{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T07:46:26Z","timestamp":1740123986635,"version":"3.37.3"},"reference-count":20,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2019,12,9]],"date-time":"2019-12-09T00:00:00Z","timestamp":1575849600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2019,12,9]],"date-time":"2019-12-09T00:00:00Z","timestamp":1575849600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Optim Theory Appl"],"published-print":{"date-parts":[[2020,3]]},"DOI":"10.1007\/s10957-019-01611-x","type":"journal-article","created":{"date-parts":[[2019,12,9]],"date-time":"2019-12-09T07:02:35Z","timestamp":1575874955000},"page":"1109-1125","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Robust Sub-optimality of Linear-Saturated Control via Quadratic Zero-Sum Differential Games"],"prefix":"10.1007","volume":"184","author":[{"given":"Dario","family":"Bauso","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1448-3782","authenticated-orcid":false,"given":"Rosario","family":"Maggistro","sequence":"additional","affiliation":[]},{"given":"Raffaele","family":"Pesenti","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,12,9]]},"reference":[{"issue":"3","key":"1611_CR1","doi-asserted-by":"publisher","first-page":"368","DOI":"10.1109\/9.486638","volume":"41","author":"A Saberi","year":"1996","unstructured":"Saberi, A., Lin, Z., Teel, A.: Control of linear systems with saturating actuators. IEEE Trans. Autom. Control 41(3), 368\u2013377 (1996)","journal-title":"IEEE Trans. Autom. Control"},{"key":"1611_CR2","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-85729-941-3","volume-title":"Stability and Stabilization of Linear Systems with Saturating Actuators","author":"S Tarbouriech","year":"2011","unstructured":"Tarbouriech, S., Garcia, G., da Silva, J.G., Queinnec, I.: Stability and Stabilization of Linear Systems with Saturating Actuators. Springer, London (2011)"},{"key":"1611_CR3","doi-asserted-by":"crossref","unstructured":"Benzaouia, A., Mesquine, F., Benhayoun, M.: Saturated control of linear systems. In: Kacprzyk, J. (ed.) Studies in Systems, Decision and Control, vol. 124. Springer, Cham (2018)","DOI":"10.1007\/978-3-319-65990-9"},{"issue":"11","key":"1611_CR4","doi-asserted-by":"publisher","first-page":"1770","DOI":"10.1109\/TAC.2006.884942","volume":"51","author":"T Hu","year":"2006","unstructured":"Hu, T., Teel, A.R., Zaccarian, L.: Stability and performance for saturated systems via quadratic and nonquadratic Lyapunov functions. IEEE Trans. Autom. Control 51(11), 1770\u20131786 (2006)","journal-title":"IEEE Trans. Autom. Control"},{"key":"1611_CR5","doi-asserted-by":"publisher","first-page":"1599","DOI":"10.1016\/S0005-1098(99)00060-6","volume":"35","author":"D Henrion","year":"1999","unstructured":"Henrion, D., Tarbouriech, S.: LMI relaxations for robust stability of linear systems with saturating controls. Automatica 35, 1599\u20131604 (1999)","journal-title":"Automatica"},{"issue":"12","key":"1611_CR6","doi-asserted-by":"publisher","first-page":"2681","DOI":"10.1109\/TCSI.2006.883163","volume":"53","author":"A Benzaouia","year":"2006","unstructured":"Benzaouia, A., Tadeo, F., Mesquine, F.: The regulator problem for linear systems with saturation on the control and its increments or rate: an LMI approach. IEEE Trans. Circuits Syst. I Fundam. Theory Appl. 53(12), 2681\u20132691 (2006)","journal-title":"IEEE Trans. Circuits Syst. I Fundam. Theory Appl."},{"key":"1611_CR7","doi-asserted-by":"publisher","first-page":"935","DOI":"10.1002\/rnc.1118","volume":"16","author":"EB Castelan","year":"2006","unstructured":"Castelan, E.B., Tarbouriech, S., da Silva Jr, J.M.G., Queinnec, I.: L2-stabilization of continuous-time systems with saturating actuators. Int. J. Robust Nonlinear Control 16, 935\u2013944 (2006)","journal-title":"Int. J. Robust Nonlinear Control"},{"issue":"7","key":"1611_CR8","doi-asserted-by":"publisher","first-page":"1229","DOI":"10.1016\/j.automatica.2004.02.009","volume":"40","author":"H Fang","year":"2004","unstructured":"Fang, H., Lin, Z., Hu, T.: Analysis of linear systems in the presence of actuator saturation and L2-disturbances. Automatica 40(7), 1229\u20131238 (2004)","journal-title":"Automatica"},{"issue":"1","key":"1611_CR9","doi-asserted-by":"publisher","first-page":"96","DOI":"10.1109\/9.362894","volume":"40","author":"AR Teel","year":"1995","unstructured":"Teel, A.R.: Semi-global stabilizability of linear null controllable systems with input nonlinearities. IEEE Trans. Autom. Control 40(1), 96\u2013100 (1995)","journal-title":"IEEE Trans. Autom. Control"},{"issue":"4","key":"1611_CR10","first-page":"2209","volume":"10","author":"Z Lin","year":"1995","unstructured":"Lin, Z., Mantri, R., Saberi, A.: Semi-global output regulation for linear systems subject to input saturation\u2014a low and high gain design. Control Theory Adv. Technol. 