Computation of open-loop inputs for uniformly ensemble controllable systems

Michael Schönlein

doi:10.3934/mcrf.2021046

Article Contents

2022, Volume 12, Issue 3: 813-829. Doi: 10.3934/mcrf.2021046

This issue Previous Article A nonlinear version of Halanay's inequality for the uniform convergence to the origin Next Article Controllability to rest of the Gurtin-Pipkin model

Computation of open-loop inputs for uniformly ensemble controllable systems

Michael Schönlein

Institute for Mathematics, University of Würzburg, 97074 Würzburg, Germany

This article was recruited by Birgit Jacob

Received: August 31, 2019

Revised: July 31, 2020

Early access: September 2021

Published: July 2022

The author is supported by the DFG grant SCHO 1780/1-1

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This paper presents computational methods for families of linear systems depending on a parameter. Such a family is called ensemble controllable if for any family of parameter-dependent target states and any neighborhood of it there is a parameter-independent input steering the origin into the neighborhood. Assuming that a family of systems is ensemble controllable we present methods to construct suitable open-loop input functions. Our approach to solve this infinite-dimensional task is based on a combination of methods from the theory of linear integral equations and finite-dimensional control theory.

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Mathematics Subject Classification: Primary: 45A05, 93B05, 93B40.

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