Input/output stability of systems over finite alphabets

D. Tarraf, A. Megretski, M.A. Dahleh
2006 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 stability
more » ... performance objectives and as robustness measures.
doi:10.1109/acc.2006.1657351 fatcat:paft7jmrgvahjanr4k4ugklb4y