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Conference Papers Year : 2016

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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Dates and versions

hal-01371089 , version 1 (23-09-2016)

Identifiers

  • HAL Id : hal-01371089 , version 1

Cite

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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