On Finite-Time Stabilization of Evolution Equations: A Homogeneous Approach

Abstract : Generalized monotone dilation in a Banach space is introduced. Classical theorems on existence and uniqueness of solutions of nonlinear evolution equations are revised. A universal homogeneous feedback control for a finite-time stabilization of linear evolution equation in a Hilbert space is designed using homogeneity concept. The design scheme is demonstrated for distributed finite-time control of heat and wave equations.
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Communication dans un congrès
IEEE Conference on Decision and Control 2016, Dec 2016, Las Vegas, United States
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Soumis le : vendredi 23 septembre 2016 - 19:51:48
Dernière modification le : mercredi 19 octobre 2016 - 16:06:26

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Andrey Polyakov, Jean-Michel Coron, Lionel Rosier. On Finite-Time Stabilization of Evolution Equations: A Homogeneous Approach. IEEE Conference on Decision and Control 2016, Dec 2016, Las Vegas, United States. <hal-01371089>

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