{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T16:17:22Z","timestamp":1743005842729,"version":"3.40.3"},"publisher-location":"Cham","reference-count":32,"publisher":"Springer Nature Switzerland","isbn-type":[{"type":"print","value":"9783031495540"},{"type":"electronic","value":"9783031495557"}],"license":[{"start":{"date-parts":[[2024,1,1]],"date-time":"2024-01-01T00:00:00Z","timestamp":1704067200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,1,1]],"date-time":"2024-01-01T00:00:00Z","timestamp":1704067200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2024]]},"DOI":"10.1007\/978-3-031-49555-7_2","type":"book-chapter","created":{"date-parts":[[2024,3,20]],"date-time":"2024-03-20T20:02:22Z","timestamp":1710964942000},"page":"7-26","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Contracting Infinite-Gain Margin Feedback and Synchronization of Nonlinear Systems"],"prefix":"10.1007","author":[{"given":"Daniele","family":"Astolfi","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Vincent","family":"Andrieu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2024,3,21]]},"reference":[{"key":"2_CR1","doi-asserted-by":"crossref","unstructured":"Mesbahi, M., Egerstedt, M.: Graph Theoretic Methods in Multiagent Networks. Princeton University Press (2010)","DOI":"10.1515\/9781400835355"},{"issue":"9","key":"2_CR2","doi-asserted-by":"publisher","first-page":"2603","DOI":"10.1016\/j.automatica.2013.05.018","volume":"49","author":"JW Simpson-Porco","year":"2013","unstructured":"Simpson-Porco, J.W., D\u00f6rfler, F., Bullo, F.: Synchronization and power sharing for droop-controlled inverters in islanded microgrids. Automatica 49(9), 2603\u20132611 (2013)","journal-title":"Automatica"},{"issue":"4","key":"2_CR3","doi-asserted-by":"publisher","first-page":"1583","DOI":"10.1109\/TCST.2018.2834878","volume":"27","author":"M Cucuzzella","year":"2018","unstructured":"Cucuzzella, M., Trip, S., De Persis, C., Cheng, X., Ferrara, A., van der Schaft, A.: A robust consensus algorithm for current sharing and voltage regulation in DC microgrids. IEEE Trans. Control Syst. Technol. 27(4), 1583\u20131595 (2018)","journal-title":"IEEE Trans. Control Syst. Technol."},{"key":"2_CR4","doi-asserted-by":"crossref","unstructured":"Scardovi, L., Sepulchrem, R.: Synchronization in networks of identical linear systems. In: 47th IEEE Conference on Decision and Control, pp. 546\u2013551 (2008)","DOI":"10.1109\/CDC.2008.4738875"},{"issue":"1","key":"2_CR5","first-page":"213","volume":"57","author":"Z Li","year":"2009","unstructured":"Li, Z., Duan, Z., Chen, G., Huang, L.: Consensus of multiagent systems and synchronization of complex networks: a unified viewpoint. IEEE Trans. Circuits Syst. I Regul. Papers 57(1), 213\u2013224 (2009)","journal-title":"IEEE Trans. Circuits Syst. I Regul. Papers"},{"key":"2_CR6","doi-asserted-by":"crossref","unstructured":"Isidori, A.: Lectures in Feedback Design for Multivariable Systems. Springer (2017)","DOI":"10.1007\/978-3-319-42031-8"},{"key":"2_CR7","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejcon.2022.100685","volume":"68","author":"M Giaccagli","year":"2022","unstructured":"Giaccagli, M., Andrieu, V., Tarbouriech, S., Astolfi, D.: Infinite gain margin, contraction and optimality: an LMI-based design. Eur. J. Control 68, 100685 (2022)","journal-title":"Eur. J. Control"},{"key":"2_CR8","doi-asserted-by":"crossref","unstructured":"Giaccagli, M., Astolfi, D., Andrieu, V.: Further results on incremental input-to-state stability based on contraction-metric analysis. In: 62th IEEE Conference on Decision and Control (2023)","DOI":"10.1109\/CDC49753.2023.10384172"},{"key":"2_CR9","unstructured":"Sepulchre, R., Jankovic, M., Kokotovic, P.V.: Constructive Nonlinear Control. Springer (2012)"},{"issue":"8","key":"2_CR10","doi-asserted-by":"publisher","first-page":"1380","DOI":"10.1109\/TAC.2007.902733","volume":"52","author":"M Arcak","year":"2007","unstructured":"Arcak, M.: Passivity as a design tool for group coordination. IEEE Trans. Autom. Control 52(8), 1380\u20131390 (2007)","journal-title":"IEEE Trans. Autom. Control"},{"issue":"10","key":"2_CR11","doi-asserted-by":"publisher","first-page":"2515","DOI":"10.1016\/j.automatica.2014.08.033","volume":"50","author":"F