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Minimal realization in the max algebra is an extended linear complementarity problem

  • Published:1995-05 Issue:2 Volume:25 Page:103-111
  • ISSN:0167-6911
  • Container-title:Systems & Control Letters
  • language:en
  • Short-container-title:Systems & Control Letters

Author:

De Schutter Bart,De Moor Bart

Publisher

Elsevier BV

Subject

Electrical and Electronic Engineering,Mechanical Engineering,General Computer Science,Control and Systems Engineering

Reference9 articles.

1. Synchronization and Linearity;Baccelli,1992

2. The Linear Complementarity Problem;Cottle,1992

3. Algebraic realization of discrete dynamic systems;Cuninghame-Green,1991

4. The characteristic equation and minimal state space realization of SISO systems in the max algebra;De Schutter,1994

5. The extended linear complementarity problem;De Schutter,1993

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3. Locally and globally optimal solutions of global optimisation for max‐plus linear systems;IET Control Theory & Applications;2021-11-11

4. Global optimization for max-plus linear systems and applications in distributed systems;Automatica;2020-09

5. Optimal input design for uncertain max-plus linear systems;International Journal of Robust and Nonlinear Control;2018-08-03
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