{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,16]],"date-time":"2026-03-16T10:18:30Z","timestamp":1773656310116,"version":"3.50.1"},"reference-count":36,"publisher":"Pleiades Publishing Ltd","issue":"8","license":[{"start":{"date-parts":[[2016,8,1]],"date-time":"2016-08-01T00:00:00Z","timestamp":1470009600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2016,8,1]],"date-time":"2016-08-01T00:00:00Z","timestamp":1470009600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Autom Remote Control"],"published-print":{"date-parts":[[2016,8]]},"DOI":"10.1134\/s0005117916080014","type":"journal-article","created":{"date-parts":[[2016,8,9]],"date-time":"2016-08-09T03:35:23Z","timestamp":1470713723000},"page":"1317-1333","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Design of optimal and robust control with H\n                            \u221e\/\u03b3\n                            0 performance criterion"],"prefix":"10.1134","volume":"77","author":[{"given":"M. M.","family":"Kogan","sequence":"first","affiliation":[]}],"member":"137","published-online":{"date-parts":[[2016,8,10]]},"reference":[{"issue":"8","key":"485_CR1","doi-asserted-by":"publisher","first-page":"831","DOI":"10.1109\/9.29425","volume":"34","author":"J.C. Doyle","year":"1989","unstructured":"Doyle, J.C., Glover, K., Khargonekar, P.P., et al., State-space Solutions to Standard H\n                                    2 and H\n                                    \u221e Control Problems, IEEE Trans. Automat. Control, 1989, vol. 34, no. 8, pp. 831\u2013847.","journal-title":"IEEE Trans. Automat. Control"},{"issue":"2","key":"485_CR2","doi-asserted-by":"publisher","first-page":"255","DOI":"10.1016\/0005-1098(93)90122-A","volume":"29","author":"H. Kwakernaak","year":"1993","unstructured":"Kwakernaak, H., Robust Control and H\n                                    \u221e-optimization. Tutorial Paper, Automatica, 1993, vol. 29, no. 2, pp. 255\u2013273.","journal-title":"Automatica"},{"key":"485_CR3","volume-title":"Robust and Optimal Control","author":"K. Zhou","year":"1996","unstructured":"Zhou, K., Doyle, J.C., and Glover, K., Robust and Optimal Control, Upper Saddle River: Prentice-Hall, 1996."},{"key":"485_CR4","doi-asserted-by":"publisher","first-page":"293","DOI":"10.1109\/9.16419","volume":"34","author":"D.S. Bernstein","year":"1989","unstructured":"Bernstein, D.S. and Haddad, W.M., LQG Control with an H8 Performance Bound: A Riccati Equation Approach, IEEE Trans. Automat. Control, 1989, vol. 34, pp. 293\u2013305.","journal-title":"IEEE Trans. Automat. Control"},{"key":"485_CR5","first-page":"2065","volume-title":"Proc. Am. Control Conf.","author":"J. Doyle","year":"1989","unstructured":"Doyle, J., Zhou, K., and Bodenheimer, B., Optimal Control with Mixed H2 and H\n                                    \u221e Performance Objectives, Proc. Am. Control Conf., 1989, pp. 2065\u20132070."},{"key":"485_CR6","first-page":"2502","volume-title":"Proc. Am. Control Conf.","author":"K. Zhou","year":"1990","unstructured":"Zhou, K., Doyle, J., Glover, K., et al., Mixed H\n                                    2 and H\n                                    \u221e Control, Proc. Am. Control Conf., 1990, pp. 2502\u20132507."},{"key":"485_CR7","first-page":"1013","volume-title":"Proc. 29 IEEE CDC, Hawaii","author":"H.H. Yeh","year":"1990","unstructured":"Yeh, H.H. and Banda, S.S., Necessary and Sufficient Conditions for Mixed H\n                                    2 and H\n                                    \u221e Optimal Control, Proc. 29 IEEE CDC, Hawaii, 1990, pp. 1013\u20131017."},{"issue":"7","key":"485_CR8","doi-asserted-by":"publisher","first-page":"824","DOI":"10.1109\/9.85062","volume":"36","author":"P.P. Khargonekar","year":"1991","unstructured":"Khargonekar, P.P. and Rotea, M.A., Mixed H2\/H\n                                    \u221e Control: A Convex Optimization Approach, IEEE Trans. Automat. Control, 1991, vol. 36, no. 7, pp. 824\u2013831.","journal-title":"IEEE Trans. Automat. Control"},{"issue":"6","key":"485_CR9","doi-asserted-by":"publisher","first-page":"1373","DOI":"10.1137\/0329070","volume":"29","author":"P.P. Khargonekar","year":"1991","unstructured":"Khargonekar, P.P., Nagpal, K.M., and Poolla, K.R., H\n                                    \u221e Control with Transients, SIAM J. Control Optim., 1991, vol. 29, no. 6, pp. 1373\u20131393.","journal-title":"SIAM J. Control Optim."