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Efficient Calculation of the Transition Matrix in a Max-Plus Linear State-Space Representation

Hiroyuki GOTO

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Summary :

This research considers an efficient method for calculating the transition matrix in an MPL (Max-Plus Linear) state-space representation. This matrix can be generated by applying the Kleene star operator to an adjacency matrix. The proposed method, based on the idea of a topological sort in graph theory and block splitting, is able to calculate the transition matrix efficiently.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E91-A No.5 pp.1278-1282
Publication Date
2008/05/01
Publicized
Online ISSN
1745-1337
DOI
10.1093/ietfec/e91-a.5.1278
Type of Manuscript
LETTER
Category
Systems and Control

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