Abstract
Abstract In this paper binary finite state machines are described by multilinear state equations using the same algebra as in classical discrete-time systems. This includes, as a special case, systems which are linear in the sense of common algebra. The paper focusses the general multilinear case. The main result is the following: Under specific conditions a multilinear binary feedback law can be constructed such that the over-all system becomes linear in the global sense. Degrees of freedom in the controller equation can be utilized to achieve a pre-specified cyclic operation via eigenvalue assignment. The design procedure is illustrated by an example.
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