},{"issue":"9","key":"485_CR10","doi-asserted-by":"publisher","first-page":"1358","DOI":"10.1109\/9.237647","volume":"38","author":"A.A. Stoorvogel","year":"1993","unstructured":"Stoorvogel, A.A., The Robust H\n                                    2 Control Problem: A Worst-case Design, IEEE Trans. Automat. Control, 1993, vol. 38, no. 9, pp. 1358\u20131370.","journal-title":"IEEE Trans. Automat. Control"},{"key":"485_CR11","first-page":"2343","volume-title":"Proc. Am. Control Conf.","author":"T. Iwasaki","year":"1994","unstructured":"Iwasaki, T., Robust Performance Analysis for Systems with Norm-bounded Time-varying Structured Uncertainty, Proc. Am. Control Conf., 1994, pp. 2343\u20132347."},{"issue":"1","key":"485_CR12","doi-asserted-by":"publisher","first-page":"69","DOI":"10.1109\/9.273340","volume":"39","author":"D.J.N. Limebeer","year":"1994","unstructured":"Limebeer, D.J.N., Anderson, B.D.O., and Hendel, B., A Nash Game Approach to Mixed H\n                                    2\/H\n                                    \u221e Control, IEEE Trans. Automat. Control, 1994, vol. 39, no. 1, pp. 69\u201382.","journal-title":"IEEE Trans. Automat. Control"},{"issue":"2","key":"485_CR13","doi-asserted-by":"publisher","first-page":"245","DOI":"10.1080\/002071797224720","volume":"65","author":"K. Uchida","year":"1997","unstructured":"Uchida, K., Kojima, A., and Fujita, M., H\n                                    \u221e Control Attenuating Initial-state Uncertainties, Int. J. Control, 1997, vol. 65, no. 2, pp. 245\u2013252.","journal-title":"Int. J. Control"},{"key":"485_CR14","doi-asserted-by":"publisher","first-page":"1875","DOI":"10.1109\/9.793727","volume":"44","author":"W.W. Lu","year":"1999","unstructured":"Lu, W.W., Balas, G.J., and Lee, E.B., A Variational Approach to H\n                                    \u221e Control with Transients, IEEE Trans. Automat. Control, 1999, vol. 44, pp. 1875\u20131879.","journal-title":"IEEE Trans. Automat. Control"},{"issue":"11","key":"485_CR15","doi-asserted-by":"publisher","first-page":"2095","DOI":"10.1109\/9.887633","volume":"45","author":"M. Sznaier","year":"2000","unstructured":"Sznaier, M., Rotstein, H., Bu, J., et al., An Exact Solution to Continuous-time Mixed H\n                                    2\/H\n                                    \u221e Control Problems, IEEE Trans. Automat. Control, 2000, vol. 45, no. 11, pp. 2095\u20132101.","journal-title":"IEEE Trans. Automat. Control"},{"issue":"5","key":"485_CR16","first-page":"607","volume":"343","author":"I.G. Vladimirov","year":"1995","unstructured":"Vladimirov, I.G., Kurdyukov, A.P., and Semenov, A.V., Stochastic Problem of H\n                                    \u221e-optimization, Dokl. Ross. Akad. Nauk, 1995, vol. 343, no. 5, pp. 607\u2013609.","journal-title":"Dokl. Ross. Akad. Nauk"},{"issue":"3","key":"485_CR17","doi-asserted-by":"publisher","first-page":"895","DOI":"10.1134\/S1064562411070167","volume":"84","author":"M.M. Tchaikovsky","year":"2011","unstructured":"Tchaikovsky, M.M. and Kurdyukov, A.P., Strict Anisotropic Norm Bounded Real Lemma in Terms of Matrix Inequalities, Dokl. Math., 2011, vol. 84, no. 3, pp. 895\u2013898.","journal-title":"Dokl. Math."},{"key":"485_CR18","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611970777","volume-title":"Linear Matrix Inequalities in System and Control Theory","author":"S. Boyd","year":"1994","unstructured":"Boyd, S., El Ghaoui, L., Feron, E., et al., Linear Matrix Inequalities in System and Control Theory, Philadelphia: SIAM, 1994."