Minimal Representation of Finite Automata for Hybrid Systems Control

@article{Kobayashi2006MinimalRO,
  title={Minimal Representation of Finite Automata for Hybrid Systems Control},
  author={Kouya Kobayashi and Jun-ichi Imura},
  journal={Proceedings of the 45th IEEE Conference on Decision and Control},
  year={2006},
  pages={930-935}
}
This paper discusses a new approach to representing a finite automaton as a linear state equation with the smallest number of binary input variables to reduce the computational time for solving the model predictive control problem of a class of hybrid systems. Our method for modeling a finite automaton, which has been proposed in our previous paper, is explained at first. Then an open question on the minimality of the dimension of binary input variables in the state equation is described. Thus… CONTINUE READING

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