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Tytuł artykułu

A dynamical inverse problem for a parabolic equation

Autorzy
Treść / Zawartość
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A problem of dynamical reconstruction of unknown distributed or boundary disturbances acting upon nonlinear parabolic equations is discussed. A regularized algorithm which allows us to reconstruct disturbances synchro with the process under consideration is designed. This algorithm is stable with respect to informational noises and computational errors.
Rocznik
Strony
327--342
Opis fizyczny
Bibliogr. 14 poz.
Twórcy
autor
  • Ural Branch of Russian Academy of Sciences, Institute of Mathematics and Mechanics, S. Kovalevskaya Str. 16, Ekaterinburg, 620219 Russia, maksimov@imm.uran.ru
Bibliografia
  • [1] Banks H. T., Kunisch K., Estimation techniques for distributed parameter systems, Birkhauser, Boston, 1989.
  • [2] Engl H. W., Hanke M., Neubauer A., Regularization of inverse problems, Kluwer, The Netherlands, 1996.
  • [3] Tikhonov A. N., Arsenin V., Solutions of ill-posed problems, Wiley, New York, 1977.
  • [4] Osipov Yu. S., Kryazhimskii A. V., Inverse problems for ordinary differential equations: dynamical solutions, Gordon and Breach, London, 1995.
  • [5] Osipov Yu. S., Kryazhimskii A. V., Maksimov V. I., Dynamical inverse problems for parabolic systems, Differential Equations 36 (2000) 5, 579-597 (in Russian).
  • [6] Maksimov V. I., Dynamical inverse problems of distributed systems, VSP, The Netherlands, 2002.
  • [7] Krasovskii N. N., Subbotin A. I., Game-theoretical control problems, Springer, Berlin, 1988.
  • [8] Maksimov V. I., Pandolfi L., Dynamical reconstruction of inputs for constraction semigroup systems: the boundary input case, J. Optimization Theory and Applications 103 (1999) 2, 117-129.
  • [9] Maksimov V. I., Pandolfi L., On reconstruction of controls in nonlinear distributed systems, Prikl. Mat. Mekh. 63 (1999) 2, 37-41 (in Russian).
  • [10] Lasiecka I., Triggiani R., Differential and algebraic Riccati equations with applications to boundary/point control problems: continuous theory and approximation theory, Lecture Notes in Control and Information Sciences, Springer-Verlag 164 (1991).
  • [11] Lasiecka I., Triggiani R., Exact controllability of semilinear abstract systems with application to waves and plates boundary control problems, Appl. Math. and Optim. 23 (1991) 2, 109-154.
  • [12] Lasiecka I., Boundary control of parabolic systems: regularity of optimal solutions, Appl. Math. and Optim. 4 (1978) 4, 301-328.
  • [13] Barbu V., Boundary control problems with convex cost criterion, SIAM J. Control Optim. 18 (1980) 2, p. 227-243.
  • [14] Lasiecka I., Unified theory for abstract parabolic boundary problems - a semigroup approach, Appl. Math. and Optim. 6 (1980) 6, p. 287-334.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-AGH4-0007-0022
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