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Paper details
Number 4 - December 2014
Volume 24 - 2014
On an infinite dimensional linear-quadratic problem with fixed endpoints: The continuity question
K. Maciej Przyłuski
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 the continuity of minimum energy and linear-quadratic control problems for infinite dimensional linear systems with fixed endpoints.
Keywords
minimum norm problem, linear-quadratic control, linear-quadratic economies, controllability, continuity of optimal control