{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,16]],"date-time":"2024-09-16T19:59:22Z","timestamp":1726516762177},"reference-count":41,"publisher":"Elsevier BV","issue":"11","license":[{"start":{"date-parts":[[1997,11,1]],"date-time":"1997-11-01T00:00:00Z","timestamp":878342400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Automatica"],"published-print":{"date-parts":[[1997,11]]},"DOI":"10.1016\/s0005-1098(97)00103-9","type":"journal-article","created":{"date-parts":[[2002,7,26]],"date-time":"2002-07-26T04:27:15Z","timestamp":1027657635000},"page":"1949-1959","source":"Crossref","is-referenced-by-count":6,"title":["Duality and basis functions for robust H2-performance analysis"],"prefix":"10.1016","volume":"33","author":[{"given":"Keat-Choon","family":"Goh","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fen","family":"Wu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0005-1098(97)00103-9_BIB1","doi-asserted-by":"crossref","first-page":"265","DOI":"10.1016\/0167-6911(94)00087-C","article-title":"Linear matrix inequalities in robust analysis with multipliers","volume":"15","author":"Balakrishnan","year":"1995","journal-title":"Syst. Control Lett."},{"year":"1991","series-title":"\u03bc-Analysis and Synthesis Toolbox (\u03bc-Tools)","author":"Balas","key":"10.1016\/S0005-1098(97)00103-9_BIB2"},{"key":"10.1016\/S0005-1098(97)00103-9_BIB3","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1109\/9.16419","article-title":"LQG control with an H\u221e performance bound: a Riccati equation approach","volume":"AC-34","author":"Bernstein","year":"1989","journal-title":"IEEE Trans. Autom. Control"},{"year":"1994","author":"Boyd","key":"10.1016\/S0005-1098(97)00103-9_BIB4"},{"key":"10.1016\/S0005-1098(97)00103-9_BIB5","first-page":"242","article-title":"Structured uncertainty in control system design","volume":"129-D","author":"Doyle","year":"1982"},{"key":"10.1016\/S0005-1098(97)00103-9_BIB6","series-title":"Proc. 21st IEEE Conf. Decision and Control","first-page":"629","article-title":"Performance and robustness analysis for structured uncertainty","author":"Doyle","year":"1982"},{"key":"10.1016\/S0005-1098(97)00103-9_BIB7","series-title":"Proc. 30th IEEE Conf. Decision and Control","first-page":"1227","article-title":"Review of LFTs, LMIs, and \u03bc","author":"Doyle","year":"1991"},{"key":"10.1016\/S0005-1098(97)00103-9_BIB8","doi-asserted-by":"crossref","first-page":"1575","DOI":"10.1109\/9.310031","article-title":"Mixed H2 and H\u221e performance objectives II: optimal control","volume":"39","author":"Doyle","year":"1994","journal-title":"IEEE Trans. Autom. Control"},{"key":"10.1016\/S0005-1098(97)00103-9_BIB9","first-page":"25","article-title":"Robustness in the presence of mixed parametric uncertainty and unmodelled dynamics","volume":"AC-36","author":"Tits","year":"1991","journal-title":"IEEE Trans. Autom. Control"},{"key":"10.1016\/S0005-1098(97)00103-9_BIB10","series-title":"Proc. 33rd IEEE Conf. Decision and Control","first-page":"2015","article-title":"Analysis of robust H2 performance with multi-pliers","author":"Feron","year":"1994"},{"year":"1995","author":"Cabinet","key":"10.1016\/S0005-1098(97)00103-9_BIB11"},{"key":"10.1016\/S0005-1098(97)00103-9_BIB12","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1016\/0167-6911(92)90035-Q","article-title":"H2 guaranteed cost control for uncertain continuous-time linear systems","volume":"19","author":"Geromel","year":"1992","journal-title":"Syst. Control Lett."