메뉴 건너뛰기




Volumn , Issue , 2007, Pages 4095-4102

Contact structures: Application to interconnected thermodynamical systems

Author keywords

[No Author keywords available]

Indexed keywords

COMPLEX NETWORKS; LARGE SCALE SYSTEMS; PHASE SPACE METHODS; THERMODYNAMICS; VECTOR SPACES;

EID: 84927747302     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.23919/ecc.2007.7068774     Document Type: Conference Paper
Times cited : (9)

References (41)
  • 1
    • 84927779962 scopus 로고
    • Geometric control theory, ser. Lie groups: History, frontiers and applications
    • ch. Control theory and analytical mechanics
    • R. Brockett, Geometric control theory, ser. Lie groups: History, frontiers and applications. C. Martin and R. Herman editions, 1977, vol. 7, ch. Control theory and analytical mechanics.
    • (1977) C. Martin and R. Herman Editions , vol.7
    • Brockett, R.1
  • 2
    • 0012927182 scopus 로고    scopus 로고
    • Springer, Berlin, ch. System theory and mechanics: Three dacades of mathematical system theory
    • A. Van der Schaft, Lecture Notes in Control Information Science. Springer, Berlin, 1989, vol. 135, ch. System theory and mechanics: Three dacades of mathematical system theory, pp. 426-452.
    • (1989) Lecture Notes in Control Information Science , vol.135 , pp. 426-452
    • Schaft Der A.Van1
  • 4
    • 0012927182 scopus 로고    scopus 로고
    • Springer, Berlin, ch. L2-Gain and Passivity Techniques in Nonlinear Control
    • A. Van der Schaft, Lecture Notes in Control and Information Science. Springer, Berlin, 1996, vol. 218, ch. L2-Gain and Passivity Techniques in Nonlinear Control, pp. 426-452.
    • (1996) Lecture Notes in Control and Information Science , vol.218 , pp. 426-452
    • Schaft Der A.Van1
  • 6
    • 34250464350 scopus 로고
    • Dissipative dynamical systems, part 1: General theory
    • J. Willems, "Dissipative dynamical systems, part 1: General theory," Arch. Rat. Mech. Anal., vol. 45, pp. 321-351, 1972.
    • (1972) Arch. Rat. Mech. Anal. , vol.45 , pp. 321-351
    • Willems, J.1
  • 7
    • 0000015864 scopus 로고
    • The Hamiltonian formulation of energy conserving physical systems with external ports
    • A. Van der Schaft and B. Maschke, "The Hamiltonian formulation of energy conserving physical systems with external ports," Archiv für Elektronik und Ü bertragungstechnik, vol. 49, no. 5/6, pp. 362-371, 1995.
    • (1995) Archiv Für Elektronik und Ü Bertragungstechnik , vol.49 , Issue.5-6 , pp. 362-371
    • Schaft Der A.Van1    Maschke, B.2
  • 8
    • 0003207640 scopus 로고    scopus 로고
    • Imperial College Press, London, 1997, ch. Interconnected Mechanical systems. Part1: Geometry of interconnection and implicit Hamiltonian systems
    • A. Van der Schaft and B. Maschke, Modelling and Control of Mechanical Systems. Imperial College Press, London, 1997, ch. Interconnected Mechanical systems. Part1: Geometry of interconnection and implicit Hamiltonian systems, pp. 426-452.
    • Modelling and Control of Mechanical Systems , pp. 426-452
    • Schaft Der A.Van1    Maschke, B.2
  • 9
    • 38249008822 scopus 로고
    • An intrinsic Hamiltonian formulation of network dynamics: Non-standard Poisson structures and gyrators
    • B. Maschke, A. Van der Schaft, and P. Breedveld, "An intrinsic Hamiltonian formulation of network dynamics: non-standard Poisson structures and gyrators," Journal of the Franklin Institute, vol. 329, no. 5, pp. 923-966, 1992.
    • (1992) Journal of the Franklin Institute , vol.329 , Issue.5 , pp. 923-966
    • Maschke, B.1    Schaft Der A.Van2    Breedveld, P.3
  • 10
    • 33749141694 scopus 로고    scopus 로고
    • Dirac structures in Lagrangian mechanics part I: Implicit Lagrangian systems
    • H. Yoshimura and J. Marsden, "Dirac structures in Lagrangian mechanics part I: Implicit Lagrangian systems," Journal of Geometry and Physics, vol. 57, no. 1, pp. 133-156, 2006.
    • (2006) Journal of Geometry and Physics , vol.57 , Issue.1 , pp. 133-156
    • Yoshimura, H.1    Marsden, J.2
  • 11
    • 33749126543 scopus 로고    scopus 로고
    • Dirac structures in Lagrangian mechanics part II: Variational structures
    • -, "Dirac structures in Lagrangian mechanics part II: Variational structures," Journal of Geometry and Physics, vol. 57, no. 1, pp. 209-250, 2006.
    • (2006) Journal of Geometry and Physics , vol.57 , Issue.1 , pp. 209-250
    • Yoshimura, H.1    Marsden, J.2
  • 12
    • 0032154062 scopus 로고    scopus 로고
    • On representations and integrability of mathematical structures in energy-conserving physical systems
    • M. Dalsmo and A. Van der Schaft, "On representations and integrability of mathematical structures in energy-conserving physical systems," Journal on Control and Optimization, vol. 37, no. 1, pp. 54-91, 1998.
    • (1998) Journal on Control and Optimization , vol.37 , Issue.1 , pp. 54-91
    • Dalsmo, M.1    Schaft Der A.Van2
