Conditions for the structural existence of an eigenvalue of a bipartite (min, max, +)-system

@article{Woude2003ConditionsFT,
  title={Conditions for the structural existence of an eigenvalue of a bipartite (min, max, +)-system},
  author={Jacob van der Woude and Subiono},
  journal={Theor. Comput. Sci.},
  year={2003},
  volume={293},
  pages={13-24}
}
In this paper we consider bipartite (min;max;+)-systems. We present conditions for the structural existence of an eigenvalue and corresponding eigenvector for such systems, where both the eigenvalue and eigenvector are supposed to be +nite. The conditions are stated in terms of the system matrices that describe a bipartite (min;max;+)-system. Structural in the previous means that not so much the numerical values of the +nite entries in the system matrices are important, rather than their… CONTINUE READING

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References

Publications referenced by this paper.
Showing 1-10 of 12 references

On structural properties of min-max systems, TWI Report 93-95

  • G. J. Olsder
  • Faculty of Technical Mathematics and Informatics…
  • 1993
Highly Influential
5 Excerpts

Quadrat, Synchronization and Linearity

  • F. Baccelli, G. Cohen, J.P.G.J. Olsder
  • 1992
Highly Influential
3 Excerpts

Eigenvalues of interconnected bipartite (min;max;+)-systems

  • Subiono, J. W. van der Woude
  • Proceedings of the Workshop On Discrete Event…
  • 2000
1 Excerpt

A constructive +xed point theorem for min-max functions, Dynamics Stability Systems

  • J. Cochet-Terrasson, S. Gaubert, J. Gunawardena
  • 1999
3 Excerpts

Quadrat, Numerical computation of spectral elements in max-plus algebra

  • J. Cochet-Terrasson, G. Cohen, S. Gaubert, J.P.M. Mc Gettrick
  • Preprints of the IFAC Conf. on System Structure…
  • 1998
1 Excerpt

Olsder, On bipartite min–max–plus systems, CD-ROM of Proc

  • G. J. Subiono
  • European Control Conf. (ECC97), Brussels, Belgium…
  • 1997
1 Excerpt

A constructive + xed point theorem for min - max functions

  • S. Gaubert, M. Mc Gettrick, S. Gaubert Cochet-Terrasson, J. Gunawardena
  • Dynamics Stability Systems
  • 1993

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