},{"key":"10.1016\/S0005-1098(97)00103-9_BIB13","series-title":"Proc. 34th IEEE Conf. Decision and Control","first-page":"1988","article-title":"Robust analysis, sectors and quadratic functionals","author":"Goh","year":"1995"},{"key":"10.1016\/S0005-1098(97)00103-9_BIB14","series-title":"Proc. 32nd IEEE Conf. Decision and Control","first-page":"1536","article-title":"Mixed H2\/\u03bc performance bounds using dissipation theory","author":"Hall","year":"1993"},{"key":"10.1016\/S0005-1098(97)00103-9_BIB15","first-page":"1995","article-title":"Duality in analysis via integral quadratic constraints","author":"J\u00f6nsson","year":"1996"},{"key":"10.1016\/S0005-1098(97)00103-9_BIB16","series-title":"Proc. American Control Conf.","first-page":"3859","article-title":"A format for multiplier optimization","author":"J\u00f6nsson","year":"1995"},{"key":"10.1016\/S0005-1098(97)00103-9_BIB17","series-title":"Proc. 34th IEEE Conf. Decision and Control","first-page":"1443","article-title":"On duality in robust analysis","author":"J\u00f6nsson","year":"1995"},{"key":"10.1016\/S0005-1098(97)00103-9_BIB18","first-page":"647","article-title":"A simple state space approach to spectral factorization for discrete-time system","volume":"8","author":"Katayama","year":"1992","journal-title":"Control Theory Adv. Tech."},{"key":"10.1016\/S0005-1098(97)00103-9_BIB19","doi-asserted-by":"crossref","first-page":"824","DOI":"10.1109\/9.85062","article-title":"Mixed H2\/H\u221e control: A convex optimization approach","volume":"AC-36","author":"Khargonekar","year":"1991","journal-title":"IEEE Trans. Autom. Control"},{"year":"1969","author":"Luenberger","key":"10.1016\/S0005-1098(97)00103-9_BIB20"},{"key":"10.1016\/S0005-1098(97)00103-9_BIB21","series-title":"Proc. American Control Conf.","first-page":"425","article-title":"On computation of multivariable stability margin using generalized Popov multi-pliers-LMI approach","author":"Ly","year":"1994"},{"key":"10.1016\/S0005-1098(97)00103-9_BIB22","first-page":"301","article-title":"Power distribution inequalities in optimization and robustness of uncertain systems","volume":"3","author":"Megretski","year":"1993","journal-title":"J. Math. Systems, Est. Control"},{"key":"10.1016\/S0005-1098(97)00103-9_BIB23","series-title":"Proc. American Control Conf.","first-page":"840","article-title":"The projective method for solving Linear Matrix Inequalities","author":"Nemirovskii","year":"1994"},{"year":"1994","author":"Nesterov","key":"10.1016\/S0005-1098(97)00103-9_BIB24"},{"key":"10.1016\/S0005-1098(97)00103-9_BIB25","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1016\/0005-1098(93)90175-S","article-title":"The complex structured singular value","volume":"21","author":"Packard","year":"1993","journal-title":"Automatica"},{"key":"10.1016\/S0005-1098(97)00103-9_BIB26","series-title":"Proc. 34th IEEE Conf. Decision and Control","first-page":"1970","article-title":"Necessary and sufficient conditions for robust H2 performance","author":"Paganini","year":"1995"},{"article-title":"Sets and Constraints in the Analysis of Uncertain Systems","year":"1995","author":"Paganini","key":"10.1016\/S0005-1098(97)00103-9_BIB27"},{"key":"10.1016\/S0005-1098(97)00103-9_BIB28","first-page":"1996","article-title":"Robust H2 analysis for continuous time systems","author":"Paganini","year":"1996"},{"key":"10.1016\/S0005-1098(97)00103-9_BIB29","doi-asserted-by":"crossref","first-page":"1971","DOI":"10.1109\/9.317138","article-title":"Optimal guaranteed cost control and filtering