{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,19]],"date-time":"2026-02-19T12:47:33Z","timestamp":1771505253870,"version":"3.50.1"},"reference-count":41,"publisher":"Informa UK Limited","issue":"11","funder":[{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["Germany's Excellence Strategy \u2013 EXC 2075 \u2013 390740016"],"award-info":[{"award-number":["Germany's Excellence Strategy \u2013 EXC 2075 \u2013 390740016"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["www.tandfonline.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Control"],"published-print":{"date-parts":[[2021,11,2]]},"DOI":"10.1080\/00207179.2020.1745286","type":"journal-article","created":{"date-parts":[[2020,3,19]],"date-time":"2020-03-19T06:12:31Z","timestamp":1584598351000},"page":"2956-2979","update-policy":"https:\/\/doi.org\/10.1080\/tandf_crossmark_01","source":"Crossref","is-referenced-by-count":41,"title":["Robust and structure exploiting optimisation algorithms: an integral quadratic constraint approach"],"prefix":"10.1080","volume":"94","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2620-631X","authenticated-orcid":false,"given":"Simon","family":"Michalowsky","sequence":"first","affiliation":[{"name":"Institute for Systems Theory and Automatic Control, University of Stuttgart, Stuttgart, Germany"}]},{"given":"Carsten","family":"Scherer","sequence":"additional","affiliation":[{"name":"Mathematical Systems Theory, University of Stuttgart, Stuttgart, Germany"}]},{"given":"Christian","family":"Ebenbauer","sequence":"additional","affiliation":[{"name":"Institute for Systems Theory and Automatic Control, University of Stuttgart, Stuttgart, Germany"}]}],"member":"301","published-online":{"date-parts":[[2020,4,1]]},"reference":[{"issue":"9","key":"CIT0001","first-page":"1365","volume":"30","author":"Antipin A. S.","year":"1994","journal-title":"Differential Equations"},{"key":"CIT0002","doi-asserted-by":"crossref","unstructured":"Aybat, N. S., Fallah, A., G\u00fcrb\u00fczbalaban, M. & Ozdaglar, A. (2019). Robust accelerated gradient methods for smooth strongly convex functions. ArXiv e-prints arXiv:1805.10579.","DOI":"10.1137\/19M1244925"},{"key":"CIT0003","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898718669"},{"key":"CIT0004","unstructured":"Boczar, R., Lessard, L., Packard, A. & Recht, B. (2017). Exponential stability analysis via integral quadratic constraints. ArXiv e-prints arXiv:1706.01337."},{"key":"CIT0005","doi-asserted-by":"crossref","unstructured":"Boczar, R., Lessard, L. & Recht, B. (2015). Exponential convergence bounds using integral quadratic constraints. Proceedings of the 54th IEEE Conference on Decision and Control (CDC) (7516\u20137521). Osaka, Japan.","DOI":"10.1109\/CDC.2015.7403406"},{"key":"CIT0006","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(01)00009-7"},{"key":"CIT0007","volume-title":"Feedback systems: Input-output properties","volume":"55","author":"Desoer C. A.","year":"1975"},{"key":"CIT0008","unstructured":"Drori, Y. & Taylor, A. B. (2018). Efficient first-order methods for convex minimization: A constructive approach. ArXiv e-prints arXiv:1803.05676."