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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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https://hal.inria.fr/hal-01371089
Contributor : Andrey Polyakov <>
Submitted on : Friday, September 23, 2016 - 7:51:48 PM
Last modification on : Tuesday, September 29, 2020 - 12:24:10 PM

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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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