Title :
On certain optimization problems with applications to control problems with constraints
Author :
Emirsajlow, Zbigniew
Author_Institution :
Dept. of Control & Meas., West Pomeranian Univ. of Technol. in Szczecin, Szczecin, Poland
Abstract :
The paper studies certain unconstrained optimization problems dependent of scalar parameters and defined on infinite-dimensional Hilbert spaces. The performed asymptotic analysis with respect to the scalar parameters shows that the unconstrained parametrized optimization problems provide solutions to some optimal control problems for infinite dimensional control systems with constraints. Applicability of the general results is illustrated with two examples.
Keywords :
Hilbert spaces; asymptotic stability; multidimensional systems; optimal control; optimisation; asymptotic analysis; infinite dimensional control systems; infinite-dimensional Hilbert spaces; optimal control problems; scalar parameter dependent unconstrained optimization problems; unconstrained parametrized optimization problems; Abstracts; Equations; Hilbert space; Kernel; Optimal control; Optimization;
Conference_Titel :
Methods and Models in Automation and Robotics (MMAR), 2013 18th International Conference on
Conference_Location :
Miedzyzdroje
Print_ISBN :
978-1-4673-5506-3
DOI :
10.1109/MMAR.2013.6669956
