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

International Journal of Applied Mathematics and Computer Science (2014)

- Volume: 24, Issue: 4, page 723-733
- ISSN: 1641-876X

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topK. Maciej Przyłuski. "On an infinite dimensional linear-quadratic problem with fixed endpoints: the continuity question." International Journal of Applied Mathematics and Computer Science 24.4 (2014): 723-733. <http://eudml.org/doc/271896>.

@article{K2014,

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.},

author = {K. Maciej Przyłuski},

journal = {International Journal of Applied Mathematics and Computer Science},

keywords = {minimum norm problem; linear-quadratic control; linear-quadratic economies; controllability; continuity of optimal control},

language = {eng},

number = {4},

pages = {723-733},

title = {On an infinite dimensional linear-quadratic problem with fixed endpoints: the continuity question},

url = {http://eudml.org/doc/271896},

volume = {24},

year = {2014},

}

TY - JOUR

AU - K. Maciej Przyłuski

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

JO - International Journal of Applied Mathematics and Computer Science

PY - 2014

VL - 24

IS - 4

SP - 723

EP - 733

AB - 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.

LA - eng

KW - minimum norm problem; linear-quadratic control; linear-quadratic economies; controllability; continuity of optimal control

UR - http://eudml.org/doc/271896

ER -

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