Discrete Dynamic Systems

Year, extent, credits

Level
Stupeň
Ing.
Semester
Číslo semestra
I. LS
Extent
Rozsah
2P / 2CV
Credits
Počet kreditov
6
Obsah
  • Max-plus algebra.
  • Model DDS in max-plus algebra and its representation by an orbit.
  • Min-plus algebra.
  • Digraphs in modelling DDS.
  • Systems of equations and systems of inequalities in max-plus algebra.
  • Spectral theory and steady state of DDS.
  • Periodic behaviour of DDS.
  • Algorithms.
Odporúčaná literatúra
  1. Butkovič, P.: Max-linear Systems: Theory and Algorithms,
  2. Gavalec, M.: Periodicity in extremal algebras,
  3. Heidergott, B. - Olsder, G. J. - van der Woude, J.: Max plus at work: Modeling and analysis of synchronized systems,
  4. Molnárová, M.: Discrete dynamic systems

Conditions for obtaining prerequisites

Podmienky zápočtu

obtaining at least 16 points out of 30 possible

  1. Test - 30 points (10th week of semester)

Conditions for obtaining examination

Podmienky skúšky

obtaining at least 36 points out of 70 possible

  1. Practical part - 30 points
  2. Theoretical part - 40 points