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Necessary and sufficient conditions for robust global asymptotic stabilization of discrete-time systems
Authors:Iasson Karafyllis  Stelios Kotsios
Affiliation:1. Division of Mathematics, Department of Economics , University of Athens , Athens, Greece ikarafil@econ.uoa.gr;3. Division of Mathematics, Department of Economics , University of Athens , Athens, Greece
Abstract:We give Lyapunov-like conditions for non-uniform in time output stabilization of discrete-time systems. Particularly, it is proved that for a discrete-time control system there exists a (continuous) output stabilizing feedback if and only if there exists a (strong) output control Lyapunov function (OCLF). Moreover, strategies for the construction of continuous robust feedback stabilizers are presented.
Keywords:Discrete-Time Systems  Lyapunov Functions  Closed-loop system  RGAOS
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