{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,20]],"date-time":"2026-07-20T18:22:43Z","timestamp":1784571763793,"version":"3.55.0"},"reference-count":54,"publisher":"IEEE","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2014,12]]},"DOI":"10.1109\/cdc.2014.7039986","type":"proceedings-article","created":{"date-parts":[[2015,2,17]],"date-time":"2015-02-17T19:53:59Z","timestamp":1424202839000},"page":"3835-3847","source":"Crossref","is-referenced-by-count":125,"title":["Contraction methods for nonlinear systems: A brief introduction and some open problems"],"prefix":"10.1109","author":[{"given":"Zahra","family":"Aminzare","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Eduardo D.","family":"Sontagy","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"263","reference":[{"key":"ref39","article-title":"Error estimate for numerical integration of ordinary differential equations. I","author":"lozinskii","year":"1959","journal-title":"lzv Vtssh Uchebn Zaved Mat 5 222&#x2013;222"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1137\/0712055"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1007\/BF00289234"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1098\/rstb.1952.0012"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2014.7040342"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1109\/TCSII.2008.2011611"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898719147"},{"key":"ref36","author":"murray","year":"2002","journal-title":"Mathematical Biology I II An Introduction"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1021\/i160030a020"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1016\/0079-6107(82)90019-0"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2011.01.010"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2014.7039618"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1080\/00207170500130952"},{"key":"ref2","author":"desoer","year":"2009"},{"key":"ref1","author":"michel","year":"2007","journal-title":"Stability of Dynamical Systems Continuous Discontinuous and Discrete Systems"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2013.2285771"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2013.6760821"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2013.12.016"},{"key":"ref24","doi-asserted-by":"crossref","DOI":"10.1109\/CDC.2014.7039987","article-title":"A differential view of systems, through the nonlinear pendulum example","author":"forni","year":"2014","journal-title":"Proc IEEE Conf Decision and Control Los Angeles Dec 2014"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2013.6760822"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pone.0096039"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/9.989067"},{"key":"ref50","first-page":"1-44.23","article-title":"Input-output stability","author":"teel","year":"2011","journal-title":"The Control Systems Handbook Control System Advanced Methods Second Edition"},{"key":"ref51","author":"smith","year":"1995","journal-title":"Monotone Dynamical Systems an Introduction to the Theory of Competitive and Cooperative Systems"},{"key":"ref54","first-page":"57","article-title":"Current problems in pattern formation","volume":"9","author":"othmer","year":"1977","journal-title":"Some Mathematical Questions in Biology VIII Lectures on Math in the Life Sciences"},{"key":"ref53","article-title":"Guaranteeing spatial uniformity in reaction-diffusion systems using weighted L2-norm contractions","author":"aminzare","year":"2014"},{"key":"ref52","author":"cantrell","year":"2003","journal-title":"Spatial Ecology via Reaction-Diffusion Equations"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(98)00019-3"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1002\/aic.690460317"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2013.01.001"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1007\/s00422-004-0527-x"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2008.2009619"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.84.041929"},{"key":"ref15","author":"pavlov","year":"2005","journal-title":"Uniform Output Regulation of Nonlinear Systems A Convergent Dynamics Approach"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2005.1583029"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2004.02.003"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1007\/s10543-006-0069-9"},{"key":"ref19","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-00547-7","author":"deimling","year":"1985","journal-title":"Nonlinear Functional Analysis"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.4153\/CJM-1961-040-6"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.2307\/2372245"},{"key":"ref6","first-page":"19","article-title":"On the dissipativity of a certain non-linear system of differential equations. I","volume":"6","author":"demidovi\u00eb","year":"1961","journal-title":"Vestnik Moskov Univ Ser I Mat Meh"},{"key":"ref5","article-title":"Trans. Roy. Inst. Techn. (Stock-holm)","author":"dahlquist","year":"1959","journal-title":"Stability and Error Bounds in the Numerical Integration of Ordinary Differential Equations"},{"key":"ref8","article-title":"Publications of the Mathematical Society of Japan, No.9","author":"yoshizawa","year":"1966","journal-title":"Stability Theory by Liapunov's Second Method"},{"key":"ref7","author":"demidovic","year":"1967","journal-title":"Lektsii po matematicheskoi teorii ustoichivosti"},{"key":"ref49","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-12471-6","author":"lorenz","year":"2010","journal-title":"Mutational Analysis A Joint Framework for Cauchy Problems in and beyond Vector Spaces"},{"key":"ref9","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-6376-0","article-title":"Applied Mathematical Sciences","volume":"14","author":"yoshizawa","year":"1975","journal-title":"Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions"},{"key":"ref46","article-title":"Reprint of the second","author":"vidyasagar","year":"2002","journal-title":"Nonlinear systems analysis volume 42 of Classics in Applied Mathematics Society for Industrial and Applied Mathematics (SIAM)"},{"key":"ref45","article-title":"Some remarks on spatial uniformity of solutions of reaction-diffusion pde's and a related synchronization problem for ode's","author":"aminzare","year":"2014"},{"key":"ref48","doi-asserted-by":"crossref","first-page":"1531","DOI":"10.1016\/j.automatica.2006.04.009","article-title":"Diagonal stability for a class of cyclic systems and applications","volume":"42","author":"arcak","year":"2006","journal-title":"Automatica"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-1346-8"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1007\/BF01389666"},{"key":"ref41","author":"desoer","year":"1975","journal-title":"Feedback Systems Input-Output Properties"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pcbi.1000739"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-93918-4_20"}],"event":{"name":"2014 IEEE 53rd Annual Conference on Decision and Control (CDC)","location":"Los Angeles, CA","start":{"date-parts":[[2014,12,15]]},"end":{"date-parts":[[2014,12,17]]}},"container-title":["53rd IEEE Conference on Decision and Control"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/7027307\/7039338\/07039986.pdf?arnumber=7039986","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,8,6]],"date-time":"2023-08-06T05:29:33Z","timestamp":1691299773000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/7039986\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,12]]},"references-count":54,"URL":"https:\/\/doi.org\/10.1109\/cdc.2014.7039986","relation":{},"subject":[],"published":{"date-parts":[[2014,12]]}}}