18th International Conference on Process Control

Transfer Matrix and Its Jacobson Form for Nonlinear Systems on Time Scales: Mathematica Implementation

J. Belikov, Ü. Kotta, A. Leibak
Tallinn University of Technology

Abstract

This paper suggests a detailed algorithm for computation of the Jacobson form of the polynomial matrix associated with the transfer matrix describing the multi-input multi-output nonlinear control system, defined on homogeneous time scale. The algorithm relies on the theory of skew polynomial rings.

Full paper

019.pdf

Session

Algebraic Methods in Control (Invited) (Lecture)

Reference

Belikov, J.; Kotta, Ü.; Leibak, A.: Transfer Matrix and Its Jacobson Form for Nonlinear Systems on Time Scales: Mathematica Implementation. Editors: Fikar, M. and Kvasnica, M., In Proceedings of the 18th International Conference on Process Control, Tatranská Lomnica, Slovakia, June 14 – 17, 141–146, 2011.

BibTeX
@inProceedings{pc2011-019,
author = {Belikov, J. and Kotta, \"U. and Leibak, A.},
title = {Transfer Matrix and Its Jacobson Form for Nonlinear Systems on Time Scales: Mathematica Implementation},
booktitle = {Proceedings of the 18th International Conference on Process Control},
year = {2011},
pages = {141-146},
editor = {Fikar, M. and Kvasnica, M.},
address = {Tatransk\'a Lomnica, Slovakia},
publisher = {Slovak University of Technology in Bratislava},
url = {http://www.kirp.chtf.stuba.sk/pc11/data/papers/019.pdf}}
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