Abstract
This paper investigates the problem posed by direct feedback in automata networks. Such a feedback introduces a direct instantaneous depending of the input of a system upon itself through a signal path within the network. In continuous system theory such a feedback yields an algebraic loop, which may render the overall system ill-posed. In discrete-event system theory this problem has not been investigated in detail. This paper develops criteria to test if direct feedback exists and if the network is well-posed.
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