Non-uniform robust global asymptotic stability for discrete-time systems and applications to numerical analysis |
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| Authors: | Karafyllis Iasson |
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| Affiliation: | Division of Mathematics, Department of Economics, University of Athens, 8 Pesmazoglou Street, 10559, Athens, Greece |
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| Abstract: | The notion of non-uniform Robust Global Asymptotic Stability(RGAS) presented in this paper generalizes the notion of non-uniformin time RGAS for finite- or infinite-dimensional discrete-timesystems. Lyapunov characterizations for this stability notionare provided. The results are applied to finite-dimensionaldiscrete-time systems obtained by time discretization of continuous-timesystems by the explicit Euler method. |
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| Keywords: | discrete-time systems time discretization Lyapunov functions. |
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