for uncertain linear systems","volume":"AC-39","author":"Peterson","year":"1994","journal-title":"IEEE Trans. Autom. Control"},{"key":"10.1016\/S0005-1098(97)00103-9_BIB30","doi-asserted-by":"crossref","first-page":"1589","DOI":"10.1109\/9.412628","article-title":"Robust performance against time-varying structured perturbations","volume":"AC-40","author":"Poolla","year":"1995","journal-title":"IEEE Trans. Autom. Control"},{"key":"10.1016\/S0005-1098(97)00103-9_BIB31","doi-asserted-by":"crossref","first-page":"7","DOI":"10.1016\/0167-6911(95)00063-1","article-title":"On the Kalman-Yakubovich-Popov lemma","volume":"28","author":"Rantzer","year":"1996","journal-title":"Systems Control Lett."},{"key":"10.1016\/S0005-1098(97)00103-9_BIB32","series-title":"Proc. 33rd IEEE Conf. Decision and Control","first-page":"3062","article-title":"System analysis via integral quadratic constraints","author":"Rantzer","year":"1994"},{"year":"1987","author":"Rudin","key":"10.1016\/S0005-1098(97)00103-9_BIB33"},{"key":"10.1016\/S0005-1098(97)00103-9_BIB34","doi-asserted-by":"crossref","first-page":"415","DOI":"10.1109\/TAC.1981.1102595","article-title":"A multiloop generalization of the circle criterion for stability margin analysis","volume":"AC-26","author":"Safonov","year":"1981","journal-title":"IEEE Trans. Autom. Control"},{"key":"10.1016\/S0005-1098(97)00103-9_BIB35","first-page":"303","article-title":"Real\/Complex Km-Synthesis without curve fitting","volume":"Vol. 56","author":"Safonov","year":"1993"},{"key":"10.1016\/S0005-1098(97)00103-9_BIB36","doi-asserted-by":"crossref","first-page":"1358","DOI":"10.1109\/9.237647","article-title":"The robust H2 control problem: A worst case design","volume":"AC-38","author":"Stoorvogel","year":"1993","journal-title":"IEEE Trans. Autom. Control"},{"year":"1994","author":"Vandenberghe","key":"10.1016\/S0005-1098(97)00103-9_BIB37"},{"key":"10.1016\/S0005-1098(97)00103-9_BIB38","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1007\/BF01585558","article-title":"Semidefinite programming","volume":"69","author":"Vandenberghe","year":"1995","journal-title":"Math. Programming"},{"key":"10.1016\/S0005-1098(97)00103-9_BIB39","series-title":"Proc. American Control Conf.","first-page":"4435","article-title":"Optimal LQG performance of linear uncertain systems using state feedback","author":"Wu","year":"1995"},{"year":"1996","author":"Zhou","key":"10.1016\/S0005-1098(97)00103-9_BIB40"},{"key":"10.1016\/S0005-1098(97)00103-9_BIB41","doi-asserted-by":"crossref","first-page":"1564","DOI":"10.1109\/9.310030","article-title":"Mixed H2 andH\u221e performance objectives I: robust performance analysis","volume":"AC-39","author":"Zhou","year":"1994","journal-title":"IEEE Trans. Autom. Control"}],"container-title":["Automatica"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0005109897001039?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0005109897001039?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,12]],"date-time":"2019-04-12T09:56:59Z","timestamp":1555063019000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0005109897001039"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1997,11]]},"references-count":41,"journal-issue":{"issue":"11","published-print":{"date-parts":[[1997,11]]}},"alternative-id":["S0005109897001039"],"URL":"https:\/\/doi.org\/10.1016\/s0005-1098(97)00103-9","relation":{},"ISSN":["0005-1098"],"issn-type":[{"type":"print","value":"0005-1098"}],"subject":[],"published":{"date-parts":[[1997,11]]}}}