Computing Growth Rates of Periodic Max-Min-Plus-Scaling Systems via Tree Search
Sreeshma Markkassery (TU Delft - Mechanical Engineering)
Mees Bartels (Student TU Delft)
Bart De Schutter (TU Delft - Mechanical Engineering)
Ton Van Den Boom (TU Delft - Mechanical Engineering)
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Abstract
This paper investigates the growth rate and fixed points of periodic max-min-plus-scaling (MMPS) systems with a period greater than one. First, we analyze the average growth rate of the periodic MMPS system by introducing an extended periodic form for the MMPS system. Then we propose a tree search algorithm to calculate the average growth rate of the periodic MMPS system with shorter execution time as compared to similar existing algorithms for MMPS systems.
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File under embargo until 15-01-2027