{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,15]],"date-time":"2026-03-15T23:22:54Z","timestamp":1773616974279,"version":"3.50.1"},"reference-count":23,"publisher":"Pleiades Publishing Ltd","issue":"1","license":[{"start":{"date-parts":[[2018,1,1]],"date-time":"2018-01-01T00:00:00Z","timestamp":1514764800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2018,1,1]],"date-time":"2018-01-01T00:00:00Z","timestamp":1514764800000},"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":[[2018,1]]},"DOI":"10.1134\/s0005117918010113","type":"journal-article","created":{"date-parts":[[2018,2,1]],"date-time":"2018-02-01T23:50:56Z","timestamp":1517529056000},"page":"128-144","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Numerical Procedures for Anisotropic Analysis of Time-Invariant Systems and Synthesis of Suboptimal Anisotropic Controllers and Filters"],"prefix":"10.1134","volume":"79","author":[{"given":"M. M.","family":"Tchaikovsky","sequence":"first","affiliation":[]},{"given":"V. N.","family":"Timin","sequence":"additional","affiliation":[]},{"given":"A. Yu.","family":"Kustov","sequence":"additional","affiliation":[]},{"given":"A. P.","family":"Kurdyukov","sequence":"additional","affiliation":[]}],"member":"137","published-online":{"date-parts":[[2018,2,2]]},"reference":[{"key":"745_CR1","first-page":"2249","volume-title":"Proc. 33rd IEEE Conf. Decision Control","author":"A.V. Semyonov","year":"1994","unstructured":"Semyonov, A.V., Vladimirov, I.G., and Kurdjukov, A.P., Stochastic Approach to H\n                           \u221e-Optimization, Proc. 33rd IEEE Conf. Decision Control, Florida, USA, 1994, pp. 2249\u20132250."},{"issue":"3","key":"745_CR2","first-page":"388","volume":"74","author":"I.G. Vladimirov","year":"1995","unstructured":"Vladimirov, I.G., Kurdjukov, A.P., and Semyonov, A.V., Anisotropy of Signals and Entropy of Linear Stationary Systems, Dokl. Math., 1995, vol. 74, no. 3, pp. 388\u2013390.","journal-title":"Dokl. Math."},{"key":"745_CR3","first-page":"179","volume-title":"Proc. 13th IFAC World Congr.","author":"I.G. Vladimirov","year":"1996","unstructured":"Vladimirov, I.G., Kurdjukov, A.P., and Semyonov, A.V., On Computing the Anisotropic Norm of Linear Discrete-Time-Invariant Systems, Proc. 13th IFAC World Congr., San-Francisco, California, USA, 1996, pp. 179\u2013184."},{"key":"745_CR4","first-page":"155","volume":"52","author":"I.G. Vladimirov","year":"1995","unstructured":"Vladimirov, I.G., Kurdyukov, A.P., and Semyonov, A.V., The Stochastic Problem of H\n                           \u221e Optimization, Dokl. Math., 1995, vol. 52, pp. 155\u2013157.","journal-title":"Dokl. Math."},{"key":"745_CR5","first-page":"427","volume-title":"Proc. 13th IFAC World Congr.","author":"I.G. Vladimirov","year":"1996","unstructured":"Vladimirov, I.G., Kurdjukov, A.P., and Semyonov, A.V., State-Space Solution to Anisotropy-Based Stochastic H\n                           \u221e-Optimization Problem, Proc. 13th IFAC World Congr., San-Francisco, USA, 1996, pp. 427\u2013432."},{"key":"745_CR6","first-page":"1","volume-title":"CADSMAP Research Report 97-14","author":"P. Diamond","year":"1997","unstructured":"Diamond, P., Kurdjukov, A.P., Semyonov, A.V., and Vladimirov, I.G., Homotopy Methods and Anisotropy-based Stochastic H\n                           \u221e-Optimization of Control Systems, CADSMAP Research Report 97-14, The University of Queensland, Australia, 1997, pp. 1\u201322."