Reference
S. Markkassery, T. van den Boom, and B. De Schutter, "Eigenvalues of
time-invariant max-min-plus-scaling discrete-event systems,"
Proceedings of the 2024 European Control Conference,
Stockholm, Sweden, pp. 2017-2022, June 2024.
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.
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BibTeX
@inproceedings{Marvan:24-017,
author = {Markkassery, Sreeshma and van den Boom, Ton and De Schutter,
Bart},
title = {Eigenvalues of Time-invariant Max-Min-Plus-Scaling
Discrete-Event Systems},
booktitle = {Proceedings of the 2024 European Control Conference},
address = {Stockholm, Sweden},
pages = {2017--2022},
month = jun,
year = {2024}
}