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A typical situation is when (part of) the system is obtained from the spatial discretization of an infinite dimensional port-Hamiltonian system: in this case, the dynamics is not given in standard input-state-output form but as a set of DAEs. Consequently, the most popular control by energy-shaping techniques have to be extended to deal with dynamical systems with constraints, and geometrical conditions for the existence of the regulator based on the properties of Dirac and resistive structures of the plant are also necessary. The methodological results are discussed with the help of simple but illustrative examples in which the port-Hamiltonian systems in implicit form are the finite-element models of a lossless transmission line and of a Timoshenko beam.<\/jats:p>","DOI":"10.1137\/130918228","type":"journal-article","created":{"date-parts":[[2014,7,29]],"date-time":"2014-07-29T12:57:10Z","timestamp":1406638630000},"page":"2422-2448","source":"Crossref","is-referenced-by-count":18,"title":["Passivity-Based Control of Implicit Port-Hamiltonian Systems"],"prefix":"10.1137","volume":"52","author":[{"given":"Alessandro","family":"Macchelli","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2014,7,29]]},"reference":[{"key":"atypb1","first-page":"61","author":"Bassi L.","year":"2007","journal-title":"Berlin"},{"key":"atypb2","first-page":"5199","author":"Batlle C.","year":"2011","journal-title":"Orlando, FL"},{"key":"atypb3","doi-asserted-by":"crossref","unstructured":"G. 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