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.
Author: | Michael SchönleinORCiD |
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URN: | urn:nbn:de:bvb:20-opus-257637 |
Document Type: | Journal article |
Faculties: | Fakultät für Mathematik und Informatik / Institut für Mathematik |
Language: | English |
Parent Title (English): | Proceedings in Applied Mathematics and Mechanics |
Year of Completion: | 2020 |
Volume: | 20 |
Issue: | 1 |
Article Number: | e202000342 |
Source: | Proceedings in Applied Mathematics and Mechanics 2020, 20(1):e202000342. DOI: 10.1002/pamm.202000342 |
DOI: | https://doi.org/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): | CC BY: Creative-Commons-Lizenz: Namensnennung 4.0 International |