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SOME SYSTEMS THEOREMS ARISING FROM THE BIEBERBACH CONJECTURE

1996; Wiley; Volume: 6; Issue: 1 Linguagem: Inglês

10.1002/(sici)1099-1239(199601)6

1099-1239

J. William Helton, Frederick Weening,

Quantum chaos and dynamical systems

International Journal of Robust and Nonlinear ControlVolume 6, Issue 1 p. 65-82 Research Article SOME SYSTEMS THEOREMS ARISING FROM THE BIEBERBACH CONJECTURE J. WILLIAM HELTON, J. WILLIAM HELTON Department of Mathematics, University of California, San Diego, La Jolla, CA 92093, U.S.A.Search for more papers by this authorFREDERICK WEENING, FREDERICK WEENING Department of Mathematics, University of California, San Diego, La Jolla, CA 92093, U.S.A.Search for more papers by this author J. WILLIAM HELTON, J. WILLIAM HELTON Department of Mathematics, University of California, San Diego, La Jolla, CA 92093, U.S.A.Search for more papers by this authorFREDERICK WEENING, FREDERICK WEENING Department of Mathematics, University of California, San Diego, La Jolla, CA 92093, U.S.A.Search for more papers by this author First published: January 1996 https://doi.org/10.1002/(SICI)1099-1239(199601)6:1 3.0.CO;2-7Citations: 1AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat References 1 Vasyunin, V. I., and N. K. Nikol'skii, ‘Quasiorthogonal decompositions with respect to complementary metrics, and estimates of univalent functions’, Leningrad Math. J., 2 691–764 (1991). 2 Willems, J. C., ‘Dissipative dynamical systems’, Arch. Rat. Mech. Anal., 45, Part I, 321–351, Part II, 352–393 (1972). 3 Hill, D. J., and P. J. Moylan, ‘Dissipative dynamical systems: basic input-output and state properties’, J. Franklin Inst., 309, 327–351 (1980). 4 Basar, T., and G. J. Olsder, Dynamic Noncooperative Game Theory, Math in Science & Engineering series, Vol. 160, Academic Press, New York. 1982. 5 van der Schaft, A. J., ‘ L2 gain analysis of nonlinear systems and nonlinear H∞ control’, IEEE Trans. Automatic Control (to appear). 6 de Branges, L., ‘A proof of the Bieberbach conjecture’, Acta Math., 154, 137–152 (1985). 7 de Branges, L., ‘ Powers of Riemann mapping functions in the Bieberbach conjecture’, Proc. of the Symposium on the occasion of the proof of the Bieberbach conjecture, AMS, Providence, RI (1986). 8 de Branges, L., ‘Unitary linear systems whose transfer functions are Riemann mapping functions’, Operator Thy Advances and Appl., 19, 105–124, Birkhauser, Bassel (1986). 9 de Branges, L., ‘ Underlying concepts in the proof of the Bieberbach conjecture’, Proc. of the International Congress of Math, pp. 25–42, AMS, Providence, R1 (1987). 10 de Branges, L., Square summable power series, to appear. 11 Boyd, S., ‘ Control system analysis and synthesis via linear matrix inequalities’, ACC (plenary lecture, San Francisco), 1993, pp. 2147–2154. 12 Lu, and J. Doyle, ‘ H∞ Control of nonlinear systems: a convex characterization’ (preprint). 13 Hestenes, Magnus R., ‘Inversion of matrices by biorothogonalization’, J. Soc. Indust. Appl. Math., 6, 84 (1958). 14 FitzGerald, C., and Pommerenke, Chr. ‘The de Branges theorem on univalent functions’, Trans. Amer. Math. Soc., 290, 683–690 (1985). 15 Vasyunin, V. I., and N. K. Nikol'skii, ‘ Operator-valued measures and coefficients of univalent functions’, (preprint). 16 Pommerenke, Chr., Univalent Functions, Vandehoeck & Ruprecht, Göttingen, 1975, pp. 156–164. 17 Littlewood, J. E., ‘On inequalities in the theory of functions’, Proc. Lond. Math. Soc., 2, 481–519 (1925). 18 Anderson, Brian D. O., and Vongpanitlerd, S., Network Analysis and Synthesis: a Modern Systems Theory Approach, Prentice Hall, Englewood Cliffs, NJ, 1973. Citing Literature Volume6, Issue1January 1996Pages 65-82 ReferencesRelatedInformation