{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,13]],"date-time":"2026-01-13T05:29:13Z","timestamp":1768282153797,"version":"3.49.0"},"publisher-location":"Cham","reference-count":25,"publisher":"Springer International Publishing","isbn-type":[{"value":"9783030269791","type":"print"},{"value":"9783030269807","type":"electronic"}],"license":[{"start":{"date-parts":[[2019,1,1]],"date-time":"2019-01-01T00:00:00Z","timestamp":1546300800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2019]]},"DOI":"10.1007\/978-3-030-26980-7_24","type":"book-chapter","created":{"date-parts":[[2019,8,18]],"date-time":"2019-08-18T23:03:04Z","timestamp":1566169384000},"page":"228-238","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["About Some System-Theoretic Properties of Port-Thermodynamic Systems"],"prefix":"10.1007","author":[{"given":"Arjan","family":"van der Schaft","sequence":"first","affiliation":[]},{"given":"Bernhard","family":"Maschke","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,8,2]]},"reference":[{"key":"24_CR1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-2063-1","volume-title":"Mathematical Methods of Classical Mechanics","author":"V Arnold","year":"1989","unstructured":"Arnold, V.: Mathematical Methods of Classical Mechanics, 2nd edn. Springer, New York (1989). https:\/\/doi.org\/10.1007\/978-1-4757-2063-1","edition":"2"},{"issue":"2","key":"24_CR2","doi-asserted-by":"publisher","first-page":"269","DOI":"10.1007\/s100510170202","volume":"21","author":"R Balian","year":"2001","unstructured":"Balian, R., Valentin, P.: Hamiltonian structure of thermodynamics with gauge. Eur. Phys. J. B-Condens. Matter Complex Syst. 21(2), 269\u2013282 (2001)","journal-title":"Eur. Phys. J. B-Condens. Matter Complex Syst."},{"issue":"37","key":"24_CR3","doi-asserted-by":"publisher","first-page":"201","DOI":"10.1088\/1751-8121\/aad4ba","volume":"51","author":"M Barbero-Lin\u00e0n","year":"2018","unstructured":"Barbero-Lin\u00e0n, M., Cendra, H., Andr\u00e9s, E.G.T., de Diego, D.M.: New insights in the geometry and interconnection of port-Hamiltonian systems. J. Phys. A Math. Theor. 51(37), 201\u2013375 (2018)","journal-title":"J. Phys. A Math. Theor."},{"issue":"4","key":"24_CR4","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s00498-018-0223-3","volume":"30","author":"C Beattie","year":"2018","unstructured":"Beattie, C., Mehrmann, V., Xu, H., Zwart, H.: Port-Hamiltonian descriptor systems. Math. Control, Signals, Syst. 30(4), 1\u201327 (2018)","journal-title":"Math. Control, Signals, Syst."},{"issue":"2","key":"24_CR5","doi-asserted-by":"publisher","first-page":"175","DOI":"10.1016\/S0034-4877(07)00024-9","volume":"60","author":"D Eberard","year":"2007","unstructured":"Eberard, D., Maschke, B., van der Schaft, A.: An extension of Hamiltonian systems to the thermodynamic space: towards a geometry of non-equilibrium Thermodynamics. Rep. Math. Phys. 60(2), 175\u2013198 (2007)","journal-title":"Rep. Math. Phys."},{"key":"24_CR6","doi-asserted-by":"publisher","first-page":"5204","DOI":"10.1016\/j.ces.2010.06.019","volume":"65","author":"A Favache","year":"2010","unstructured":"Favache, A., Dochain, D., Maschke, B.M.: An entropy-based formulation of irreversible processes based on contact structures. Chem. Eng. Sci. 65, 5204\u20135216 (2010)","journal-title":"Chem. Eng. Sci."