Classical Solutions of Nonautonomous Riccati Equations Arising in Parabolic Boundary Control Problems
Journal Article
·
· Applied Mathematics and Optimization
- Dipartimento di Matematica 'L. Tonelli', Universita di Pisa, via Filippo Buonarroti 2, I-56127 Pisa (Italy)
- Dipartimento di Scienza dei Materiali, Universita Statale di Milano, via Emanueli 15, I-20126 Milano (Italy)
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 Hoelder regularity results for the optimal pair are deduced.
- OSTI ID:
- 21067549
- Journal Information:
- Applied Mathematics and Optimization, Journal Name: Applied Mathematics and Optimization Journal Issue: 3 Vol. 39; ISSN 0095-4616
- Country of Publication:
- United States
- Language:
- English
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