BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Entropy for control problems and random escape rates Kawan, Christoph


This talk is about the control-theoretic problem to determine the smallest rate of information in a feedback loop above which a control system can solve a given control task. Such minimal data rates can be described by quantities that resemble topological entropy. For the control problem to render a given subset of the state space invariant, the associated entropy is related to escape rates of random dynamical systems which arise by putting shift-invariant measures on the space of admissible control functions. Here the multiplicative ergodic theorem comes into play, which allows to estimate the escape rates in terms of Lyapunov exponents.

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