On an infinite dimensional linear-quadratic problem with fixed endpoints: The continuity question
| Dec 20, 2014
Published Online: Dec 20, 2014
Page range: 723 - 733
Received: Sep 30, 2013
DOI: https://doi.org/10.2478/amcs-2014-0053
© by K.Maciej Przyłuski
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
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.