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

Journal Article · Wed Mar 15 04:00:00 UTC 2000 · Applied Mathematics and Optimization

DOI:https://doi.org/10.1007/S002459911011· OSTI ID:21067530

Acquistapace, P ^[1]; Terreni, B ^[2]

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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. 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.

• OSTI ID: 21067530
• Journal Information: Applied Mathematics and Optimization, Journal Name: Applied Mathematics and Optimization Journal Issue: 2 Vol. 41; ISSN 0095-4616
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOUNDARY CONDITIONS
CONTROL THEORY
DIRICHLET PROBLEM
MATHEMATICAL SOLUTIONS
RICCATI EQUATION