On the boolean minimal realization problem in the max-plus algebra

نویسندگان

  • B. De Moor
  • Bart De Schutter
  • Bart De Moor
چکیده

The max-plus algebra is one of the frameworks that can be used to model discrete event systems. One of the open problems in the max-plus-algebraic system theory for discrete event systems is the minimal realization problem. In this paper we present some results for a simplified version of the general minimal realization problem: the boolean minimal realization problem, i.e., we consider models in which the entries of the system matrices are either equal to the max-plus-algebraic zero element or to the max-plusalgebraic identity element.

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تاریخ انتشار 1997