Invariance Entropy |
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| Authors: | Christoph Kawan |
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| Institution: | Institut für Mathematik, Universität Augsburg, Universitätsstrasse 14, 86159 Augsburg |
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| Abstract: | In this paper, the concept of invariance entropy for continuous-time control systems is introduced. This quantity measures the minimal data rate necessary to render a compact subset of the state space invariant by a coder-controller device. Invariance entropy is an intrinsic quantity of the open-loop system and shares several properties with the classical entropy quantities in the field of dynamical systems. Some of these properties, in particular relations to Lyapunov exponents, are pointed out. (© 2011 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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