Bounds on the growth rate of time-invariant switching max-min-plus-scaling discrete-event systems
A.J.J. Van Den Boom (TU Delft - Team Ton van den Boom)
S. Markkassery (TU Delft - Team Ton van den Boom)
B De Schutter (TU Delft - Delft Center for Systems and Control)
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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.
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