Abstract
AbstractIn 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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