Boundary Value Control of the Higher-Dimensional Wave Equation

David L. Russell

SIAM Journal on Control · 1971 · 71 citations · 10 references

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Previous article Next article Boundary Value Control of the Higher-Dimensional Wave EquationDavid L. RussellDavid L. Russellhttps://doi.org/10.1137/0309004PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] David L. Russell, On boundary-value controllability of linear symmetric hyperbolic systemsMathematical Theory of Control (Proc. Conf., Los Angeles, Calif., 1967) , Academic Press, New York, 1967, 312–321 MR0258500 0214.39607 Google Scholar[2] David L. Russell, Nonharmonic Fourier series in the control theory of distributed parameter systems, J. Math. Anal. Appl., 18 (1967), 542–560 10.1016/0022-247X(67)90045-5 MR0211044 0158.10201 CrossrefISIGoogle Scholar[3] Marco Cirinà, Boundary controllability of nonlinear hyperbolic systems, SIAM J. Control, 7 (1969), 198–212 MR0254408 0182.20203 LinkISIGoogle Scholar[4] J. J. Grainger, Masters Thesis, Boundary-value control of distributed systems characterized by hyperbolic differential equations, Doctoral thesis, Electrical Engineering Dept., Univ. of Wisconsin, Madison, 1967 Google Scholar[5] R. H. Thomas, Masters Thesis, The identification and control of hyperbolic distributed processes, Doctoral thesis, Electrical Engineering Dept., Univ. of Wisconsin, Madison, 1969 Google Scholar[6] R. Courant and , D. Hilbert, Methods of mathematical physics. Vol. II: Partial differential equations, (Vol. II by R. Courant.), Interscience Publishers (a division of John Wiley & Sons), New York-Lon don, 1962xxii+830 MR0140802 0099.29504 Google Scholar[7] H. O. Fattorini, Boundary control systems, SIAM J. Control, 6 (1968), 349–385 10.1137/0306025 MR0239249 0164.10902 LinkISIGoogle Scholar[8] E. Holmgren, über Systeme von linearen partiellen Differentialgleichungen, Ofversigt af kongl. Vetenskapsakad. 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Markus, Foundations of optimal control theory, John Wiley & Sons Inc., New York, 1967x+576 MR0220537 0159.13201 Google Scholar[14] Tosio Kato, Perturbation theory for linear operators, Die Grundlehren der mathematischen Wissenschaften, Band 132, Springer-Verlag New York, Inc., New York, 1966xix+592 MR0203473 0148.12601 CrossrefGoogle Scholar[15] Shmuel Agmon, Lectures on elliptic boundary value problems, Prepared for publication by B. Frank Jones, Jr. with the assistance of George W. Batten, Jr. Van Nostrand Mathematical Studies, No. 2, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London, 1965v+291 MR0178246 0142.37401 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Exact Boundary Controllability of a Maxwell ProblemN. 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Russell18 July 2006 | SIAM Journal on Control, Vol. 9, No. 3AbstractPDF (1410 KB) Volume 9, Issue 1| 1971SIAM Journal on Control History Submitted:12 February 1970Published online:18 July 2006 InformationCopyright © 1971 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0309004Article page range:pp. 29-42ISSN (print):0036-1402Publisher:Society for Industrial and Applied Mathematics

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