Physical implementations and limitations in control theory

author: Henrik Sandberg, School of Electrical Engineering, KTH - Royal Institute of Technology
published: Oct. 16, 2012,   recorded: September 2012,   views: 3948


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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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