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 |
|---|---|
| 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 |