On Infinite Dimensional Linear-Quadratic Problem with Fixed Endpoints. Continuity Question

K. Przyłuski

MPRA Paper from University Library of Munich, Germany

Abstract: 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 continuity of the minimum energy and linear-quadratic control problems for infinite dimensional linear systems with fixed endpoints.

Keywords: Minimum norm problem; linear-quadratic control and linear-quadratic economies; controllability and approximate controllability; null-controllability; continuity of optimal control. (search for similar items in EconPapers)
JEL-codes: C61 C65 E60 (search for similar items in EconPapers)
Date: 2014
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