Comparison and aggregation of max-plus linear systems

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Comparison and aggregation of max-plus linear systems

We study linear systems in the max-plus algebra, where the basic operations are maximum and addition. We define a preorder to compare the state vectors of maxplus linear systems with the same dimension. We provide two algebraic methods to get bounds (with respect to this preorder) on the state vectors of a lumped maxplus linear system. The first method is based on the strong lumpability. The se...

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ژورنال

عنوان ژورنال: Linear Algebra and its Applications

سال: 2004

ISSN: 0024-3795

DOI: 10.1016/j.laa.2003.09.014