Title :
Input/output stability of systems over finite alphabets
Author :
Tarraf, Danielle ; Megretski, Alexandre ; Dahleh, Munther A.
Author_Institution :
Lab. for Inf. & Decision Syst., MIT, Cambridge, MA
Abstract :
This paper considers systems over finite alphabets, that are 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 as performance objectives and as robustness measures
Keywords :
discrete time systems; feedback; input-output stability; discrete-time system; external stability; feedback interconnection; finite alphabet; finite gain stability; finite set; incremental stability; input-output stability; robustness measure; stable system; Aerodynamics; Automata; Closed loop systems; Feedback; Integral equations; Performance gain; Programmable control; Robust control; Robust stability; Sufficient conditions;
Conference_Titel :
American Control Conference, 2006
Conference_Location :
Minneapolis, MN
Print_ISBN :
1-4244-0209-3
Electronic_ISBN :
1-4244-0209-3
DOI :
10.1109/ACC.2006.1657351
