Process systems, passivity and the second law of thermodynamics

Computers and Chemical Engineering

Volumn 20, Issue SUPPL.2, 1996, Pages

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

^a CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ENTROPY; FREE ENERGY; NONLINEAR CONTROL SYSTEMS; PHASE EQUILIBRIA; PROCESS CONTROL; STABILITY; THERMODYNAMICS;

LOCAL EQUILIBRIUM;

CONTROL THEORY;

EID: 0029715040     PISSN: 00981354     EISSN: None     Source Type: Journal    
DOI: 10.1016/0098-1354(96)00194-9     Document Type: Article

References (10)

1. Byrnes, C. I., Isidori, A. & J. C. Willems, (1991), Passivity, Feedback equivalence, and the global stabilization of minimum phase nonlinear systems. IEEE Transac. Autom. Control. 36 (11), 1228
2. Coleman, B. D. and D. R. Owen (1974), "A Mathematical Foundation for Thermodynamics", Arch. Rational Mech. Anal., Vol 54. pp. 1-104.
3. Daniels, H.A.M. (1981), "Passivity and equilibrium for classical Hamiltonian systems", J. Math. Phys., Vol. 22, April, pp. 843-846.
4. deGroot, S.R. and P. Mazur (1962), Non-equilibrium thermodynamics, North Holland Publishing Company, Amsterdam.
5. Friedrichs, K. O. and P. D. Lax (1971), "Systems of Conservations Equations with a Convex Extension", Proc. Nat. Acad. Sci., USA, Vol 68, NO. 8, pp. 1686-1688.
6. Jou, D., J. Casa-Vazquez and G. Lebon, (1993) Extended Irreversible Thermodynamics, Springer Verlag, New York.
7. Liu, I. S. , (1972), "Method of Lagrange multipliers for exploitation of the entropy principle", Arch. Rational Mech. Anal. 46. pp.
8. Muller I. and T. Ruggeri, (1991). Extended thermodynamics, Springer-Verlag.
9. Willems, J. C. (1974) "Dissipative Dynamical Systems, Part I: General Theory", Arch. Rational Mech. Anal., Vol 45. pp. 321-350.
10. Ydstie, B. E. and K. Visnawath, (1994) "From thermodynamics to a macroscopic theory for process control", PSE-94, May30-June 3, Kyongju, Korea.