On Infinite Dimensional Linear-Quadratic Problem with Fixed Endpoints. Continuity Question

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)

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
• 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

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