{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T12:37:42Z","timestamp":1740141462957,"version":"3.37.3"},"reference-count":26,"publisher":"Oxford University Press (OUP)","license":[{"start":{"date-parts":[[2018,11,1]],"date-time":"2018-11-01T00:00:00Z","timestamp":1541030400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"funder":[{"DOI":"10.13039\/501100002848","name":"Comisi\u00f3n Nacional de Investigaci\u00f3n Cient\u00edfica y Tecnol\u00f3gica","doi-asserted-by":"publisher","award":["FB0809"],"award-info":[{"award-number":["FB0809"]}],"id":[{"id":"10.13039\/501100002848","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002850","name":"Fondo Nacional de Desarrollo Cient\u00edfico y Tecnol\u00f3gico","doi-asserted-by":"publisher","award":["1150488"],"award-info":[{"award-number":["1150488"]}],"id":[{"id":"10.13039\/501100002850","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"DOI":"10.1093\/imamci\/dny043","type":"journal-article","created":{"date-parts":[[2018,10,5]],"date-time":"2018-10-05T19:40:59Z","timestamp":1538768459000},"source":"Crossref","is-referenced-by-count":4,"title":["A dissipative approach to the stability of multi-order fractional systems"],"prefix":"10.1093","author":[{"given":"Javier A","family":"Gallegos","sequence":"first","affiliation":[{"name":"Department of Electrical Engineering, University of Chile, Av. Tupper, Santiago, Chile"}]},{"given":"Manuel A","family":"Duarte-Mermoud","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering, University of Chile, Av. Tupper, Santiago, Chile"},{"name":"Advanced Mining Technology Center, University of Chile, Av. Tupper, Santiago, Chile"}]}],"member":"286","published-online":{"date-parts":[[2018,11,1]]},"reference":[{"key":"key\n\t\t\t\t2019012509155022200_ref1","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1090\/S0033-569X-2015-01386-2","article-title":"Maximum principle for certain generalized time and space fractional diffusion equations","volume":"73","author":"Alsaedi","year":"2015","journal-title":"Quart. Appl. Math"},{"key":"key\n\t\t\t\t2019012509155022200_ref2","doi-asserted-by":"crossref","first-page":"1380","DOI":"10.1109\/TAC.2007.902733","article-title":"Passivity as a design tool for group coordination","volume":"52","author":"Arcak","year":"2007","journal-title":"IEEE Trans. Automat. Control"},{"key":"key\n\t\t\t\t2019012509155022200_ref3","doi-asserted-by":"crossref","DOI":"10.1142\/10044","volume-title":"Fractional Calculus: Models and Numerical Methods","author":"Baleanu","year":"2016"},{"key":"key\n\t\t\t\t2019012509155022200_ref4","doi-asserted-by":"crossref","DOI":"10.1142\/7709","volume-title":"Fractional Order Systems: Modeling and Control Applications","author":"Caponetto","year":"2010"},{"key":"key\n\t\t\t\t2019012509155022200_ref5","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1007\/978-3-540-37347-6_6","article-title":"Passivity-based control of multi-agent systems","volume-title":"Advances in Robot Control","author":"Chopra","year":"2006"},{"volume-title":"Feedback Systems: Input-Output Properties","year":"1975","author":"Desoer","key":"key\n\t\t\t\t2019012509155022200_ref6"},{"article-title":"The Analysis of Fractional Differential Equations. An Application-Oriented Exposition Using Differential Operators of Caputo Type. Lecture Notes in Mathematics, 2004","year":"2010","author":"Diethelm","key":"key\n\t\t\t\t2019012509155022200_ref7"},{"key":"key\n\t\t\t\t2019012509155022200_ref8","doi-asserted-by":"crossref","first-page":"613","DOI":"10.1007\/s11071-012-0475-2","article-title":"A fractional calculus based model for the simulation of an outbreak of dengue fever","volume":"71","author":"Diethelm","year":"2013","journal-title":"Nonlinear Dynam."},{"key":"key\n\t\t\t\t2019012509155022200_ref9","doi-asserted-by":"crossref","first-page":"7","DOI":"10.1016\/j.sysconle.2015.07.004","article-title":"On fractional extensions of Barbalat Lemma","volume":"84","author":"Gallegos","year":"2015","journal-title":"Syst. Control Lett."},{"key":"key\n\t\t\t\t2019012509155022200_ref10","first-page":"815","article-title":"Boundedness and convergence on fractional order systems","volume-title":"J. Comput. Appl. Math.","author":"Gallegos","year":"2016"},{"key":"key\n\t\t\t\t2019012509155022200_ref11","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1016\/j.amc.2016.04.039","article-title":"On the Lyapunov Theory for fractional order systems","volume":"287","author":"Gallegos","year":"2016","journal-title":"Appl. Math. Comput."