Bounds on the growth rate of time-invariant switching max-min-plus-scaling discrete-event systems

Journal article (2024)

Authors

A.J.J. van den Boom Team Ton van den Boom - Mechanical, Maritime and Materials Engineering
S. Markkassery Team Ton van den Boom - Mechanical, Maritime and Materials Engineering
B.H.K. Schutter Delft Center for Systems and Control
Research Group
Team Ton van den Boom (Mechanical, Maritime and Materials Engineering) (TU Delft)
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Published Date

2024

Language

English

Faculty

Mechanical, Maritime and Materials Engineering

Department

Delft Center for Systems and Control

Research Group

Team Ton van den Boom

Abstract

We consider the growth rate of a switching max-min-plus-scaling (S-MMPS) system in a discrete-event framework. We show that an explicit, time-invariant, monotone, and arbitrarily switching MMPS system has a bounded growth rate. Further, we propose a mixed-integer linear programming problem to calculate the estimates of the smallest upper bound and the largest lower bound of the growth rate of an S-MMPS system.