Zhang","year":"2014","unstructured":"Zhang, F., Trentelman, H.L., Scherpen, J.M.: Fully distributed robust synchronization of networked Lur\u2019e systems with incremental nonlinearities. Automatica 50(10), 2515\u20132526 (2014)","journal-title":"Automatica"},{"issue":"10","key":"2_CR12","doi-asserted-by":"publisher","first-page":"2680","DOI":"10.1109\/TAC.2014.2326213","volume":"59","author":"A Isidori","year":"2014","unstructured":"Isidori, A., Marconi, L., Casadei, G.: Robust output synchronization of a network of heterogeneous nonlinear agents via nonlinear regulation theory. IEEE Trans. Autom. Control 59(10), 2680\u20132691 (2014)","journal-title":"IEEE Trans. Autom. Control"},{"issue":"6","key":"2_CR13","doi-asserted-by":"publisher","first-page":"1219","DOI":"10.1016\/j.automatica.2011.01.010","volume":"47","author":"M Arcak","year":"2011","unstructured":"Arcak, M.: Certifying spatially uniform behavior in reaction-diffusion PDE and compartmental ODE systems. Automatica 47(6), 1219\u20131229 (2011)","journal-title":"Automatica"},{"issue":"2","key":"2_CR14","doi-asserted-by":"publisher","first-page":"91","DOI":"10.1109\/TNSE.2015.2395075","volume":"1","author":"Z Aminzare","year":"2014","unstructured":"Aminzare, Z., Sontag, E.D.: Synchronization of diffusively-connected nonlinear systems: results based on contractions with respect to general norms. IEEE Trans. Netw. Sci. Eng. 1(2), 91\u2013106 (2014)","journal-title":"IEEE Trans. Netw. Sci. Eng."},{"key":"2_CR15","doi-asserted-by":"crossref","unstructured":"di Bernardo, M., Fiore, D., Russo, G., Scafuti, F.: Convergence, consensus and synchronization of complex networks via contraction theory. In: Complex Systems and Networks: Dynamics, Controls and Applications, pp. 313\u2013339 (2016)","DOI":"10.1007\/978-3-662-47824-0_12"},{"key":"2_CR16","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2021.109596","volume":"129","author":"M Coraggio","year":"2021","unstructured":"Coraggio, M., De Lellis, P., di Bernardo, M.: Convergence and synchronization in networks of piecewise-smooth systems via distributed discontinuous coupling. Automatica 129, 109596 (2021)","journal-title":"Automatica"},{"key":"2_CR17","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2022.110202","volume":"140","author":"A Pavlov","year":"2022","unstructured":"Pavlov, A., Steur, E., van de Wouw, N.: Nonlinear integral coupling for synchronization in networks of nonlinear systems. Automatica 140, 110202 (2022)","journal-title":"Automatica"},{"issue":"7","key":"2_CR18","doi-asserted-by":"publisher","first-page":"1750","DOI":"10.1109\/TAC.2014.2309281","volume":"59","author":"M Andreasson","year":"2014","unstructured":"Andreasson, M., Dimarogonas, D.V., Sandberg, H., Johansson, K.H.: Distributed control of networked dynamical systems: static feedback, integral action and consensus. IEEE Trans. Autom. Control 59(7), 1750\u20131764 (2014)","journal-title":"IEEE Trans. Autom. Control"},{"issue":"8","key":"2_CR19","doi-asserted-by":"publisher","first-page":"3758","DOI":"10.1109\/TAC.2017.2649382","volume":"62","author":"E Panteley","year":"2017","unstructured":"Panteley, E., Lor\u00eda, A.: Synchronization and dynamic consensus of heterogeneous networked systems. IEEE Trans. Autom. Control 62(8), 3758\u20133773 (2017)","journal-title":"IEEE Trans. Autom. Control"},{"issue":"14","key":"2_CR20","doi-asserted-by":"publisher","first-page":"412","DOI":"10.1016\/j.ifacol.2021.10.389","volume":"54","author":"M Giaccagli","year":"2021","unstructured":"Giaccagli, M., Andrieu, V., Astolfi, D., Casadei, G.: Sufficient metric conditions for synchronization of leader-connected homogeneous nonlinear multi-agent systems. IFAC-PapersOnLine 54(14), 412\u2013417 (2021)","journal-title":"IFAC-PapersOnLine"},{"key":"2_CR21","doi-asserted-by":"crossref","unstructured":"Giaccagli, M., Zoboli, S., Astolfi, D., Andrieu, V., Casadei, G.: Synchronization in networks of nonlinear systems: contraction metric analysis and deep-learning for feedback estimation. IEEE Trans. Autom. Control (2024). (under review)","DOI":"10.1109\/TAC.2024.3407015"},{"key":"2_CR22","doi-asserted-by":"crossref","unstructured":"Cellier Devaux, A., Astolfi, D., Andrieu, V.: Edges\u2019 Riemannian energy analysis for synchronization of multi-agent