},{"key":"485_CR19","doi-asserted-by":"publisher","first-page":"421","DOI":"10.1002\/rnc.4590040403","volume":"4","author":"P. Gahinet","year":"1994","unstructured":"Gahinet, P. and Apkarian, P., A Linear Matrix Inequality Approach to H\n                                    \u221e Control, Int. J. Robust Nonlin. Control, 1994, vol. 4, pp. 421\u2013448.","journal-title":"Int. J. Robust Nonlin. Control"},{"key":"485_CR20","doi-asserted-by":"publisher","first-page":"1307","DOI":"10.1016\/0005-1098(94)90110-4","volume":"30","author":"T. Iwasaki","year":"1994","unstructured":"Iwasaki, T. and Skelton, R.E., All Controllers for the General H\n                                    \u221e Control Problem: LMI Existence Conditions and State Space Formulas, Automatica, 1994, vol. 30, pp. 1307\u20131317.","journal-title":"Automatica"},{"key":"485_CR21","doi-asserted-by":"publisher","first-page":"173","DOI":"10.1007\/978-1-4471-3061-1_8","volume-title":"Trends in Control. A European Perspective","author":"C. Scherer","year":"1995","unstructured":"Scherer, C., Mixed H\n                                    2\/H\n                                    \u221e Control, in Trends in Control. A European Perspective, Isidori, A., Ed., Berlin: Springer-Verlag, 1995, pp. 173\u2013216."},{"issue":"7","key":"485_CR22","doi-asserted-by":"publisher","first-page":"896","DOI":"10.1109\/9.599969","volume":"42","author":"C. Scherer","year":"1997","unstructured":"Scherer, C., Gahinet, P., and Chilali, M., Multiobjective Output-feedback Control via LMI Optimization, IEEE Trans. Automat. Control, 1997, vol. 42, no. 7, pp. 896\u2013911.","journal-title":"IEEE Trans. Automat. Control"},{"key":"485_CR23","doi-asserted-by":"publisher","first-page":"1967","DOI":"10.1109\/TAC.2008.928309","volume":"53","author":"E. Ostertag","year":"2008","unstructured":"Ostertag, E., An Improved Path-following Method for Mixed H\n                                    2\/H\n                                    \u221e Controller Design, IEEE Trans. Automat. Control, 2008, vol. 53, pp. 1967\u20131971.","journal-title":"IEEE Trans. Automat. Control"},{"issue":"6","key":"485_CR24","doi-asserted-by":"publisher","first-page":"993","DOI":"10.1134\/S0005117910060020","volume":"71","author":"D.V. Balandin","year":"2010","unstructured":"Balandin, D.V. and Kogan, M.M., Generalized H\n                                    \u221e-optimal Control as a Trade-off between the H\n                                    \u221e-optimal and optimal Controls, Autom. Remote Control, 2010, vol. 71, no. 6, pp. 993\u20131010.","journal-title":"Autom. Remote Control"},{"issue":"8","key":"485_CR25","doi-asserted-by":"publisher","first-page":"1664","DOI":"10.1080\/00207179.2010.487222","volume":"83","author":"D.V. Balandin","year":"2010","unstructured":"Balandin, D.V. and Kogan, M.M., LMI-based H\n                                    \u221e-optimal Control with Transients, Int. J. Control, 2010, vol. 83, no. 8, pp. 1664\u20131673.","journal-title":"Int. J. Control"},{"issue":"1","key":"485_CR26","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1134\/S0005117914010019","volume":"75","author":"D.V. Balandin","year":"2014","unstructured":"Balandin, D.V., Kogan, M.M., Krivdina, L.N., et al., Design of Generalized Discrete-time H\n                                    \u221e-optimal Control over Finite and Infinite Intervals, Autom. Remote Control, 2014, vol. 75, no. 1, pp. 1\u201317.","journal-title":"Autom. Remote Control"},{"issue":"4","key":"485_CR27","doi-asserted-by":"publisher","first-page":"691","DOI":"10.1080\/00207179.2015.1091511","volume":"89","author":"M.M. Kogan","year":"2016","unstructured":"Kogan, M.M., Optimal Discrete-time H\n                                    \u221e\/0 Filtering and Control under Unknown Covariances, Int. J. Control, 2016, vol. 89, no. 4, pp. 691\u2013700.","journal-title":"Int. J. Control"},{"key":"485_CR28","volume-title":"Sintez zakonov upravleniya na osnove lineinykh matrichnykh neravenstv","author":"D.V. Balandin","year":"2007","unstructured":"Balandin, D.V. and Kogan, M.M., Sintez zakonov upravleniya na osnove lineinykh matrichnykh neravenstv (Design of Control Laws on the Basis of Linear Matrix Inequalities), Moscow: Fizmatlit, 2007."