Classical Solutions of Nonautonomous Riccati Equations Arising in Parabolic Boundary Control Problems |
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| Authors: | P Acquistapace B Terreni |
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| Institution: | (1) Dipartimento di Matematica ``L. Tonelli,' Università di Pisa, via Filippo Buonarroti 2, I-56127 Pisa, Italy , IT;(2) Dipartimento di Scienza dei Materiali, Università Statale di Milano, via Emanueli 15, I-20126 Milano, Italy, IT |
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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. The associated differential
Riccati equation is studied from the point of view of semigroup theory; it is shown to have a classical, explicitly represented
solution for very general final data; weighted H?lder regularity results for the optimal pair are deduced.
Accepted 10 December 1997 |
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| Keywords: | , Optimal control, Riccati equation, Boundary control, Parabolic systems, AMS Classification, 49N10, 49K20, 49K27,,,,,,49N35, 35B37, |
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