Process systems and passivity via the Clausius-Planck inequality

Systems and Control Letters

Volumn 30, Issue 5, 1997, Pages 253-264

  Ydstie, B Erik ^a   Alonso, Antonio A ^b  

^a CARNEGIE MELLON UNIVERSITY   (United States)

^b UNIVERSITY OF VIGO   (Spain)

Author keywords

Distributed system; Energy; Entropy; Exergy; Hyperbolic differential equation; Irreversible thermodynamics; Molecular dynamics; Non equilibrium thermodynamics; Nonlinear control; Passivity; Process control; System theory

Indexed keywords

EID: 0001062045     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6911(97)00023-6     Document Type: Article

References (13)

1. C.I. Byrnes, A. Isidori, J.C. Willems, Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems, IEEE Trans. Automat. Control 36 (11) (1991) 1228.
2. H.B. Callen, Thermodynamics, Wiley, New York, 1960.
3. B.D. Coleman, D.R. Owen, A mathematical foundation for thermodynamics, Arch. Rational Mech. Anal. 54 (1974) 1-104.
4. H.A.M. Daniëls, Passivity and equilibrium for classical Hamiltonian systems, J. Math. Phys. 22 (1981) 843-846.
5. S.R. deGroot, P. Mazur, Non-equilibrium Thermodynamics, North-Holland, Amsterdam, 1962.
6. C.A. Desoer, M. Vidyasagar, Feedback systems: Input-output Properties, Academic Press, New York, 1975.
7. D.J. Evans, G.P. Morris, Statistical Mechanics of Non-equilibrium Liquids, Academic Press, New York, 1990.
8. K.O. Friedrichs, P.D. Lax, Systems of conservations equations with a convex extension, Proc. Nat. Acad. Sci., USA, 68 (8) (1971) 1686-1688.
9. D. Jou, J. Casa-Vazquez, G. Lebon, Extended Irreversible Thermodynamics, Springer, New York, 1993.
10. J.H. Keenan, Availability and irreversibility in thermodynamics, The British J. Appl. Phys. 2 (1952).
11. I.S. Liu, Method of Lagrange multipliers for exploitation of the entropy principle, Arch. Rational Mech. Anal. 46 (1972) 131-148.
12. I. Muller, T. Ruggeri, Extended Thermodynamics, Springer, Berlin, 1991.
13. J.C. Willems, Dissipative dynamical systems, Part I: General theory, Arch. Rational Mech. Anal. 45 (1974) 321-350.