{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T16:19:34Z","timestamp":1772295574502,"version":"3.50.1"},"reference-count":26,"publisher":"Elsevier BV","issue":"6","license":[{"start":{"date-parts":[[2013,12,1]],"date-time":"2013-12-01T00:00:00Z","timestamp":1385856000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/linproxy.fan.workers.dev:443\/https\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["European Journal of Control"],"published-print":{"date-parts":[[2013,12]]},"DOI":"10.1016\/j.ejcon.2013.10.002","type":"journal-article","created":{"date-parts":[[2013,10,10]],"date-time":"2013-10-10T20:24:03Z","timestamp":1381436643000},"page":"521-528","source":"Crossref","is-referenced-by-count":18,"title":["Boundary energy shaping of linear distributed port-Hamiltonian systems"],"prefix":"10.1016","volume":"19","author":[{"given":"Alessandro","family":"Macchelli","sequence":"first","affiliation":[]}],"member":"78","reference":[{"issue":"2","key":"10.1016\/j.ejcon.2013.10.002_bib1","doi-asserted-by":"crossref","first-page":"545","DOI":"10.1512\/iumj.1995.44.2001","article-title":"The rate at which energy decays in a string damped at one end","volume":"44","author":"Cox","year":"1995","journal-title":"Indiana University Mathematics Journal"},{"key":"10.1016\/j.ejcon.2013.10.002_bib2","series-title":"An Introduction to Infinite Dimensional Linear Systems Theory","author":"Curtain","year":"1995"},{"issue":"May (3)","key":"10.1016\/j.ejcon.2013.10.002_bib3","first-page":"286","article-title":"Boundary control of nonlinear distributed parameters port-Hamiltonian models for the shallow water dynamics","volume":"2","author":"Dimofte","year":"2009","journal-title":"International Review of Automatic Control (Theory and Applications)"},{"issue":"5","key":"10.1016\/j.ejcon.2013.10.002_bib4","doi-asserted-by":"crossref","first-page":"1864","DOI":"10.1137\/040611677","article-title":"Dirac structures and boundary control systems associated with skew-symmetric differential operators","volume":"44","author":"Le Gorrec","year":"2005","journal-title":"SIAM Journal on Control and Optimization"},{"key":"10.1016\/j.ejcon.2013.10.002_bib5","series-title":"Stability and Stabilization of Infinite Dimensional Systems with Applications","author":"Luo","year":"1999"},{"issue":"August (8)","key":"10.1016\/j.ejcon.2013.10.002_bib6","doi-asserted-by":"crossref","first-page":"579","DOI":"10.1016\/j.sysconle.2011.04.016","article-title":"Energy shaping of distributed-parameter port-Hamiltonian systems based on finite-element approximation","volume":"60","author":"Macchelli","year":"2011","journal-title":"Systems and Control Letters"},{"key":"10.1016\/j.ejcon.2013.10.002_bib7","series-title":"Proceedings of the Fourth IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control (LHMNLC 2012), August 29\u201331","article-title":"Boundary energy shaping of linear distributed port-Hamiltonian systems","author":"Macchelli","year":"2012"},{"key":"10.1016\/j.ejcon.2013.10.002_bib8","doi-asserted-by":"crossref","unstructured":"A. Macchelli, Asymptotic stability of forced equilibria for distributed port-Hamiltonian systems, in: Proceedings of the 51st IEEE Conference on Decision and Control (CDC 2012), Maui, HI, December 10\u201313, 2012.","DOI":"10.1109\/CDC.2012.6426693"},{"key":"10.1016\/j.ejcon.2013.10.002_bib9","doi-asserted-by":"crossref","unstructured":"A. Macchelli, Dirac structures on Hilbert spaces and boundary control of distributed port-Hamiltonian systems, in: Proceedings of the 1st IFAC Workshop on Control of Systems Governed by Partial Differential Equations (CPDE 2013), Paris, France, September 25\u201327, 2013.","DOI":"10.1016\/j.sysconle.2014.03.005"},{"issue":"2","key":"10.1016\/j.ejcon.2013.10.002_bib10","doi-asserted-by":"crossref","first-page":"743","DOI":"10.1137\/S0363012903429530","article-title":"Modeling and control of the Timoshenko beam. The distributed port Hamiltonian approach","volume":"43","author":"Macchelli","year":"2004","journal-title":"SIAM Journal on Control and Optimization"},{"key":"10.1016\/j.ejcon.2013.10.002_bib11","doi-asserted-by":"crossref","unstructured":"A. Macchelli, B.M. Maschke, Modeling and control of complex physical systems. The Port-Hamiltonian Approach. ch. Infinite-Dimensional Port-Hamiltonian Systems, Springer, 2009. pp. 211\u2013271.","DOI":"10.1007\/978-3-642-03196-0_4"},{"issue":"September\u2013December (3\u20134)","key":"10.1016\/j.ejcon.2013.10.002_bib12","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1080\/13873950412331335243","article-title":"Control by interconnection and energy shaping of the Timoshenko beam","volume":"10","author":"Macchelli","year":"2004","journal-title":"Journal of Mathematical and Computer Modelling of Dynamical Systems MCMDS"},{"issue":"November (11)","key":"10.1016\/j.ejcon.2013.10.002_bib13","doi-asserted-by":"crossref","first-page":"1839","DOI":"10.1109\/TAC.2005.858656","article-title":"Control by interconnection of mixed port Hamiltonian systems","volume":"50","author":"Macchelli","year":"2005","journal-title":"IEEE Transactions on Automatic Control"},{"issue":"August (8)","key":"10.1016\/j.ejcon.2013.10.002_bib14","doi-asserted-by":"crossref","first-page":"1498","DOI":"10.1109\/9.871758","article-title":"Energy-based Lyapunov functions for forced Hamiltonian systems with dissipation","volume":"45","author":"Maschke","year":"2000","journal-title":"IEEE Transactions on Automatic Control"},{"key":"10.1016\/j.ejcon.2013.10.002_bib15","doi-asserted-by":"crossref","unstructured":"R. Ortega, I. Mareels, Energy-balancing passivity-based control, in: Proceedings of the American Control Conference (ACC 2000), vol. 2, 2000, pp. 1265\u20131270.","DOI":"10.1109\/ACC.2000.876703"},{"key":"10.1016\/j.ejcon.2013.10.002_bib16","doi-asserted-by":"crossref","unstructured":"R. Ortega, A.J. van der Schaft, B.M. Maschke, G. Escobar, Energy-shaping of port-controlled Hamiltonian systems by interconnection, in: Proceedings of the 38th IEEE Conference on Decision and Control (CDC 1999), vol. 2, December 1999, pp. 1646\u20131651.","DOI":"10.1109\/CDC.1999.830260"},{"key":"10.1016\/j.ejcon.2013.10.002_bib17","doi-asserted-by":"crossref","unstructured":"R. Ortega, A.J. van der Schaft, I. Mareels, B.M. Maschke, Putting energy back in control, IEEE Control Systems Magazine April (2001) 18\u201333.","DOI":"10.1109\/37.915398"},{"issue":"9","key":"10.1016\/j.ejcon.2013.10.002_bib18","doi-asserted-by":"crossref","first-page":"1421","DOI":"10.1080\/00207170701361273","article-title":"Achievable Casimirs and its implications on control by interconnection of port-Hamiltonian systems","volume":"80","author":"Pasumarthy","year":"2007","journal-title":"International Journal of Control"},{"key":"10.1016\/j.ejcon.2013.10.002_bib19","doi-asserted-by":"crossref","unstructured":"H. Rodriguez, A. J. van der Schaft, R. Ortega, On stabilization of nonlinear distributed parameter port-controlled Hamiltonian systems via energy shaping, in: Proceedings of the 40th IEEE Conference on Decision and Control (CDC 2001), vol. 1, December 2001, pp. 131\u2013136.","DOI":"10.1109\/CDC.2001.980086"},{"issue":"1\u20132","key":"10.1016\/j.ejcon.2013.10.002_bib20","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1007\/s00707-011-0510-2","article-title":"Port-Hamiltonian modelling and energy-based control of the Timoshenko beam","volume":"222","author":"Siuka","year":"2011","journal-title":"Acta Mechanica"},{"key":"10.1016\/j.ejcon.2013.10.002_bib21","series-title":"Introduction to Hamiltonian Fluid Dynamics and Stability Theory","author":"Swaters","year":"2000"},{"key":"10.1016\/j.ejcon.2013.10.002_bib22","doi-asserted-by":"crossref","unstructured":"A.J. van der Schaft, L2-Gain and Passivity Techniques in Nonlinear Control, Communication and Control Engineering, Springer-Verlag, 2000.","DOI":"10.1007\/978-1-4471-0507-7"},{"key":"10.1016\/j.ejcon.2013.10.002_bib23","doi-asserted-by":"crossref","unstructured":"A.J. van der Schaft, Modeling and control of complex physical systems. The Port-Hamiltonian Approach. ch. Port-Hamiltonian Systems, Springer, 2009. pp. 53\u2013130.","DOI":"10.1007\/978-3-642-03196-0_2"},{"issue":"May (1\u20132)","key":"10.1016\/j.ejcon.2013.10.002_bib24","doi-asserted-by":"crossref","first-page":"166","DOI":"10.1016\/S0393-0440(01)00083-3","article-title":"Hamiltonian formulation of distributed parameter systems with boundary energy flow","volume":"42","author":"van der Schaft","year":"2002","journal-title":"Journal of Geometry and Physics"},{"issue":"January (1)","key":"10.1016\/j.ejcon.2013.10.002_bib25","doi-asserted-by":"crossref","first-page":"142","DOI":"10.1109\/TAC.2008.2007176","article-title":"Exponential stability of a class of boundary control systems","volume":"54","author":"Villegas","year":"2009","journal-title":"IEEE Transactions on Automatic Control"},{"key":"10.1016\/j.ejcon.2013.10.002_bib26","doi-asserted-by":"crossref","unstructured":"J.A. Villegas, H. Zwart, Y. Le Gorrec, B.M. Maschke, A.J. van der Schaft, Stability and stabilization of a class of boundary control systems, in: Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC 2005), December 12\u201315, 2005, pp. 3850\u20133855.","DOI":"10.1109\/CDC.2005.1582762"}],"container-title":["European Journal of Control"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/linproxy.fan.workers.dev:443\/https\/api.elsevier.com\/content\/article\/PII:S0947358013001659?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/linproxy.fan.workers.dev:443\/https\/api.elsevier.com\/content\/article\/PII:S0947358013001659?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2025,4,30]],"date-time":"2025-04-30T16:28:15Z","timestamp":1746030495000},"score":1,"resource":{"primary":{"URL":"https:\/\/linproxy.fan.workers.dev:443\/https\/linkinghub.elsevier.com\/retrieve\/pii\/S0947358013001659"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,12]]},"references-count":26,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2013,12]]}},"alternative-id":["S0947358013001659"],"URL":"https:\/\/linproxy.fan.workers.dev:443\/https\/doi.org\/10.1016\/j.ejcon.2013.10.002","relation":{},"ISSN":["0947-3580"],"issn-type":[{"value":"0947-3580","type":"print"}],"subject":[],"published":{"date-parts":[[2013,12]]}}}