},{"key":"24_CR7","doi-asserted-by":"publisher","first-page":"304","DOI":"10.1016\/S0378-4371(02)00564-2","volume":"309","author":"M Grmela","year":"2002","unstructured":"Grmela, M.: Reciprocity relations in thermodynamics. Phys. A 309, 304\u2013328 (2002)","journal-title":"Phys. A"},{"issue":"3","key":"24_CR8","doi-asserted-by":"publisher","first-page":"1652","DOI":"10.3390\/e16031652","volume":"16","author":"M Grmela","year":"2014","unstructured":"Grmela, M.: Contact geometry of mesoscopic thermodynamics and dynamics. Entropy 16(3), 1652 (2014)","journal-title":"Entropy"},{"key":"24_CR9","volume-title":"Geometry, Physics and Systems","author":"R Hermann","year":"1973","unstructured":"Hermann, R.: Geometry, Physics and Systems. Dekker, New-York (1973)"},{"key":"24_CR10","doi-asserted-by":"publisher","first-page":"183","DOI":"10.1088\/0508-3443\/2\/7\/302","volume":"2","author":"JH Keenan","year":"1952","unstructured":"Keenan, J.H.: Availability and irreversibility in thermodynamics. Br. J. Appl. Phys. 2, 183 (1952)","journal-title":"Br. J. Appl. Phys."},{"key":"24_CR11","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-009-3807-6","volume-title":"Symplectic Geometry and Analytical Mechanics","author":"P Libermann","year":"1987","unstructured":"Libermann, P., Marle, C.M.: Symplectic Geometry and Analytical Mechanics. D. Reidel Publishing Company, Dordrecht (1987)"},{"key":"24_CR12","unstructured":"Maschke, B., van der Schaft, A.: Port-controlled Hamiltonian systems: modelling origins and system theoretic properties. In: Proceedings 2nd IFAC Symposium on Nonlinear Control Systems (NOLCOS92), Fliess, M. (Ed.) pp. 282\u2013288. Bordeaux, France (1992)"},{"key":"24_CR13","doi-asserted-by":"crossref","unstructured":"Maschke, B., van der Schaft, A.: Homogeneous Hamiltonian control systems, Part II: Applications to thermodynamic systems. In: 6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control (LHMNC), IFACPapersOnLine, 51(3), pp. 7\u201312 (2018)","DOI":"10.1016\/j.ifacol.2018.06.002"},{"issue":"6","key":"24_CR14","doi-asserted-by":"publisher","first-page":"779","DOI":"10.1007\/s00161-012-0277-2","volume":"25","author":"J Merker","year":"2013","unstructured":"Merker, J., Kr\u00fcger, M.: On a variational principle in thermodynamics. Continuum Mech. Thermodyn. 25(6), 779\u2013793 (2013)","journal-title":"Continuum Mech. Thermodyn."},{"issue":"3","key":"24_CR15","doi-asserted-by":"publisher","first-page":"419","DOI":"10.1016\/0034-4877(78)90010-1","volume":"14","author":"R Mruga\u0142a","year":"1978","unstructured":"Mruga\u0142a, R.: Geometrical formulation of equilibrium phenomenological thermodynamics. Rep. Math. Phys. 14(3), 419\u2013427 (1978)","journal-title":"Rep. Math. Phys."},{"issue":"1\/2","key":"24_CR16","doi-asserted-by":"publisher","first-page":"149","DOI":"10.1016\/0034-4877(93)90050-O","volume":"33","author":"R Mruga\u0142a","year":"1993","unstructured":"Mruga\u0142a, R.: Continuous contact transformations in thermodynamics. Rep. Math. Phys. 33(1\/2), 149\u2013154 (1993)","journal-title":"Rep. Math. Phys."},{"issue":"3","key":"24_CR17","doi-asserted-by":"publisher","first-page":"461","DOI":"10.1016\/S0034-4877(00)90012-0","volume":"46","author":"R Mruga\u0142a","year":"2000","unstructured":"Mruga\u0142a, R.: On a special family of thermodynamic processes and their invariants. Rep. Math. Phys. 46(3), 461\u2013468 (2000)","journal-title":"Rep. Math. Phys."},{"key":"24_CR18","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-2101-0","volume-title":"Nonlinear Dynamical Control Systems","author":"H Nijmeijer","year":"1990","unstructured":"Nijmeijer, H., van der Schaft, A.J.: Nonlinear Dynamical Control Systems. Springer-Verlag, New York (1990). https:\/\/doi.org\/10.1007\/978-1-4757-2101-0. Corrected printing 2016"},{"key":"24_CR19","doi-asserted-by":"publisher","first-page":"223","DOI":"10.1016\/j.ces.2012.12.002","volume":"89","author":"H Ramirez","year":"2013","unstructured":"Ramirez, H., Maschke, B., Sbarbaro, D.: Irreversible port-Hamiltonian systems: a general formulation of irreversible processes with application to the CSTR. Chem. Eng. Sci. 89, 223\u2013234 (2013)","journal-title":"Chem. Eng. Sci."