Przyłuski, K. Maciej
(2014):
*On Infinite Dimensional Linear-Quadratic Problem with Fixed Endpoints. Continuity Question.*
Forthcoming in: Internationa Journal of Applied Mathematics and Computer Science
, Vol. 24, No. 4
(2014)

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## 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 continuity of the minimum energy and linear-quadratic control problems for infinite dimensional linear systems with fixed endpoints.

Item Type: | MPRA Paper |
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Original Title: | On Infinite Dimensional Linear-Quadratic Problem with Fixed Endpoints. Continuity Question |

Language: | English |

Keywords: | Minimum norm problem, linear-quadratic control and linear-quadratic economies, controllability and approximate controllability, null-controllability, continuity of optimal control. |

Subjects: | C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C61 - Optimization Techniques ; Programming Models ; Dynamic Analysis C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C65 - Miscellaneous Mathematical Tools E - Macroeconomics and Monetary Economics > E6 - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook > E60 - General |

Item ID: | 57430 |

Depositing User: | K. Maciej Przyluski |

Date Deposited: | 20 Jul 2014 23:36 |

Last Modified: | 27 Sep 2019 20:51 |

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URI: | https://mpra.ub.uni-muenchen.de/id/eprint/57430 |