Exploring Noncommutative Polynomial Equation Methods for Discrete-Time Quaternionic Control

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F25%3A00383690" target="_blank" >RIV/68407700:21230/25:00383690 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1109/MED64031.2025.11073531" target="_blank" >http://dx.doi.org/10.1109/MED64031.2025.11073531</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/MED64031.2025.11073531" target="_blank" >10.1109/MED64031.2025.11073531</a>

Result language
angličtina
Original language name
Exploring Noncommutative Polynomial Equation Methods for Discrete-Time Quaternionic Control
Original language description
We present new polynomial-based methods for SISO discrete-time quaternionic systems, highlighting how noncommutative multiplication modifies classical control approaches. Defining quaternionic polynomials via a backward-shift operator, we examine left and right fraction representations of transfer functions, showing that right zeros correspond to similarity classes of quaternionic matrix right eigenvalues. We then propose a feedback design procedure that generalizes pole placement to quaternions—a first approach using a genuine quaternionic polynomial equation. An illustrative example demonstrates its effectiveness.
Czech name
—
Czech description
—

Project
<a href="/en/project/EH22_008%2F0004590" target="_blank" >EH22_008/0004590: Robotics and advanced industrial production</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
The 33rd Mediterranean Conference on Control and Automation
ISBN
979-8-3315-7719-3
ISSN
2325-369X
e-ISSN
2473-3504
Number of pages
5
Pages from-to
317-321
Publisher name
IEEE
Place of publication
Piscataway
Event location
Tangier
Event date
Jun 10, 2025
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
001556094800054

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