10(4), 2209\u20132232 (1995)","journal-title":"Control Theory Adv. Technol."},{"key":"1611_CR11","doi-asserted-by":"publisher","first-page":"165","DOI":"10.1016\/0167-6911(92)90001-9","volume":"18","author":"AR Teel","year":"1992","unstructured":"Teel, A.R.: Global stabilization and restricted tracking for multiple integrators with bounded controls. Syst. Control Lett. 18, 165\u2013171 (1992)","journal-title":"Syst. Control Lett."},{"key":"1611_CR12","doi-asserted-by":"publisher","first-page":"106","DOI":"10.1109\/TAC.2004.841128","volume":"50","author":"JMG da Silva Jr","year":"2005","unstructured":"da Silva Jr, J.M.G., Tarbouriech, S.: Anti-windup design with guaranteed regions of stability: an LMI-based approach. IEEE Trans. Autom. Control 50, 106\u2013111 (2005)","journal-title":"IEEE Trans. Autom. Control"},{"issue":"1","key":"1611_CR13","doi-asserted-by":"publisher","first-page":"140","DOI":"10.1109\/9.981734","volume":"47","author":"YY Cao","year":"2002","unstructured":"Cao, Y.Y., Lin, Z., Ward, D.G.: An antiwindup approach to enlarging domain of attraction for linear systems subject to actuator saturation. IEEE Trans. Autom. Control 47(1), 140\u2013145 (2002)","journal-title":"IEEE Trans. Autom. Control"},{"issue":"1","key":"1611_CR14","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1016\/S0005-1098(01)00174-1","volume":"38","author":"A Bemporad","year":"2002","unstructured":"Bemporad, A., Morari, M., Dua, V., Pistikopoulos, E.N.: The explicit linear quadratic regulator for constrained systems. Automatica 38(1), 3\u201320 (2002)","journal-title":"Automatica"},{"key":"1611_CR15","volume-title":"Dynamic Noncooperative Game Theory","author":"T Basar","year":"1995","unstructured":"Basar, T., Olsder, G.J.: Dynamic Noncooperative Game Theory, 2nd edn. Academic Press, London (1995)","edition":"2"},{"issue":"8","key":"1611_CR16","doi-asserted-by":"publisher","first-page":"1255","DOI":"10.1016\/j.automatica.2005.12.006","volume":"42","author":"D Bauso","year":"2006","unstructured":"Bauso, D., Blanchini, F., Pesenti, R.: Robust control policies for multi-inventory systems with average flow constraints. Automatica 42(8), 1255\u20131266 (2006)","journal-title":"Automatica"},{"issue":"1","key":"1611_CR17","doi-asserted-by":"publisher","first-page":"155","DOI":"10.1051\/cocv\/2009040","volume":"17","author":"F Bagagiolo","year":"2011","unstructured":"Bagagiolo, F., Bauso, D.: Objective function design for robust optimality of linear control under state-constraints and uncertainty. ESAIM Control Optim. Calc. Var. 17(1), 155\u2013177 (2011)","journal-title":"ESAIM Control Optim. Calc. Var."},{"issue":"1","key":"1611_CR18","doi-asserted-by":"publisher","first-page":"150","DOI":"10.1287\/opre.1050.0238","volume":"54","author":"D Bertsimas","year":"2006","unstructured":"Bertsimas, D., Thiele, A.: A robust optimization approach to inventory theory. Oper. Res. 54(1), 150\u2013168 (2006)","journal-title":"Oper. Res."},{"key":"1611_CR19","doi-asserted-by":"crossref","unstructured":"Elliot, R.J., Kalton, N.J.: The existence of value in differential games. Mem. Am. Math. Soc. 126. AMS, Providence, USA (1972)","DOI":"10.1090\/memo\/0126"},{"key":"1611_CR20","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-11557-2","volume-title":"Differential Models of Hysteresis","author":"A Visintin","year":"1994","unstructured":"Visintin, A.: Differential Models of Hysteresis. Springer, Berlin (1994)"}],"container-title":["Journal of Optimization Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-019-01611-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10957-019-01611-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-019-01611-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,12,8]],"date-time":"2020-12-08T00:40:29Z","timestamp":1607388029000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10957-019-01611-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,12,9]]},"references-count":20,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2020,3]]}},"alternative-id":["1611"],"URL":"https:\/\/doi.org\/10.1007\/s10957-019-01611-x","relation":{},"ISSN":["0022-3239","1573-2878"],"issn-type":[{"type":"print","value":"0022-3239"},{"type":"electronic","value":"1573-2878"}],"subject":[],"published":{"date-parts":[[2019,12,9]]},"assertion":[{"value":"18 July 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"12 November 2019","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"9 December 2019","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}