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2006 American Control Conference
This paper considers systems over finite alphabets, that is discrete-time systems whose input and output signals take their values in finite sets. Three notions of input/output stability are proposed: gain stability, incremental stability and external stability. Sufficient conditions for stability of feedback interconnections of stable systems, in the finite gain and incremental sense, are derived. Simple examples are used to illustrate the practical significance of these notions of stabilitydoi:10.1109/acc.2006.1657351 fatcat:paft7jmrgvahjanr4k4ugklb4y