The Minimal Realization Problem in the Max-Plus Algebra

Reference

G. J. Olsder and B. De Schutter, "The minimal realization problem in the max-plus algebra," Chapter 32 in Open Problems in Mathematical Systems and Control Theory (V. D. Blondel, E. D. Sontag, M. Vidyasagar, and J. C. Willems, eds.), London, UK: Springer, ISBN 1-85233-044-9, pp. 157-162, 1999.

Abstract

In this chapter we present known results and open problems in connection with the minimal state space realization problem in the max-plus algebra, which is a framework that can be used to model a class of discrete event systems.

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BibTeX

@incollection{OlsDeS:98-96,
   author    = {Olsder, Geert Jan and De Schutter, Bart},
   title     = {The Minimal Realization Problem in the Max-Plus Algebra},
   chapter   = {32},
   booktitle = {Open Problems in Mathematical Systems and Control Theory},
   editor    = {Blondel, Vincent D. and Sontag, Eduardo D. and Vidyasagar, M.
                and Willems, Jan C.},
   publisher = {Springer},
   address   = {London, UK},
   pages     = {157--162},
   year      = {1999}
   }


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