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Physical implementations and limitations in control theory
This video was recorded at Workshop on Statistical Physics of Inference and Control Theory, Granada 2012. We discuss how and when one can implement and approximate given active and passive systems using lossless/Hamiltonian systems. In particular, we show that lossless systems are dense in the passive systems in a certain sense. We furthermore discuss how laws from statistical physics, such as the fluctuation-dissipation theorem, give rise to meaningful limitations in control problems. Joint work with Jean-Charles Delvenne and John C. Doyle.
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