From First to Second-Order Theory of Linear Discrete Event Systems

@inproceedings{Cohen1993FromFT,
  title={From First to Second-Order Theory of Linear Discrete Event Systems},
  author={Gustavo Vargas Cohen and St{\'e}phane Gaubert and Jean-Pierre Quadrat},
  year={1993}
}
For timed event graphs, linear models were obtained using dioid algebra. After describing backward equations which solve an optimal tracking problem and which introduce co-state variables, this paper presents preliminary results concerning the matrix of ‘ratios’ (i.e. conventional differences) of co-states over states: this matrix sounds like a Riccati matrix, although a neat analogue to a Riccati equation has not been found yet. 

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