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

  • Authors:
  • Hiroyuki Goto

  • Affiliations:
  • -

  • Venue:
  • IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
  • Year:
  • 2008

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Abstract

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.