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Classical Solutions of Nonautonomous Riccati Equations Arising in Parabolic Boundary Control Problems, II

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Abstract.

An abstract linear-quadratic regulator problem over finite time horizon is considered; it covers a large class of linear nonautonomous parabolic systems in bounded domains, with boundary control of Dirichlet or Neumann type. We give the proof of some result stated in [AT5], and in addition we prove uniqueness of the Riccati operator, provided its final datum is suitably regular.

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Authors and Affiliations

  1. Dipartimento di Matematica ``L. Tonelli,'' Università di Pisa, via Filippo Buonarroti 2, I-56127 Pisa, Italy , , , , , , IT

    P. Acquistapace

  2. Dipartimento di Scienza dei Materiali, Università Statale di Milano, via Emanueli 15, I-20126 Milano, Italy , , , , , , IT

    B. Terreni

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  1. P. Acquistapace
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  2. B. Terreni
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Accepted 14 October 1998

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Acquistapace, P., Terreni, B. Classical Solutions of Nonautonomous Riccati Equations Arising in Parabolic Boundary Control Problems, II. Appl Math Optim 41, 199–226 (2000). https://doi.org/10.1007/s002459911011

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  • DOI: https://doi.org/10.1007/s002459911011

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