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

Journal Article · Sat May 15 04:00:00 UTC 1999 · Applied Mathematics and Optimization

DOI:https://doi.org/10.1007/S002459900111· OSTI ID:21067549

Acquistapace, P ^[1]; Terreni, B ^[2]

---

1. Dipartimento di Matematica 'L. Tonelli', Universita di Pisa, via Filippo Buonarroti 2, I-56127 Pisa (Italy)
2. 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

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CONTROL THEORY
MATHEMATICAL SOLUTIONS
RICCATI EQUATION