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Complexity of control on finite automata

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2 Author(s)
Delvenne, J. ; Div. of Appl. Math., Univ. Catholique de Louvain, Louvain-la-Neuve, Belgium ; Blondel, V.D.

We consider control questions for finite automata viewed as input/output systems. In particular, we find estimates of the minimal number of states of an automaton able to control a given automaton. We prove that, on average, feedback closed-loop control automata do not have fewer states than open-loop control automata when the control objective is to steer the controlled automaton to a target state. We compare our approach to other ways of formalizing of formalizing analogous control objectives.

Published in:

Automatic Control, IEEE Transactions on  (Volume:51 ,  Issue: 6 )