<abstract xmlns="http://www.w3.org/1999/xhtml"><p>To obtain the transfer equation in dynamic system theory, we need to calculate an inverse matrix. In this work we show both the classic methods and the methods used in automation theory of inverse matrix calculation. However, they are both time consuming and difficult. In the second section, we will show a simpler method. We will define how to create a graph for a given matrix and how to invert it. The matrix for the inverse graph is inverse of the original. We illustrate this method on an example and compare it to a classic solution.</p></abstract>

To obtain the transfer equation in dynamic system theory, we need to calculate an inverse matrix. In this work we show both the classic methods and the methods used in automation theory of inverse matrix calculation. However, they are both time consuming and difficult. In the second section, we will show a simpler method. We will define how to create a graph for a given matrix and how to invert it. The matrix for the inverse graph is inverse of the original. We illustrate this method on an example and compare it to a classic solution.

Inverting Matrix Using a Graph in the Theory of Dynamic Systems

Institute of Applied Informatics, Automation and Mechatronics, Faculty of Materials Science and Technology in Trnava, Slovak University of Technology in Bratislava, Ulica Jána Bottu 2781/25, 917 24 Trnava, Slovak Republic

Institute of Information Engineering, Automation and Mathematics, Faculty of Chemical and Food Technology, Slovak University of Technology in Bratislava, ul. Radlinského 9, 812 37 Bratislava, Slovak Republic

Research Papers Faculty of Materials Science and Technology Slovak University of Technology

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Inverting Matrix Using a Graph in the Theory of Dynamic Systems"}

To obtain the transfer equation in dynamic system theory, we need to calculate an inverse matrix. In this work we show both the classic methods and the methods...

Inverting Matrix Using a Graph in the Theory of Dynamic Systems

Pubblicato online: 04 apr 2017

Pagine: 145 - 150

DOI: https://doi.org/10.1515/rput-2016-0029

Parole chiave
dynamic system, inverse matrix, graph, inverting using graph

© 2016 Renáta Masárová et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Inverting Matrix Using a Graph in the Theory of Dynamic Systems

Pubblicato online: 04 apr 2017

Pagine: 145 - 150

DOI: https://doi.org/10.1515/rput-2016-0029

Parole chiavedynamic system, inverse matrix, graph, inverting using graph

© 2016 Renáta Masárová et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Parole chiave
dynamic system, inverse matrix, graph, inverting using graph