{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T14:27:29Z","timestamp":1787322449892,"version":"build-2736575974"},"reference-count":10,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"6","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Control Optim."],"published-print":{"date-parts":[[2003,1]]},"abstract":"<jats:p>In this paper we are concerned with the problem of robust dissipativity of linear systems with parameters affected by box uncertainty; our major goal is to evaluate the largest uncertainty level for which all perturbed instances share a common dissipativity certificate. While it is NP-hard to compute this quantity exactly, we demonstrate that under favorable circumstances one can build an O(1)-tight lower bound of this \"intractable\" quantity by solving an explicit semidefinite program of the size polynomial in the size of the system. We consider a number of applications, including the robust versions of the problems of extracting nearly optimal available storage, providing nearly optimal required supply, Lyapunov stability analysis, and linear-quadratic control.<\/jats:p>","DOI":"10.1137\/s0363012901398174","type":"journal-article","created":{"date-parts":[[2003,6,11]],"date-time":"2003-06-11T11:12:06Z","timestamp":1055329926000},"page":"1661-1695","source":"Crossref","is-referenced-by-count":12,"title":["Robust Dissipativity of Interval Uncertain Linear Systems"],"prefix":"10.1137","volume":"41","author":[{"given":"Florin Dan","family":"Barb","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Aharon","family":"Ben-Tal","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Arkadi","family":"Nemirovski","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,7,26]]},"reference":[{"key":"R1","doi-asserted-by":"crossref","unstructured":"AharonBen\u2010Tal, LaurentEl Ghaoui, ArkadiNemirovski, Robustness, Internat. Ser. Oper. Res. Management Sci., Vol. 27, Kluwer Acad. Publ., Boston, MA, 2000, 139\u20131621778228","DOI":"10.1007\/978-1-4615-4381-7_6"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898718829"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1137\/S1052623400374756"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611970777"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479896298130"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1137\/S1052623496305717"},{"key":"R7","doi-asserted-by":"publisher","DOI":"10.1007\/BF01211741"},{"key":"R8","unstructured":"C. Scherer and S. Weiland,\n                      Linear Matrix Inequalities in Control\n                      , Dutch Institute of Systems and Control graduate course lecture notes, version 2.0, http:\/\/www.ocp. tudelft.nl\/sr\/personal\/Scherer\/lmi.pdf (April 1999)."},{"key":"R9","doi-asserted-by":"publisher","DOI":"10.1007\/BF00276493"},{"key":"R10","doi-asserted-by":"publisher","DOI":"10.1007\/BF00276494"}],"container-title":["SIAM Journal on Control and Optimization"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/S0363012901398174","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T13:22:04Z","timestamp":1787318524000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/S0363012901398174"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,1]]},"references-count":10,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2003,1]]}},"alternative-id":["10.1137\/S0363012901398174"],"URL":"https:\/\/doi.org\/10.1137\/s0363012901398174","relation":{},"ISSN":["0363-0129","1095-7138"],"issn-type":[{"value":"0363-0129","type":"print"},{"value":"1095-7138","type":"electronic"}],"subject":[],"published":{"date-parts":[[2003,1]]}}}