},{"key":"CIT0009","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-013-0653-0"},{"key":"CIT0010","doi-asserted-by":"crossref","unstructured":"D\u00fcrr, H. B. & Ebenbauer, C. (2012). On a class of smooth optimization algorithms with applications in control. Proceedings of the 4th IFAC Conference on Nonlinear Model Predictive Control (pp. 291\u2013298). Noordwijkerhout, The Netherlands.","DOI":"10.3182\/20120823-5-NL-3013.00027"},{"key":"CIT0011","doi-asserted-by":"crossref","unstructured":"Fazlyab, M., Morari, M. & Preciado, V. M. (2018). Design of first-order optimization algorithms via sum-of-squares programming. Proceedings of the 57th IEEE Conference on Decision and Control (CDC) (pp. 4445\u20134452). Miami Beach, FL, USA.","DOI":"10.1109\/CDC.2018.8618984"},{"key":"CIT0012","doi-asserted-by":"publisher","DOI":"10.1137\/17M1136845"},{"key":"CIT0013","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2016.2582040"},{"key":"CIT0014","doi-asserted-by":"crossref","unstructured":"Fetzer, M. & Scherer, C. W. (2017). Absolute stability analysis of discrete time feedback interconnections. Proceedings of the 20th IFAC World Congress (pp. 8447\u20138453). Toulouse, France.","DOI":"10.1016\/j.ifacol.2017.08.757"},{"key":"CIT0015","doi-asserted-by":"crossref","unstructured":"Freeman, R. A. (2018). Noncausal Zames-Falb multipliers for tighter estimates of exponential convergence rates. Proceedings of the American Control Conference (ACC) (pp. 2984\u20132989). Milwaukee, WI, USA.","DOI":"10.23919\/ACC.2018.8430801"},{"key":"CIT0016","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2011.2174681"},{"key":"CIT0017","doi-asserted-by":"publisher","DOI":"10.1137\/15M1009597"},{"key":"CIT0018","doi-asserted-by":"crossref","unstructured":"Lessard, L. & Seiler, P. (2019). Direct synthesis of iterative algorithms with bounds on achievable worst-case convergence rate. ArXiv e-prints arXiv:1904.09046.","DOI":"10.23919\/ACC45564.2020.9147401"},{"key":"CIT0019","doi-asserted-by":"crossref","unstructured":"L\u00f6fberg, J. (2004). YALMIP: A toolbox for modeling and optimization in MATLAB. Proceedings of the CACSD Conference. New Orleans, LA, USA.","DOI":"10.1109\/CACSD.2004.1393890"},{"issue":"3","key":"CIT0020","first-page":"246","volume":"8","author":"Lur'e A. I.","year":"1944","journal-title":"Applied Mathematics and Mechanics"},{"key":"CIT0021","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2004.08.014"},{"key":"CIT0022","doi-asserted-by":"publisher","DOI":"10.1109\/9.587335"},{"key":"CIT0023","unstructured":"Michalowsky, S. (in press). Design of distributed and robust optimization algorithms: A systems theoretic approach [Doctoral dissertation, University of Stuttgart]."},{"key":"CIT0024","doi-asserted-by":"crossref","unstructured":"Michalowsky, S. & Ebenbauer, C. (2014). The multidimensional nth order heavy ball method and its application to extremum seeking. Proceedings of the 53rd IEEE Conference on Decision and Control (CDC) (pp. 2660\u20132666). Los Angeles, CA, USA.","DOI":"10.1109\/CDC.2014.7039796"},{"key":"CIT0025","doi-asserted-by":"crossref","unstructured":"Michalowsky, S. & Ebenbauer, C. (2016). Extremum control of linear systems based on output feedback. Proceedings of the 55th IEEE Conference on Decision and Control (CDC) (pp. 2963\u20132968). Las Vegas, NV, USA.","DOI":"10.1109\/CDC.2016.7798711"},{"key":"CIT0026","doi-asserted-by":"crossref","unstructured":"Michalowsky, S., Scherer, C. & Ebenbauer, C. (2019). Robust and structure exploiting algorithms: An integral quadratic constraint approach. ArXiv e-prints arXiv:1905.00279.","DOI":"10.1080\/00207179.2020.1745286"},{"key":"CIT0027","doi-asserted-by":"crossref","unstructured":"Mohammadi, H., Razaviyayn, M. & Jovanovi\u0107, M. R. (2018). Variance amplification of accelerated first-order algorithms for strongly convex quadratic optimization problems. Proceedings of the 57th IEEE Conference on Decision and Control (CDC) (pp. 5753\u20135758). Miami Beach, FL, USA.","DOI":"10.1109\/CDC.2018.8619183"},{"key":"CIT0028","volume-title":"Machine