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Multilevel control by duality

Submission Status:under review
  • We discuss the multilevel control problem for linear dynamical systems, consisting in designing a piece-wise constant control function taking values in a finite-dimensional set. In particular, we provide a complete characterization of multilevel controls through a duality approach, based on the minimization of a suitable cost functional. In this manner we build optimal multi-level controls and characterize the time needed for a given ensemble of levels to assure the controllability of the system. Moreover, this method leads to efficient numerical algorithms for computing multilevel controls.

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Metadaten
Author:U Biccari, E Zuazua
Document Type:Preprint
Language:English
Date of Publication (online):2021/09/17
Date of first Publication:2021/10/08
Release Date:2021/10/08
Institutes:Friedrich-Alexander-Universität Erlangen-Nürnberg
Subprojects:C03
C05
Licence (German):License LogoCreative Commons - CC BY-SA - Namensnennung - Weitergabe unter gleichen Bedingungen 4.0 International