Finite-time thermodynamics of port-Hamiltonian systems

Physica D: Nonlinear Phenomena

Volumn 267, Issue , 2014, Pages 123-132

  Delvenne, Jean Charles ^a   Sandberg, Henrik ^b  

^a UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

^b ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

Hamiltonian systems; Optimal control theory; Statistical mechanics; Stochastic control theory; Thermodynamics

Indexed keywords

CONTROL THEORY; HEAT ENGINES; LINEAR CONTROL SYSTEMS; STATISTICAL MECHANICS; STOCHASTIC CONTROL SYSTEMS; STOCHASTIC SYSTEMS; THERMODYNAMICS; TIME VARYING CONTROL SYSTEMS;

FINITE TIME INTERVALS; FINITE TIME THERMODYNAMICS; HAMILTONIAN SYSTEMS; LINEAR CONTROL THEORY; OPTIMAL CONTROL THEORY; PORT-HAMILTONIAN SYSTEMS; SECOND LAWS OF THERMODYNAMICS; STOCHASTIC CONTROL THEORY;

HAMILTONIANS;

EID: 84889099141     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2013.07.017     Document Type: Article

References (40)

1. R. Kubo The fluctuation-dissipation theorem Rep. Progr. Phys. 29 1966 255 284
2. J.C. Willems Dissipative dynamical systems part I: general theory Arch. Ration. Mech. Anal. 45 1972 321 351
3. J.C. Willems Dissipative dynamical systems part II: linear systems with quadratic supply rates Arch. Ration. Mech. Anal. 45 1972 352 393
4. V.S. Borkar, and S.K. Mitter A note on stochastic dissipativeness A. Rantzer, C.I. Byrnes, Directions in Mathematical Systems Theory and Optimization 2002 Springer-Verlag 41 49 in honor of Professor Anders Lindquist's 60th birthday
5. R.W. Brockett, J.C. Willems, Stochastic control and the second law of thermodynamics, in: Proceedings of the IEEE Conference on Decision and Control, San Diego, California, 1978, pp. 1007-1011. (Pubitemid 9429879)
6. R.W. Brockett Control of stochastic ensembles The Åstrom Symposium on Control 1999 Studentlitteratur Lund, Sweden 199 215
7. P. Salamon, J. Nulton, G. Siragusa, T. Andersen, and A. Limon Principles of control thermodynamics Energy 26 2001 307 319 (Pubitemid 32292287)
8. S.K. Mitter, and N.J. Newton Information and entropy flow in the Kalman-Bucy filter J. Stat. Phys. 118 2005 145 176
9. D. Eberard, B. Maschke, and A. van der Schaft An extension of hamiltonian systems to the thermodynamic phase space: towards a geometry of nonreversible processes Rep. Math. Phys. 60 2007 175 198
10. W.M. Haddad, V.S. Chellaboina, and S.G. Nersesov Thermodynamics: A Dynamical Systems Approach 2005 Princeton University Press
11. D. Gromov, and P. Caines On the stability of interconnected thermodynamic systems with heat and work exchange American Control Conference, ACC, 2012 2012 IEEE 386 391
12. R. Warden, R. Aris, and N. Amundson An analysis of chemical reactor stability and control VIII: the direct method of Lyapunov, introduction and applications to simple reactions in stirred vessels Chem. Eng. Sci. 19 1964 149 172
13. A. Favache, and D. Dochain Thermodynamics and chemical systems stability: the cstr case study revisited J. Process Control 19 2009 371 379
14. M. Barahona, A.C. Doherty, M. Sznaier, H. Mabuchi, J.C. Doyle, Finite horizon model reduction and the appearance of dissipation in Hamiltonian systems, in: Proceedings of the 41st IEEE Conference on Decision and Control, Vol. 4, 2002, pp. 4563-4568.
15. H. Sandberg, J. Delvenne, and J.C. Doyle On lossless approximations, the fluctuation-dissipation theorem, and limitations of measurements IEEE Trans. Automat. Control 56 2011 293 308
16. H. Sandberg, J.-C. Delvenne, The observer effect in estimation with physical communication constraints, in: Proceedings of the 18th IFAC World Congress, vol. 18, part 1, 2011.
17. A.J. van der Schaft, Port-Hamiltonian systems: an introductory survey, in: Proceedings of the International Congress of Mathematicians, Madrid, Spain, 2006.
18. B. Maschke, A.V.D. Schaft, and P. Breedveld An intrinsic Hamiltonian formulation of network dynamics: non-standard Poisson structures and gyrators J. Franklin Inst. B 329 1992 923 966
19. J. Cervera, A.J. van der Schaft, and A. Baños Interconnection of port-Hamiltonian systems and composition of Dirac structures Automatica 43 2007 212 225 (Pubitemid 46037585)
20. V. Duindam, A. Macchelli, S. Stramigioli, and H. Bruyninckx Modeling and Control of Complex Physical Systems: the Port-Hamiltonian Approach 2009 Springer
21. J.C. Maxwell Theory of Heat 1897 Longmans, Green, and Company
22. H. Leff, and A.F. Rex Maxwell's Demon 2 Entropy, Classical and Quantum Information, Computing, Vol. 2 2010 CRC Press
23. B. Andresen Finite-Time Thermodynamics 1983 University of Copenhagen
24. V. Orlov, and R. Berry Power output from an irreversible heat engine with a nonuniform working fluid Phys. Rev. A 42 1990 7230
25. K.H. Hoffmann An introduction to endoreversible thermodynamics AAPP - Phys., Math., and Nat. Sci. 86.S1 2008
26. J.-C. Delvenne, H. Sandberg, J.C. Doyle, Thermodynamics of linear systems, in: Proceedings of the European Control Conference, Kos, Greece, 2007.
27. H. Sandberg, J. Delvenne, and J. Doyle Linear-quadratic-gaussian heat engines 2007 46th IEEE Conference on Decision and Control 2007 IEEE 3102 3107 (Pubitemid 351277628)
28. D. Mandal, and C. Jarzynski Work and information processing in a solvable model of Maxwell's demon Proc. Natl. Acad. Sci. 109 2012 11641 11645
29. P. Strasberg, G. Schaller, T. Brandes, and M. Esposito Thermodynamics of a physical model implementing a Maxwell demon Phys. Rev. Lett. 110 2013 040601
30. M. Schöberl, and K. Schlacher On an intrinsic formulation of time-variant Port Hamiltonian systems Automatica 48 2012 2194 2200
31. J. Willems Terminals and ports IEEE Circuits Syst. Mag. 10 2010 8 26
32. V. Duindam, A. Macchelli, and S. Stramigioli Modeling and Control of Complex Physical Systems 2009 Springer
33. H. Nyquist Thermal agitation of electrical charge in conductors Phys. Rev. 32 1928 110 113
34. A. Caldeira, and A. Leggett Path integral approach to quantum Brownian motion Physica 121A 1983 587 616
35. M.S. Gupta Thermal fluctuations in driven nonlinear resistive systems Phys. Rev. A 18 1978 2725 2731
36. B.D. Anderson, D.A. Spaulding, and R.W. Newcomb The time-variable transformer Proc. IEEE 53 1965 634
37. T.M. Cover, and J.A. Thomas Elements of Information Theory 1991 John Wiley and Sons New York
38. P. Chambadal Les Centrales Nucléaires, Vol. 321 1957 A. Colin
39. I.I. Novikov The efficiency of atomic power stations (a review) J. Nucl. Energy (1954) 7.1 1958 125 128
40. K.J. Åström Introduction to Stochastic Control Theory 2006 Dover Publications