Necessary and sufficient conditions for robust global asymptotic stabilization of discrete-time systems |
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Authors: | Iasson Karafyllis Stelios Kotsios |
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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 |
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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. |
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Keywords: | Discrete-Time Systems Lyapunov Functions Closed-loop system RGAOS |
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