},{"key":"745_CR7","first-page":"9","volume-title":"Anizotropiinaya teoriya upravleniya\u2014 novyi podkhod k stokhasticheskomu robastnomu upravleniyu","author":"I.G. Vladimirov","year":"2005","unstructured":"Vladimirov, I.G., Kurdyukov, A.P., Maximov, E.A., and Timin, V.N., Anizotropiinaya teoriya upravleniya\u2014 novyi podkhod k stokhasticheskomu robastnomu upravleniyu (Anisotropic Control Theory as a New Approach to Robust Stochastic Control), Trudy IV konferentsii \u201cIdentifikatsiya sistem i zadachi upravleniya\u201d (Proc. IV Conf. \u201cIdentification of Systems and Control Problems\u201d), Moscow, Russia, 2005, pp. 9\u201332."},{"issue":"8","key":"745_CR8","doi-asserted-by":"publisher","first-page":"1265","DOI":"10.1134\/S0005117906080066","volume":"67","author":"I.G. Vladimirov","year":"2006","unstructured":"Vladimirov, I.G., Diamond, F., and Kloeden, P., Anisotropy-Based Robust Performance Analysis of Finite Horizon Linear Discrete Time Varying Systems, Autom. Remote Control, 2006, vol. 67, no. 8, pp. 1265\u20131282.","journal-title":"Autom. Remote Control"},{"key":"745_CR9","doi-asserted-by":"publisher","first-page":"28","DOI":"10.1080\/00207170150202661","volume":"74","author":"P. Diamond","year":"2001","unstructured":"Diamond, P., Vladimirov, I.G., Kurdyukov, A.P., and Semyonov, A.V., Anisotropy-Based Performance Analysis of Linear Discrete Time Invariant Control Systems, Int. J. Control, 2001, no. 74, pp. 28\u201342.","journal-title":"Int. J. Control"},{"key":"745_CR10","first-page":"2332","volume-title":"Prep. 18th IFAC World Congr.","author":"M.M. Tchaikovsky","year":"2011","unstructured":"Tchaikovsky, M.M., Kurdyukov, A.P., and Timin, V.N., Strict Anisotropic Norm Bounded Real Lemma in Terms of Inequalities, Prep. 18th IFAC World Congr., Milano, Italy, 2011, pp. 2332\u20132337."},{"issue":"3","key":"745_CR11","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":"745_CR12","first-page":"5208","volume-title":"Proc. 2012 Am. Control Conf.","author":"M.M. Tchaikovsky","year":"2012","unstructured":"Tchaikovsky, M.M., Static Output Feedback Anisotropic Controller Design by LMI-based Approach: General and Special Cases, Proc. 2012 Am. Control Conf., Montreal, Canada, 2012, pp. 5208\u20135213."},{"issue":"8","key":"745_CR13","doi-asserted-by":"publisher","first-page":"1351","DOI":"10.1134\/S0005117916080038","volume":"77","author":"M.M. Tchaikovsky","year":"2016","unstructured":"Tchaikovsky, M.M., Multichannel Synthesis Problems for Anisotropic Control, Autom. Remote Control, 2016, vol. 77, no. 8, pp. 1351\u20131369.","journal-title":"Autom. Remote Control"},{"key":"745_CR14","volume-title":"CADSMAP Research Report 01-03","author":"I.G. Vladimirov","year":"2001","unstructured":"Vladimirov, I.G., Anisotropy-based Optimal Filtering in Linear Discrete Time Invariant Systems, CADSMAP Research Report 01-03, The University of Queensland, Australia, 2001."},{"issue":"3","key":"745_CR15","doi-asserted-by":"publisher","first-page":"443","DOI":"10.1134\/S1064562412030362","volume":"85","author":"V.N. Timin","year":"2012","unstructured":"Timin, V.N., Tchaikovsky, M.M., and Kurdyukov, A.P., A Solution to Anisotropic Suboptimal Filtering Problem by Convex Optimization, Dokl. Math., 2012, vol. 85, no. 3, pp. 443\u2013445.","journal-title":"Dokl. Math."},{"issue":"11","key":"745_CR16","doi-asserted-by":"publisher","first-page":"1773","DOI":"10.1134\/S0005117913110015","volume":"74","author":"V.N. Timin","year":"2013","unstructured":"Timin, V.N., Anisotropy-Based Suboptimal Filtering for the Linear Discrete Time Invariant Systems, Autom. Remote Control, 2013, vol. 74, no. 11, pp. 1773\u20131785.","journal-title":"Autom. Remote Control"},{"key":"745_CR17","volume-title":"Introduction to Optimization","author":"B.T. Polyak","year":"1987","unstructured":"Polyak, B.T., Introduction to Optimization, New York: Optimization Software, 1987."