<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

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

Department of Applied Sciences Collegium Mazovia, ul. Sokołowska 116, 08-110 Siedlce, Poland

International Journal of Applied Mathematics and Computer Science

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...

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

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.