},{"key":"24_CR20","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-49992-5","volume-title":"L2-Gain and Passivity Techniques in Nonlinear Control","author":"AJ van der Schaft","year":"2017","unstructured":"van der Schaft, A.J.: L2-Gain and Passivity Techniques in Nonlinear Control. Springer-Verlag, Berlin (2017). https:\/\/doi.org\/10.1007\/978-3-319-49992-5"},{"key":"24_CR21","doi-asserted-by":"publisher","first-page":"31","DOI":"10.1016\/j.sysconle.2018.09.008","volume":"121","author":"A van der Schaft","year":"2018","unstructured":"van der Schaft, A., Maschke, B.: Generalized port-Hamiltonian DAE systems. Syst. Control Lett. 121, 31\u201337 (2018)","journal-title":"Syst. Control Lett."},{"issue":"12","key":"24_CR22","doi-asserted-by":"publisher","first-page":"925","DOI":"10.3390\/e20120925","volume":"20","author":"A van der Schaft","year":"2018","unstructured":"van der Schaft, A., Maschke, B.: Geometry of thermodynamic processes. Entropy 20(12), 925 (2018)","journal-title":"Entropy"},{"key":"24_CR23","doi-asserted-by":"crossref","unstructured":"van der Schaft, A., Maschke, B.: Homogeneous Hamiltonian control systems Part I: Geometric formulation. In: 6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control (LHMNC), IFACPapersOnLine, 51(3), pp. 1\u20136 (2018)","DOI":"10.1016\/j.ifacol.2018.06.001"},{"issue":"5","key":"24_CR24","doi-asserted-by":"publisher","first-page":"321","DOI":"10.1007\/BF00276493","volume":"45","author":"JC Willems","year":"1972","unstructured":"Willems, J.C.: Dissipative dynamical systems Part I: general theory. Arch. Rat. Mech. Anal. 45(5), 321\u2013351 (1972)","journal-title":"Arch. Rat. Mech. Anal."},{"key":"24_CR25","doi-asserted-by":"publisher","first-page":"253","DOI":"10.1016\/S0167-6911(97)00023-6","volume":"30","author":"E Ydstie","year":"1997","unstructured":"Ydstie, E., Alonso, A.: Process systems and passivity via the Clausius-Planck inequality. Syst. Control Lett. 30, 253\u2013264 (1997)","journal-title":"Syst. Control Lett."}],"container-title":["Lecture Notes in Computer Science","Geometric Science of Information"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-26980-7_24","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,3,12]],"date-time":"2024-03-12T18:03:55Z","timestamp":1710266635000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-030-26980-7_24"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019]]},"ISBN":["9783030269791","9783030269807"],"references-count":25,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-26980-7_24","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019]]},"assertion":[{"value":"2 August 2019","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"GSI","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Geometric Science of Information","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Toulouse","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"France","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2019","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"27 August 2019","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"29 August 2019","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"4","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"gsi2019","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/www.see.asso.fr\/GSI2019","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}