On the optimal control of systems described by implicit evolution equations

On the optimal control of systems described by implicit evolution equations

We obtain conditions for the existence and uniqueness of an optimal control for the linear nonstationary operator-differential equation with a quadratic performance criterion. The operators A ( t ) and B ( t ) are closed and may have nontrivial kernels. The results are applied to differential-algebr...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Differential equations 2009-03, Vol.45 (3), p.429-438
Hauptverfasser: Vlasenko, L. A., Rutkas, A. G.
Format: Artikel
Sprache:eng
Schlagworte:
Control Theory
Difference and Functional Equations
Hilbert space
Mathematical functions
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We obtain conditions for the existence and uniqueness of an optimal control for the linear nonstationary operator-differential equation with a quadratic performance criterion. The operators A ( t ) and B ( t ) are closed and may have nontrivial kernels. The results are applied to differential-algebraic equations and to partial differential equations that do not belong to the Cauchy-Kowalewskaya type.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266109030124