Optimal control of (min, +) linear time-varying systems

@inproceedings{Lahaye1999OptimalCO,
  title={Optimal control of (min, +) linear time-varying systems},
  author={S{\'e}bastien Lahaye and Jean-Louis Boimond and Laurent Hardouin},
  booktitle={PNPM},
  year={1999}
}
The class of discrete event dynamic systems involving only synchronization phenomena can be seen as linear time-invariant systems in a particular algebraic structure called (min,+) algebra. In the same framework, this paper deals with linear time-varying systems, that is, systems whose parameters may change as functions of time. For example, in a manufacturing system the number of working machines, or the number of trains running in a closed network of railway connections, can vary as functions… CONTINUE READING
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