nonlinear systems over undirected weighted graphs. Automatica (2024). (under review)","DOI":"10.1016\/j.automatica.2024.111950"},{"issue":"6","key":"2_CR23","doi-asserted-by":"publisher","first-page":"683","DOI":"10.1016\/S0005-1098(98)00019-3","volume":"34","author":"W Lohmiller","year":"1998","unstructured":"Lohmiller, W., Slotine, J.J.E.: On contraction analysis for non-linear systems. Automatica 34(6), 683\u2013696 (1998)","journal-title":"Automatica"},{"key":"2_CR24","doi-asserted-by":"publisher","first-page":"74","DOI":"10.1016\/j.sysconle.2013.12.016","volume":"65","author":"JW Simpson-Porco","year":"2014","unstructured":"Simpson-Porco, J.W., Bullo, F.: Contraction theory on Riemannian manifolds. Syst. Control Lett. 65, 74\u201380 (2014)","journal-title":"Syst. Control Lett."},{"issue":"11","key":"2_CR25","doi-asserted-by":"publisher","first-page":"3396","DOI":"10.1109\/TAC.2016.2528050","volume":"61","author":"V Andrieu","year":"2016","unstructured":"Andrieu, V., Jayawardhana, B., Praly, L.: Transverse exponential stability and applications. IEEE Trans. Autom. Control 61(11), 3396\u20133411 (2016)","journal-title":"IEEE Trans. Autom. Control"},{"issue":"8","key":"2_CR26","doi-asserted-by":"publisher","first-page":"3682","DOI":"10.1109\/TAC.2020.3036021","volume":"66","author":"V Andrieu","year":"2021","unstructured":"Andrieu, V., Jayawardhana, B., Praly, L.: Characterizations of global transversal exponential stability. IEEE Trans. Autom. Control 66(8), 3682\u20133694 (2021)","journal-title":"IEEE Trans. Autom. Control"},{"issue":"6","key":"2_CR27","doi-asserted-by":"publisher","first-page":"3046","DOI":"10.1109\/TAC.2017.2668380","volume":"62","author":"IR Manchester","year":"2017","unstructured":"Manchester, I.R., Slotine, J.J.E.: Control contraction metrics: convex and intrinsic criteria for nonlinear feedback design. IEEE Trans. Autom. Control 62(6), 3046\u20133053 (2017)","journal-title":"IEEE Trans. Autom. Control"},{"issue":"7","key":"2_CR28","doi-asserted-by":"publisher","first-page":"1709","DOI":"10.1109\/TAC.2011.2179873","volume":"57","author":"RG Sanfelice","year":"2011","unstructured":"Sanfelice, R.G., Praly, L.: Convergence of Nonlinear observers on $$\\mathbb{R}\\mathbb{R} ^{n}$$ with a Riemannian Metric (Part I). IEEE Trans. Autom. Control 57(7), 1709\u20131722 (2011)","journal-title":"IEEE Trans. Autom. Control"},{"key":"2_CR29","doi-asserted-by":"crossref","unstructured":"Sakai, T.: Riemannian Geometry, vol. 149. American Mathematical Society (1996)","DOI":"10.1090\/mmono\/149"},{"key":"2_CR30","doi-asserted-by":"crossref","unstructured":"Godsil, C., Royle, G.F.: Algebraic Graph Theory. Springer Science & Business Media (2001)","DOI":"10.1007\/978-1-4613-0163-9"},{"issue":"3","key":"2_CR31","doi-asserted-by":"publisher","first-page":"410","DOI":"10.1109\/9.989067","volume":"47","author":"D Angeli","year":"2002","unstructured":"Angeli, D.: A Lyapunov approach to incremental stability properties. IEEE Trans. Autom. Control 47(3), 410\u2013421 (2002)","journal-title":"IEEE Trans. Autom. Control"},{"issue":"1","key":"2_CR32","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/BF01211516","volume":"9","author":"L Praly","year":"1996","unstructured":"Praly, L., Wang, Y.: Stabilization in spite of matched unmodeled dynamics and an equivalent definition of input-to-state stability. Math. Control, Signals Syst. 9(1), 1\u201333 (1996)","journal-title":"Math. Control, Signals Syst."}],"container-title":["Lecture Notes in Control and Information Sciences","Hybrid and Networked Dynamical Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-031-49555-7_2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,11,14]],"date-time":"2024-11-14T18:55:47Z","timestamp":1731610547000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-031-49555-7_2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024]]},"ISBN":["9783031495540","9783031495557"],"references-count":32,"URL":"https:\/\/doi.org\/10.1007\/978-3-031-49555-7_2","relation":{},"ISSN":["0170-8643","1610-7411"],"issn-type":[{"type":"print","value":"0170-8643"},{"type":"electronic","value":"1610-7411"}],"subject":[],"published":{"date-parts":[[2024]]},"assertion":[{"value":"21 March 2024","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}