The thermodynamics of port-Hamiltonian systems
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We show how the connect the tools of linear control theory - dissipativity, Kalman filtering, time-scale separation, etc. – with the main results of thermodynamics - First and Second Laws, Carnot's theorem, Fourier-Cattaneo's law, finite-time thermodynamics- in a consistent and rigorous way. Joint work with Henrik Sandberg and John C. Doyle.