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Exact controllability of linear systems in infinite dimensional spaces

Part of the Lecture Notes in Mathematics book series (LNM,volume 446)

Keywords

  • Functional Calculus
  • Orthonormal System
  • Infinitesimal Generator
  • Distribute Parameter System
  • Infinite Dimensional Space

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References

  1. BUTKOVSKII, A. G. and POLTAVSKII, L. N., The optimal control of a distributed oscillating system (Russian), Automatics and Remote Control (1965).

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  2. DUNFORD, N. and SCHWARTZ, J. T., Linear Operators, Part I, Interscience Publishers, New York, 1957.

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  3. FATTORINI, H. O., Control in finite time of differential equations in Banach space, Communications on Pure and Applied Mathematics XIX (1966), 17–34.

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  5. FATTORINI, H. O. and RUSSELL, D. L., Exact controllability theorems for linear parabolic equations in one space dimension, Archive for Rational Mechanics and Analysis 43 (1971), 272–292.

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© 1975 Springer-Verlag

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Fattorini, H.O. (1975). Exact controllability of linear systems in infinite dimensional spaces. In: Goldstein, J.A. (eds) Partial Differential Equations and Related Topics. Lecture Notes in Mathematics, vol 446. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0070602

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  • DOI: https://doi.org/10.1007/BFb0070602

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07148-8

  • Online ISBN: 978-3-540-37440-4

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