Stability and Controllability in Non-autonomous Time-discrete Dynamical Systems |
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| Authors: | Werner Krabs |
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| Institution: | Fachbereich Mathematik der Technischen , Universit?t Darmstadt , Schlossgartenstrasse 7, Darmstadt, 64289, Germany |
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| Abstract: | In this paper stability and attractivity in non-autonomous time-discrete dynamical systems is investigated with the aid of Lyapunov functions. The results are applied to the problem of stabilization of controlled systems by feedback controls. In the final section of the paper we give sufficient conditions for norm-bounded null-controllability of linear systems. |
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| Keywords: | Stability Limit Sets Lyapunov Functions Feedback Controls Norm-bounded Null-controllability |
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