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- W4245392359 abstract "This chapter describes the thermodynamic modeling of large-scale interconnected dynamical systems. Using compartmental dynamical system theory, it develops energy flow models possessing energy conservation and energy equipartition principles for large-scale dynamical systems. It then gives a deterministic definition of entropy for a large-scale dynamical system that is consistent with the classical definition of entropy and shows that it satisfies a Clausius-type inequality leading to the law of nonconservation of entropy. It also introduces the notion of ectropy as a measure of the tendency of a dynamical system to do useful work and grow more organized. It demonstrates how conservation of energy in an isolated thermodynamic large-scale system leads to nonconservation of ectropy and entropy. Finally, the chapter uses the system ectropy as a Lyapunov function candidate to show that the large-scale thermodynamic energy flow model has convergent trajectories to Lyapunov stable equilibria determined by the system initial subsystem energies." @default.
- W4245392359 created "2022-05-12" @default.
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- W4245392359 date "2011-12-04" @default.
- W4245392359 modified "2023-09-26" @default.
- W4245392359 title "Thermodynamic Modeling of Large-Scale Interconnected Systems" @default.
- W4245392359 doi "https://doi.org/10.23943/princeton/9780691153469.003.0004" @default.
- W4245392359 hasPublicationYear "2011" @default.
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