},{"key":"485_CR29","doi-asserted-by":"publisher","first-page":"242","DOI":"10.1049\/ip-d.1982.0053","volume":"129","author":"J. Doyle","year":"1982","unstructured":"Doyle, J., Analysis of Feedback Systems with Structured Uncertanties, IEE Proc., D, 1982, vol. 129, pp. 242\u2013250.","journal-title":"IEE Proc., D"},{"key":"485_CR30","doi-asserted-by":"publisher","first-page":"251","DOI":"10.1049\/ip-d.1982.0054","volume":"129","author":"M. Safonov","year":"1982","unstructured":"Safonov, M., Stability Margins of Diagonally Perturbed Multivariable Feedback Systems, IEE Proc., D, 1982, vol. 129, pp. 251\u2013256.","journal-title":"IEE Proc., D"},{"key":"485_CR31","doi-asserted-by":"publisher","first-page":"1139","DOI":"10.1109\/TAC.1981.1102785","volume":"26","author":"M.R. Corless","year":"1981","unstructured":"Corless, M.R. and Leitmann, G., Continuous State Feedback Guaranteeing Uniform Ultimate Boundedness for Uncertain Dynamic Systems, IEEE Trans. Automat. Control, 1981, vol. 26, pp. 1139\u20131144.","journal-title":"IEEE Trans. Automat. Control"},{"issue":"4","key":"485_CR32","doi-asserted-by":"publisher","first-page":"399","DOI":"10.1007\/BF00939145","volume":"46","author":"B.R. Barmish","year":"1985","unstructured":"Barmish, B.R., Necessary and Sufficient Conditions for Quadratic Stabilizability of an Uncertain System, J. Optim. Theory Appl., 1985, vol. 46, no. 4, pp. 399\u2013408.","journal-title":"J. Optim. Theory Appl."},{"key":"485_CR33","doi-asserted-by":"publisher","first-page":"397","DOI":"10.1016\/0005-1098(86)90045-2","volume":"22","author":"I.R. Petersen","year":"1986","unstructured":"Petersen, I.R. and Hollot, C.V., A Riccati Equation Approach to the Stabilization of Uncertain Linear Systems, Automatica, 1986, vol. 22, pp. 397\u2013411.","journal-title":"Automatica"},{"issue":"3","key":"485_CR34","doi-asserted-by":"publisher","first-page":"356","DOI":"10.1109\/9.50357","volume":"35","author":"P.P. Khargonekar","year":"1990","unstructured":"Khargonekar, P.P., Petersen, I.R., and Zhou, K., Robust Stabilization of Uncertain Systems and H\n                                    \u221e Optimal Control, IEEE Trans. Automat. Control, 1990, vol. 35, no. 3, pp. 356\u2013361.","journal-title":"IEEE Trans. Automat. Control"},{"key":"485_CR35","volume-title":"Ustoichivost\u2019 nelineinykh sistem s needinstvennym sostoyaniem ravnovesiya","author":"A.Kh. Gelig","year":"1978","unstructured":"Gelig, A.Kh., Leonov, G.A., and Yakubovich, V.A., Ustoichivost\u2019 nelineinykh sistem s needinstvennym sostoyaniem ravnovesiya (Stability of Nonlinear Systems with Nonunique Equilibrium), Moscow: Nauka, 1978."},{"key":"485_CR36","volume-title":"H \u221e-Optimal Control and Related Minimax Design Problems: A Dynamic Game Approach","author":"T. Basar","year":"1995","unstructured":"Basar, T. and Bernhard, P., H\u221e-Optimal Control and Related Minimax Design Problems: A Dynamic Game Approach, Boston: Birkh\u00e4user, 1995."}],"container-title":["Automation and Remote Control"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1134\/S0005117916080014.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1134\/S0005117916080014","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1134\/S0005117916080014","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1134\/S0005117916080014.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,3,15]],"date-time":"2026-03-15T22:28:26Z","timestamp":1773613706000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1134\/S0005117916080014"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,8]]},"references-count":36,"journal-issue":{"issue":"8","published-print":{"date-parts":[[2016,8]]}},"alternative-id":["485"],"URL":"https:\/\/doi.org\/10.1134\/s0005117916080014","relation":{},"ISSN":["0005-1179","1608-3032"],"issn-type":[{"value":"0005-1179","type":"print"},{"value":"1608-3032","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,8]]},"assertion":[{"value":"16 October 2014","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"10 August 2016","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}