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

Lahaye, S.;
Boimond, J.-L.;
Hardouin, L.
In:
*Proc. 8th Int. Workshop on Petri Net and Performance Models (PNPM'99), 8-10 October 1999, Zaragoza, Spain*, pages 170-178.
1999.

Abstract:
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 of time. For such systems, the output tracking problem is
optimally solved under just-in-time criterion.

Keywords:
discrete event dynamic systems, just-in-time control, time-varying systems.

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