems and for the chain of integrators with delays in the input.
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inria-00344524 , version 1 (19-02-2021)

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Emmanuel Moulay, Michel Dambrine, Nima Yeganefar, Wilfrid Perruquetti. Finite-time stability and stabilization of time-delay systems. Systems and Control Letters, 2008, 57 (7), pp.561-566. ⟨10.1016/j.sysconle.2007.12.002⟩. ⟨inria-00344524⟩
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