{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,1,5]],"date-time":"2024-01-05T16:07:03Z","timestamp":1704470823093},"reference-count":31,"publisher":"Oxford University Press (OUP)","issue":"2","license":[{"start":{"date-parts":[[2017,12,26]],"date-time":"2017-12-26T00:00:00Z","timestamp":1514246400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2019,6,20]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>It is well documented that shaping the energy of finite-dimensional port-Hamiltonian systems by interconnection is severely restricted due to the presence of dissipation. This phenomenon is usually referred to as the dissipation obstacle. In this paper, we show the existence of dissipation obstacle in infinite dimensional systems. Motivated by this, we present the Brayton\u2013Moser formulation, together with its equivalent Dirac structure. Analogous to finite dimensional systems, identifying the underlying gradient structure is crucial in presenting the stability analysis. We elucidate this through an example of Maxwell\u2019s equations with zero energy flows through the boundary. In the case of mixed-finite and infinite-dimensional systems, we find admissible pairs for all the subsystems while preserving the overall structure. We illustrate this using a transmission line system interconnected to finite dimensional systems through its boundary. This ultimately leads to a new passive map, using this we solve a boundary control problem, circumventing the dissipation obstacle.<\/jats:p>","DOI":"10.1093\/imamci\/dnx057","type":"journal-article","created":{"date-parts":[[2017,11,24]],"date-time":"2017-11-24T15:11:52Z","timestamp":1511536312000},"page":"485-513","source":"Crossref","is-referenced-by-count":2,"title":["Modeling and boundary control of infinite dimensional systems in the Brayton\u2013Moser framework"],"prefix":"10.1093","volume":"36","author":[{"given":"Krishna","family":"Chaitanya Kosaraju","sequence":"first","affiliation":[{"name":"Electrical Engineering Department, IIT-madras, Chennai, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ramkrishna","family":"Pasumarthy","sequence":"additional","affiliation":[{"name":"Electrical Engineering Department, IIT-madras, Chennai, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dimitri","family":"Jeltsema","sequence":"additional","affiliation":[{"name":"HAN University of Applied Sciences, Arnhem, The Netherlands"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"286","published-online":{"date-parts":[[2017,12,26]]},"reference":[{"key":"2019122505174545200_C1","volume-title":"Manifolds, Tensor Analysis, and Applications","author":"Abraham","year":"2012"},{"key":"2019122505174545200_C2","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1016\/S1474-6670(17)38866-3","article-title":"A joined geometric structure for hamiltonian and gradient control systems","volume":"36","author":"Blankenstein","year":"2003","journal-title":"IFAC Proc. 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