},{"journal-title":"J. Franklin Inst.","article-title":"Mixed order robust adaptive control for general linear time invariant systems.","author":"Gallegos","key":"key\n\t\t\t\t2019012509155022200_ref12"},{"key":"key\n\t\t\t\t2019012509155022200_ref13","article-title":"Smooth solutions to mixed-order fractional differential systems with applications to stability analysis","author":"Gallegos","year":"2018","journal-title":"J. Integral Equations Appl."},{"key":"key\n\t\t\t\t2019012509155022200_ref14","doi-asserted-by":"crossref","first-page":"3676","DOI":"10.1109\/TAC.2016.2528824","article-title":"Large-scale dissipative and passive control systems and the role of star and cyclic symmetries","volume":"61","author":"Ghanbari","year":"2016","journal-title":"IEEE Trans. Automat. Contr."},{"key":"key\n\t\t\t\t2019012509155022200_ref15","doi-asserted-by":"crossref","first-page":"931","DOI":"10.1109\/TAC.1980.1102463","article-title":"Connections between finite-gain and asymptotic stability","volume":"AC-25","author":"Hill","year":"1980","journal-title":"IEEE Trans. Automat. Contr."},{"volume-title":"Nonlinear Systems","year":"1996","author":"Khalil","key":"key\n\t\t\t\t2019012509155022200_ref16"},{"key":"key\n\t\t\t\t2019012509155022200_ref17","unstructured":"Kilbas, A. A., Srivastava, H. M. & Trujillo, J. J. (2006) Theory and applications of fractional differential equations, In North-Holland Mathematics Studies, 204. Amsterdam: Elsevier Science B.V."},{"key":"key\n\t\t\t\t2019012509155022200_ref18","doi-asserted-by":"crossref","first-page":"649","DOI":"10.1109\/TCST.2012.2189211","article-title":"Design of networked control systems using passivity","volume":"21","author":"Kottenstette","year":"2013","journal-title":"IEEE Trans. Control Syst. Technol."},{"key":"key\n\t\t\t\t2019012509155022200_ref19","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1109\/TAC.1978.1101721","article-title":"Stability criteria for large-scale systems","volume":"AC-23","author":"Moylan","year":"1978","journal-title":"IEEE Trans. Automat. Control"},{"volume-title":"Fractional Differential Equations","year":"1999","author":"Podlubny","key":"key\n\t\t\t\t2019012509155022200_ref20"},{"article-title":"On passivity of fractional order systems","year":"2017","author":"Rakhshan","key":"key\n\t\t\t\t2019012509155022200_ref21"},{"key":"key\n\t\t\t\t2019012509155022200_ref22","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-3108-8","volume-title":"Nonlinear Systems: Analysis, Stability, and Control","author":"Sastry","year":"1999"},{"key":"key\n\t\t\t\t2019012509155022200_ref23","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4471-0507-7","volume-title":"L2-Gain and Passivity Techniques in Nonlinear Control","author":"van der Schaft","year":"2000"},{"key":"key\n\t\t\t\t2019012509155022200_ref24","article-title":"Stability of fractional-order nonlinear systems by Lyapunov direct method","volume-title":"IET Control Theory Appl.,","author":"Tuan","year":"2017"},{"key":"key\n\t\t\t\t2019012509155022200_ref25","doi-asserted-by":"crossref","first-page":"321","DOI":"10.1007\/BF00276493","article-title":"Dissipative dynamical systems. Part I: General theory","volume":"45","author":"Willems","year":"1972","journal-title":"Arch. Ration. Mechan. Anal."},{"key":"key\n\t\t\t\t2019012509155022200_ref26","doi-asserted-by":"crossref","first-page":"352","DOI":"10.1007\/BF00276494","article-title":"Dissipative dynamical system. Part II: Linear systems with quadratic supply rates","volume":"45","author":"Willems","year":"1972","journal-title":"Arch. Rational Mech. Anal"}],"container-title":["IMA Journal of Mathematical Control and Information"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/academic.oup.com\/imamci\/advance-article-pdf\/doi\/10.1093\/imamci\/dny043\/26260538\/dny043.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,9,3]],"date-time":"2022-09-03T11:54:50Z","timestamp":1662206090000},"score":1,"resource":{"primary":{"URL":"https:\/\/academic.oup.com\/imamci\/advance-article\/doi\/10.1093\/imamci\/dny043\/5148144"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,11,1]]},"references-count":26,"URL":"https:\/\/doi.org\/10.1093\/imamci\/dny043","relation":{},"ISSN":["0265-0754","1471-6887"],"issn-type":[{"type":"print","value":"0265-0754"},{"type":"electronic","value":"1471-6887"}],"subject":[],"published":{"date-parts":[[2018,11,1]]}}}