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Thermodynamic modeling, energy equipartition, and nonconservation of entropy for discrete-time dynamical systems.

Bibliographic Details
Main Authors:	Haddad, Wassim., Hui, Qing., Nersesov, Sergey., Chellaboina, VijaySekhar.
Format:	Villanova Faculty Authorship
Language:	English
Published:	2005
Online Access:	http://ezproxy.villanova.edu/login?url=https://digital.library.villanova.edu/Item/vudl:178334

Main Authors:

Haddad, Wassim., Hui, Qing., Nersesov, Sergey., Chellaboina, VijaySekhar.

Format:

Villanova Faculty Authorship

Language:

English

Published:

2005

Online Access:

http://ezproxy.villanova.edu/login?url=https://digital.library.villanova.edu/Item/vudl:178334

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spelling	Thermodynamic modeling, energy equipartition, and nonconservation of entropy for discrete-time dynamical systems. Haddad, Wassim. Hui, Qing. Nersesov, Sergey. Chellaboina, VijaySekhar. In this paper we develop thermodynamic models for discrete-time large-scale dynamical systems. Specifically, using compartmental dynamical system theory, we develop energy flow models possessing energy conservation, energy equipartition, temperature equipartition, and entropy nonconservation principles for discrete-time, large-scale dynamical systems. Furthermore, we introduce a new and dual notion to entropy, namely, ectropy, as a measure of the tendency of a dynamical system to do useful work and grow more organized, and show that conservation of energy in an isolated thermodynamic system necessarily leads to nonconservation of ectropy and entropy. In addition, using the system ectropy as a Lyapunov function candidate we show that our discrete-time, large-scale thermodynamic energy flow model has convergent trajectories to Lyapunov stable equilibria determined by the system initial subsystem energies. 2005 Villanova Faculty Authorship vudl:178334 2005 American Control Conference June 8-10, 2005. Portland, OR, USA, pg. 4832-4837. en
dc.title_txt_mv	Thermodynamic modeling, energy equipartition, and nonconservation of entropy for discrete-time dynamical systems.
dc.creator_txt_mv	Haddad, Wassim. Hui, Qing. Nersesov, Sergey. Chellaboina, VijaySekhar.
dc.description_txt_mv	In this paper we develop thermodynamic models for discrete-time large-scale dynamical systems. Specifically, using compartmental dynamical system theory, we develop energy flow models possessing energy conservation, energy equipartition, temperature equipartition, and entropy nonconservation principles for discrete-time, large-scale dynamical systems. Furthermore, we introduce a new and dual notion to entropy, namely, ectropy, as a measure of the tendency of a dynamical system to do useful work and grow more organized, and show that conservation of energy in an isolated thermodynamic system necessarily leads to nonconservation of ectropy and entropy. In addition, using the system ectropy as a Lyapunov function candidate we show that our discrete-time, large-scale thermodynamic energy flow model has convergent trajectories to Lyapunov stable equilibria determined by the system initial subsystem energies.
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author	Haddad, Wassim. Hui, Qing. Nersesov, Sergey. Chellaboina, VijaySekhar.
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author_facet	Haddad, Wassim. Hui, Qing. Nersesov, Sergey. Chellaboina, VijaySekhar.
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description	In this paper we develop thermodynamic models for discrete-time large-scale dynamical systems. Specifically, using compartmental dynamical system theory, we develop energy flow models possessing energy conservation, energy equipartition, temperature equipartition, and entropy nonconservation principles for discrete-time, large-scale dynamical systems. Furthermore, we introduce a new and dual notion to entropy, namely, ectropy, as a measure of the tendency of a dynamical system to do useful work and grow more organized, and show that conservation of energy in an isolated thermodynamic system necessarily leads to nonconservation of ectropy and entropy. In addition, using the system ectropy as a Lyapunov function candidate we show that our discrete-time, large-scale thermodynamic energy flow model has convergent trajectories to Lyapunov stable equilibria determined by the system initial subsystem energies.
title	Thermodynamic modeling, energy equipartition, and nonconservation of entropy for discrete-time dynamical systems.
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Thermodynamic modeling, energy equipartition, and nonconservation of entropy for discrete-time dynamical systems.
Haddad, Wassim.
Hui, Qing.
Nersesov, Sergey.
Chellaboina, VijaySekhar.
In this paper we develop thermodynamic models for discrete-time large-scale dynamical systems. Specifically, using compartmental dynamical system theory, we develop energy flow models possessing energy conservation, energy equipartition, temperature equipartition, and entropy nonconservation principles for discrete-time, large-scale dynamical systems. Furthermore, we introduce a new and dual notion to entropy, namely, ectropy, as a measure of the tendency of a dynamical system to do useful work and grow more organized, and show that conservation of energy in an isolated thermodynamic system necessarily leads to nonconservation of ectropy and entropy. In addition, using the system ectropy as a Lyapunov function candidate we show that our discrete-time, large-scale thermodynamic energy flow model has convergent trajectories to Lyapunov stable equilibria determined by the system initial subsystem energies.
2005
Villanova Faculty Authorship
vudl:178334
2005 American Control Conference June 8-10, 2005. Portland, OR, USA, pg. 4832-4837.
en

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Thermodynamic modeling, energy equipartition, and nonconservation of entropy for discrete-time dynamical systems.

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Haddad, Wassim.
Hui, Qing.
Nersesov, Sergey.
Chellaboina, VijaySekhar.

dc.description_txt_mv

In this paper we develop thermodynamic models for discrete-time large-scale dynamical systems. Specifically, using compartmental dynamical system theory, we develop energy flow models possessing energy conservation, energy equipartition, temperature equipartition, and entropy nonconservation principles for discrete-time, large-scale dynamical systems. Furthermore, we introduce a new and dual notion to entropy, namely, ectropy, as a measure of the tendency of a dynamical system to do useful work and grow more organized, and show that conservation of energy in an isolated thermodynamic system necessarily leads to nonconservation of ectropy and entropy. In addition, using the system ectropy as a Lyapunov function candidate we show that our discrete-time, large-scale thermodynamic energy flow model has convergent trajectories to Lyapunov stable equilibria determined by the system initial subsystem energies.

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2005

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2005 American Control Conference June 8-10, 2005. Portland, OR, USA, pg. 4832-4837.

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Haddad, Wassim.
Hui, Qing.
Nersesov, Sergey.
Chellaboina, VijaySekhar.

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Haddad, Wassim.
Hui, Qing.
Nersesov, Sergey.
Chellaboina, VijaySekhar.
Thermodynamic modeling, energy equipartition, and nonconservation of entropy for discrete-time dynamical systems.

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Haddad, Wassim.
Hui, Qing.
Nersesov, Sergey.
Chellaboina, VijaySekhar.

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2005 American Control Conference June 8-10, 2005. Portland, OR, USA, pg. 4832-4837.

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Thermodynamic modeling, energy equipartition, and nonconservation of entropy for discrete-time dynamical systems.

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Thermodynamic modeling, energy equipartition, and nonconservation of entropy for discrete-time dynamical systems.

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Thermodynamic modeling, energy equipartition, and nonconservation of entropy for discrete-time dynamical systems.

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Thermodynamic modeling, energy equipartition, and nonconservation of entropy for discrete-time dynamical systems.

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Thermodynamic modeling, energy equipartition, and nonconservation of entropy for discrete-time dynamical systems.

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