Abstract
A state-space characterization of invertibility of finite state systems is examined in terms of relational calculus. An algorithm which determines the invertibility of a system is obtained, which is seen to be a generalization of the known result in the framework of linear geometric control. For this purpose two concepts, namely, ‘ contractible relation ’ as a generalization of the (A, B)-invariant subspace and ‘ product system ’, are defined and utilized intensively.
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