Ensemble reachability of homogenous parameter‐depedent systems

Please always quote using this URN: urn:nbn:de:bvb:20-opus-257637
  • In this paper we consider the class (θA, B) of parameter-dependent linear systems given by matrices A ∈ ℂ\(^{nxn}\) and B ∈ ℂ\(^{nxm}\). This class is of interest for several applications and the frequently met task for such systems is to steer the origin toward a given target family f(θ) by using an input that is independent from the parameter. This paper provides a collection of necessary and sufficient conditions for ensemble reachability for these systems.

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Author: Michael SchönleinORCiD
Document Type:Journal article
Faculties:Fakultät für Mathematik und Informatik / Institut für Mathematik
Parent Title (English):Proceedings in Applied Mathematics and Mechanics
Year of Completion:2020
Article Number:e202000342
Source:Proceedings in Applied Mathematics and Mechanics 2020, 20(1):e202000342. DOI: 10.1002/pamm.202000342
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Tag:ensemble reachability; homogenous parameter-depedent systems; mathematics
Release Date:2022/03/23
Licence (German):License LogoCC BY: Creative-Commons-Lizenz: Namensnennung 4.0 International