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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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Contributor : Andrey Polyakov Connect in order to contact the contributor
Submitted on : Friday, September 23, 2016 - 7:51:48 PM
Last modification on : Tuesday, December 6, 2022 - 12:42:13 PM


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  • HAL Id : hal-01371089, version 1


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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