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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Infinite-dimensional linear systems with unbounded control and observation: a functional analytic approach
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by Dietmar Salamon PDF
Trans. Amer. Math. Soc. 300 (1987), 383-431 Request permission

Abstract:

The object of this paper is to develop a unifying framework for the functional analytic representation of infinite dimensional linear systems with unbounded input and output operators. On the basis of the general approach new results are derived on the wellposedness of feedback systems and on the linear quadratic control problem. The implications of the theory for large classes of functional and partial differential equations are discussed in detail.
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Additional Information
  • © Copyright 1987 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 300 (1987), 383-431
  • MSC: Primary 93C25; Secondary 34G10, 47A99, 47D05, 49A27
  • DOI: https://doi.org/10.1090/S0002-9947-1987-0876460-7
  • MathSciNet review: 876460