learning: A probabilistic perspective","author":"Murphy K. P.","year":"2012"},{"key":"CIT0029","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-8853-9"},{"key":"CIT0030","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898719833.ch7"},{"key":"CIT0031","volume-title":"Introduction to optimization","author":"Polyak B. T.","year":"1987"},{"key":"CIT0032","doi-asserted-by":"publisher","DOI":"10.1515\/9781400873173"},{"key":"CIT0033","doi-asserted-by":"crossref","unstructured":"Romer, A., Montenbruck, J. M. & Allg\u00f6wer, F. (2017). Sampling strategies for data-driven inference of passivity properties. Proceedings of the 56th IEEE Conference on Decision and Control (CDC) (pp. 6389\u20136394). Melbourne, VIC, Australia.","DOI":"10.1109\/CDC.2017.8264623"},{"key":"CIT0034","doi-asserted-by":"crossref","unstructured":"Safavi, S., Joshi, B., Fran\u00e7a, G. & Bento, J. (2018). An explicit convergence rate for Nesterov's method from SDP. 2018 IEEE International Symposium on Information Theory (ISIT) (pp. 1560\u20131564). Vail, CO, USA.","DOI":"10.1109\/ISIT.2018.8437794"},{"key":"CIT0035","doi-asserted-by":"crossref","unstructured":"Taylor, A. B., Hendrickx, J. M. & Glineur, F. (2017). Performance estimation toolbox (PESTO): Automated worst-case analysis of first-order optimization methods. Proceedings of the 56th IEEE Conference on Decision and Control (CDC) (pp. 1278\u20131283). Melbourne, VIC, Australia.","DOI":"10.1109\/CDC.2017.8263832"},{"key":"CIT0036","doi-asserted-by":"publisher","DOI":"10.1109\/LCSYS.2017.2722406"},{"key":"CIT0037","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejcon.2016.04.004"},{"key":"CIT0038","doi-asserted-by":"publisher","DOI":"10.7551\/mitpress\/1258.001.0001"},{"key":"CIT0039","unstructured":"Wilson, A. C., Recht, B. & Jordan, M. I. (2016). A Lyapunov analysis of momentum methods in optimization. ArXiv e-prints arXiv:1611.02635."},{"key":"CIT0040","doi-asserted-by":"publisher","DOI":"10.1137\/0306007"},{"key":"CIT0041","unstructured":"Zhang, J., Seiler, P. & Carrasco, J. (2019). Noncausal FIR Zames-Falb multiplier search for exponential convergence rate. ArXiv e-prints arXiv:1902.09473."}],"container-title":["International Journal of Control"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.tandfonline.com\/doi\/pdf\/10.1080\/00207179.2020.1745286","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,10,21]],"date-time":"2021-10-21T02:10:21Z","timestamp":1634782221000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.tandfonline.com\/doi\/full\/10.1080\/00207179.2020.1745286"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,4,1]]},"references-count":41,"journal-issue":{"issue":"11","published-print":{"date-parts":[[2021,11,2]]}},"alternative-id":["10.1080\/00207179.2020.1745286"],"URL":"https:\/\/doi.org\/10.1080\/00207179.2020.1745286","relation":{},"ISSN":["0020-7179","1366-5820"],"issn-type":[{"value":"0020-7179","type":"print"},{"value":"1366-5820","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,4,1]]},"assertion":[{"value":"The publishing and review policy for this title is described in its Aims & Scope.","order":1,"name":"peerreview_statement","label":"Peer Review Statement"},{"value":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=tcon20","URL":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=tcon20","order":2,"name":"aims_and_scope_url","label":"Aim & Scope"},{"value":"2019-05-01","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2020-03-13","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2020-04-01","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}