{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,8]],"date-time":"2026-02-08T19:25:34Z","timestamp":1770578734667,"version":"3.49.0"},"reference-count":35,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"6","license":[{"start":{"date-parts":[[2017,6,1]],"date-time":"2017-06-01T00:00:00Z","timestamp":1496275200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"funder":[{"DOI":"10.13039\/501100003246","name":"NWO (Netherlands Organisation for Scientific Research)","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100003246","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Uncertainty Reduction in Smart Energy Systems (URSES)"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Automat. Contr."],"published-print":{"date-parts":[[2017,6]]},"DOI":"10.1109\/tac.2016.2613901","type":"journal-article","created":{"date-parts":[[2016,9,27]],"date-time":"2016-09-27T14:37:37Z","timestamp":1474987057000},"page":"2612-2622","source":"Crossref","is-referenced-by-count":131,"title":["A Unifying Energy-Based Approach to Stability of Power Grids With Market Dynamics"],"prefix":"10.1109","volume":"62","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0275-811X","authenticated-orcid":false,"given":"Tjerk","family":"Stegink","sequence":"first","affiliation":[]},{"given":"Claudio","family":"De Persis","sequence":"additional","affiliation":[]},{"given":"Arjan","family":"van der Schaft","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1561\/2200000016"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2011.6161503"},{"key":"ref31","article-title":"Saddle-point dynamics: Conditions for asymptotic stability of saddle points","author":"cherukuri","year":"2015","journal-title":"arXiv Preprint arXiv 1510 02145"},{"key":"ref30","volume":"3","author":"rudin","year":"1964","journal-title":"Principles of Mathematical Analysis"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2016.7798892"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1007\/BF00934777"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/ACC.2014.6859060"},{"key":"ref11","article-title":"Distributed frequency-preserving optimal load control","author":"mallada","year":"0","journal-title":"IFAC World Congr"},{"key":"ref12","article-title":"Reverse and forward engineering of frequency control in power networks","author":"seungil","year":"0","journal-title":"Proc IEEE Conf Decision and Control"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/PESGM.2015.7286222"},{"key":"ref14","first-page":"5062","article-title":"A real-time control framework for smart power networks with star topology","author":"zhang","year":"0","journal-title":"Proc IEEE American Control Conf (ACC)"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2015.05.003"},{"key":"ref16","first-page":"1","article-title":"Distributed generator and load-side secondary frequency control in power networks","author":"zhao","year":"0","journal-title":"Proc IEEE 49th Annu Conf Inf Sci Syst (CISS)"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/ALLERTON.2014.7028527"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/ACC.2014.6858966"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2014.2298140"},{"key":"ref28","article-title":"A modular design of incremental Lyapunov functions for microgrid control with power sharing","author":"de persis","year":"2015","journal-title":"arXiv preprint arXiv 1510 05811"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2010.5718173"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1561\/2600000002"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2012.6426294"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2015.11.021"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511804441"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/59.962415"},{"key":"ref8","doi-asserted-by":"crossref","first-page":"1974","DOI":"10.1016\/j.automatica.2010.08.011","article-title":"Stability of primal-dual gradient dynamics and applications to network optimization","volume":"46","author":"feijer","year":"2010","journal-title":"Automatica"},{"key":"ref7","author":"arrow","year":"1958","journal-title":"Studies in Linear and Non-linear Programming"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2010.5717141"},{"key":"ref9","doi-asserted-by":"crossref","first-page":"2250","DOI":"10.1109\/TAC.2009.2026856","article-title":"On constrained steady-state regulation: Dynamic KKT controllers","volume":"54","author":"joki?","year":"2009","journal-title":"IEEE Trans Autom Control"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/59.761873"},{"key":"ref20","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1016\/j.ifacol.2015.10.207","article-title":"Port-Hamiltonian formulation of the gradient method applied to smart grids","volume":"48","author":"stegink","year":"2015","journal-title":"IFAC-PapersOnLine"},{"key":"ref22","author":"machowski","year":"2008","journal-title":"Power System Dynamic Stability and Control"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2015.7402703"},{"key":"ref24","author":"sauer","year":"1998","journal-title":"Power System Dynamics and Stability"},{"key":"ref23","author":"kundur","year":"1993","journal-title":"Power System Stability and Control"},{"key":"ref26","author":"anderson","year":"1977","journal-title":"Power System Control and Stability"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2015.10.006"}],"container-title":["IEEE Transactions on Automatic Control"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/9\/7934112\/07577841.pdf?arnumber=7577841","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,1,12]],"date-time":"2022-01-12T11:40:22Z","timestamp":1641987622000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/7577841\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,6]]},"references-count":35,"journal-issue":{"issue":"6"},"URL":"https:\/\/doi.org\/10.1109\/tac.2016.2613901","relation":{},"ISSN":["0018-9286","1558-2523"],"issn-type":[{"value":"0018-9286","type":"print"},{"value":"1558-2523","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,6]]}}}