Reference:
S. Markkassery,
T. van den Boom, and
B. De Schutter,
"Stability of time-invariant max-min-plus-scaling discrete-event
systems with diverse states," Proceedings of the 17th IFAC
Workshop on Discrete Event Systems (WODES 2024), Rio de Janeiro,
Brazil, pp. 60-65, Apr.-May 2024.
Abstract:
In this paper, we discuss the stability of general time-invariant
discrete-event systems modeled as max-min-plus-scaling (MMPS) systems.
We analyze MMPS systems with two types of states: time states and
quantity states. A set of linear programming problems are proposed to
find the growth rates of the time states via a normalization of the
MMPS system. Then a framework for stability analysis of the general
time-invariant MMPS system is discussed with respect to the normalized
system. The approach presented in this paper is an efficient way to
study the stability of a general MMPS system.
Bibtex entry:
@inproceedings{Marvan:24-013,