  • 17
    • 0029715040 scopus 로고    scopus 로고
    • Process systems, passivity and the second law of thermodynamics
    • A. Alonso and B. Ydstie, "Process systems, passivity and the second law of thermodynamics," Computers & Chemical Engineering, vol. 20, pp. 1119-1124, 1996.
    • (1996) Computers & Chemical Engineering , vol.20 , pp. 1119-1124
    • Alonso, A.1    Ydstie, B.2
  • 18
    • 0033118965 scopus 로고    scopus 로고
    • Thermodynamic approach to the structural stability of prcoess plants
    • K. Hangos, A. Alonso, J. Perkins, and B. Ydstie, "Thermodynamic approach to the structural stability of prcoess plants," AIChE Journal, vol. 45, no. 4, pp. 802-816, 1999.
    • (1999) AIChE Journal , vol.45 , Issue.4 , pp. 802-816
    • Hangos, K.1    Alonso, A.2    Perkins, J.3    Ydstie, B.4
  • 19
    • 84927779961 scopus 로고    scopus 로고
    • An extension of port Hamiltonian systems with boundary port variables to irreversible systems: The example of the heat conduction
    • Stuttgart (Germany), September
    • B. Maschke and D. Eberard, "An extension of port Hamiltonian systems with boundary port variables to irreversible systems: The example of the heat conduction," in IFAC Symposium on Nonlinear Control Systems design NOLCOS'04, Stuttgart (Germany), September 2004.
    • (2004) IFAC Symposium on Nonlinear Control Systems Design NOLCOS'04
    • Maschke, B.1    Eberard, D.2
  • 21
  • 22
    • 26644468762 scopus 로고
    • Untersuchungen über die Grundlagen der Thermodynamik
    • C. Caratheodory, "Untersuchungen über die Grundlagen der Thermodynamik," Math. Ann., vol. 67, 1909.
    • (1909) Math. Ann. , vol.67
    • Caratheodory, C.1
  • 25
    • 0001445172 scopus 로고
    • Geometrical formulation of equilibrium phenomenological thermodynamics
    • R. Mrugaə, "Geometrical formulation of equilibrium phenomenological thermodynamics," Reports on Mathematical Physics, vol. 14, no. 3, pp. 419-427, 1978.
    • (1978) Reports on Mathematical Physics , vol.14 , Issue.3 , pp. 419-427
    • Mrugaa, R.1
  • 27
    • 0033479202 scopus 로고    scopus 로고
    • On the geometric structure of thermodynamics
    • M. Chen, "On the geometric structure of thermodynamics," Journal of Mathematical Physics, vol. 40, pp. 830-837, 1999.
    • (1999) Journal of Mathematical Physics , vol.40 , pp. 830-837
    • Chen, M.1
  • 28
    • 0347117896 scopus 로고    scopus 로고
    • On a special family of thermodynamic processes and their invariants
    • R. Mrugaə, "On a special family of thermodynamic processes and their invariants," Reports on Mathematical Physics, vol. 46, no. 3, pp. 461-468, 2000.
    • (2000) Reports on Mathematical Physics , vol.46 , Issue.3 , pp. 461-468
    • Mrugaa, R.1
  • 31
    • 0010118308 scopus 로고
    • Submanifolds in the thermodynamic phase space
    • R. Mrugaə, "Submanifolds in the thermodynamic phase space," Reports on Mathematical Physics, vol. 21, pp. 197-203, 1985.
    • (1985) Reports on Mathematical Physics , vol.21 , pp. 197-203
    • Mrugaa, R.1
  • 35
    • 0010187734 scopus 로고
    • Continuous contact transformations in thermodynamics
    • R. Mrugaə, "Continuous contact transformations in thermodynamics," Reports on Mathematical Physics, vol. 33, pp. 149-154, 1993.
    • (1993) Reports on Mathematical Physics , vol.33 , pp. 149-154
    • Mrugaa, R.1
  • 36
    • 0037097467 scopus 로고    scopus 로고
    • Reciprocity relations in thermodynamics
    • M. Grmela, "Reciprocity relations in thermodynamics," Physica A, vol. 309, pp. 304-328, 2002.
    • (2002) Physica A , vol.309 , pp. 304-328
    • Grmela, M.1
  • 39
    • 0036604945 scopus 로고    scopus 로고
    • From irreversible thermodynamics to a robust control theory for distributed process systems
    • A. Alonso, B. Ydstie, and J. Banga, "From irreversible thermodynamics to a robust control theory for distributed process systems," Journal of Process Control, vol. 12, pp. 507-517, 2002.
    • (2002) Journal of Process Control , vol.12 , pp. 507-517
    • Alonso, A.1    Ydstie, B.2    Banga, J.3
  • 40
    • 0000313595 scopus 로고    scopus 로고
    • Dynamics and thermodynamics of complex fluids. I. Development of a general formalism
    • M. Grmela and H. Ö ttinger, "Dynamics and thermodynamics of complex fluids. i. Development of a general formalism," Physical Review E, vol. 56, pp. 6620-6632, 1997.
    • (1997) Physical Review e , vol.56 , pp. 6620-6632
    • Grmela, M.1    ÖTtinger, H.2
  • 41
    • 0034745514 scopus 로고    scopus 로고
    • The matrix model, a driven state variables approach to non-equilibrium thermodynamics
    • R. Jongschaap, "The matrix model, a driven state variables approach to non-equilibrium thermodynamics," Journal of non-Newtonian fluid mechanics, vol. 96, pp. 63-76, 2001.
    • (2001) Journal of Non-Newtonian Fluid Mechanics , vol.96 , pp. 63-76
    • Jongschaap, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.