Control Smoothing Splines with Initial Conditions

17th Conference on Applied Mathematics APLIMAT 2018: Proceedings 2018
Nataļja Budkina, Svetlana Asmuss

This work is devoted to the problem of optimal control of a linear dynamic system with initial conditions. The main attention is paid to a controlled system reduced to the second order differential equation considered with the cost functional which controls the input function of this system to push a trajectory nearby a set of desired points. We show how the technique of smoothing splines can be adapted for construction of solutions of such problem.

Keywords
smoothing spline, control theory, dynamic system

Budkina, N., Asmuss, S. Control Smoothing Splines with Initial Conditions. In: 17th Conference on Applied Mathematics APLIMAT 2018: Proceedings, Slovakia, Bratislava, 6-8 February, 2018. Bratislava: SPEKTRUM STU, 2018, pp.14-21. ISBN 978-80-227-4765-3.

Publication language
English (en)