Abstract
This paper proposes an approach to find the eigenvalues and eigenvectors of a class of autonomous max-min-plus-scaling (MMPS) systems. First we show that time invariant, monotone and non-expansive MMPS systems with only time variables has a unique structural eigenvalue and eigenvector under some conditions. Then, we propose a mixed integer linear programming (MILP) algorithm to calculate the eigenvalue and the corresponding eigenvector for such systems. Finally, we present a modified linear programming (LP) algorithm to find all the eigenvalues of a general time invariant MMPS system.
| Original language | English |
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| Title of host publication | Proceedings of the European Control Conference, ECC 2024 |
| Publisher | IEEE |
| Pages | 2017-2022 |
| Number of pages | 6 |
| ISBN (Electronic) | 978-3-9071-4410-7 |
| DOIs | |
| Publication status | Published - 2024 |
| Event | 2024 European Control Conference, ECC 2024 - Stockholm, Sweden Duration: 25 Jun 2024 → 28 Jun 2024 |
Conference
| Conference | 2024 European Control Conference, ECC 2024 |
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| Country/Territory | Sweden |
| City | Stockholm |
| Period | 25/06/24 → 28/06/24 |
Bibliographical note
Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-careOtherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.