},{"key":"745_CR18","doi-asserted-by":"publisher","first-page":"1007","DOI":"10.1016\/0005-1098(96)00033-7","volume":"32","author":"P. Gahinet","year":"1996","unstructured":"Gahinet, P., Explicit Controller Formulas for LMI-based H\n                           \u221e Synthesis, Automatica, 1996, vol. 32, pp. 1007\u20131014.","journal-title":"Automatica"},{"key":"745_CR19","first-page":"236","volume-title":"Proc. 23 Saint-Petersburg Int. Conf. Integrated Navigat. Syst.","author":"M.M. Tchaikovsky","year":"2016","unstructured":"Tchaikovsky, M.M., Nikiforov, V.M., Gusev, A.A., and Andreev, K.A., Digital Control of a Gyrostabilized Platform under the Influence of Uncertain Disturbances in the Presence of Measurement Noise, Proc. 23 Saint-Petersburg Int. Conf. Integrated Navigat. Syst., Saint-Petersburg, Russia, 2016, pp. 236\u2013241."},{"key":"745_CR20","first-page":"1455","volume-title":"Proc. 2012 IEEE Multiconf. Syst. Control","author":"M.M. Tchaikovsky","year":"2012","unstructured":"Tchaikovsky, M.M., Kurdyukov, A.P., and Nikiforov, V.M., LMI-based Design of Multichannel Anisotropic Suboptimal Controllers with Application to Control of Gyrostabilized Platform, Proc. 2012 IEEE Multiconf. Syst. Control, Dubrovnik, Croatia, 2012, pp. 1455\u20131460."},{"key":"745_CR21","doi-asserted-by":"publisher","first-page":"351","DOI":"10.1002\/oca.4660060404","volume":"6","author":"M. Mariton","year":"1985","unstructured":"Mariton, M. and Bertrand, R., A Homotopy Algorithm for Solving Coupled Riccati Equations, Optim. Control Appl. Meth., 1985, vol. 6, pp. 351\u2013357.","journal-title":"Optim. Control Appl. Meth."},{"key":"745_CR22","doi-asserted-by":"publisher","first-page":"313","DOI":"10.1002\/(SICI)1099-1239(199605)6:4<313::AID-RNC235>3.0.CO;2-8","volume":"6","author":"P.P. Khargonekar","year":"1996","unstructured":"Khargonekar, P.P., Rotea, M.A., and Baeyens, E., Mixed H\n                           2\/H\n                           \u221e Filtering, Int. J. Robust Nonlin. Control, 1996, vol. 6, pp. 313\u2013330.","journal-title":"Int. J. Robust Nonlin. Control"},{"key":"745_CR23","first-page":"901","volume-title":"Mnogokriterial\u2019naya suboptimal\u2019naya anizotropiinaya fil\u2019tratsiya lineinykh diskretnykh statsionarnykh sistem (Multiobjective Suboptimal Anisotropic Filtering of Linear Discrete Time-Invariant Systems), XII Vseross. soveshchanie po problemam upravleniya","author":"V.N. Timin","year":"2014","unstructured":"Timin, V.N. and Kurdyukov, A.P., Mnogokriterial\u2019naya suboptimal\u2019naya anizotropiinaya fil\u2019tratsiya lineinykh diskretnykh statsionarnykh sistem (Multiobjective Suboptimal Anisotropic Filtering of Linear Discrete Time-Invariant Systems), XII Vseross. soveshchanie po problemam upravleniya (XII All-Russian Meeting on Control Problems), Moscow, Russia, 2014, pp. 901\u2013910."}],"container-title":["Automation and Remote Control"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/article\/10.1134\/S0005117918010113","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1134\/S0005117918010113.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1134\/S0005117918010113.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,3,15]],"date-time":"2026-03-15T22:30:38Z","timestamp":1773613838000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1134\/S0005117918010113"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,1]]},"references-count":23,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2018,1]]}},"alternative-id":["745"],"URL":"https:\/\/doi.org\/10.1134\/s0005117918010113","relation":{},"ISSN":["0005-1179","1608-3032"],"issn-type":[{"value":"0005-1179","type":"print"},{"value":"1608-3032","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,1]]},"assertion":[{"value":"20 March 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 February 2018","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}