On an infinite dimensional linear-quadratic problem with fixed endpoints: the continuity question
K. Maciej Przyłuski (2014)
International Journal of Applied Mathematics and Computer Science
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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.