On an infinite dimensional linear-quadratic problem with fixed endpoints: The continuity question

In a Hilbert space setting, necessary and sufficient conditions for the minimum norm solution u to the equation Su = Rz to be continuously dependent on z are given. These conditions are used to study the continuity of minimum energy and linear-quadratic control problems for infinite dimensional line...

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Bibliographic Details
Main Author: Przyłuski K.Maciej
Format: Article
Language:English
Published: Sciendo 2014-12-01
Series:International Journal of Applied Mathematics and Computer Science
Subjects:
Online Access:https://doi.org/10.2478/amcs-2014-0053