DocumentCode :
3663736
Title :
Non-differentiable optimal control problems of retarded parabolic systems
Author :
Adam Kowalewski
Author_Institution :
AGH University of Science and Technology, Faculty of Electrical Engineering, Automatics, Computer Science and Biomedical Engineering, Institute of Automatics and Biomedical Engineering, Al. Mickiewicza 30, 30-059 Cracow, Poland
fYear :
2015
Firstpage :
200
Lastpage :
203
Abstract :
Various optimization problems associated with the optimal control of distributed-parameter systems with time delays appearing in the boundary conditions have been studied recently in [1]-[8] and [11], [12]. In this paper, we consider an optimal boundary control problem for a linear parabolic system with deviating argument given in the integral form. Sufficient conditions for the existence of a unique solution of the parabolic lag equation with the Neumann boundary condition involving a retarded argument in the integral form with h ε (0,6) are presented. The cost function constitutes the sum of a differentiable and non-differentiable function. The time horizon T is fixed. Finally, we impose some constraints on the control. Making use of the Lions scheme [9], necessary and sufficient conditions of optimality for the Neumann problem are derived.
Keywords :
"Optimal control","Boundary conditions","Cost function","Time-varying systems","Delay effects","Integral equations","Biomedical engineering"
Publisher :
ieee
Conference_Titel :
Methods and Models in Automation and Robotics (MMAR), 2015 20th International Conference on
Type :
conf
DOI :
10.1109/MMAR.2015.7283872
Filename :
7283872
Link To Document :
بازگشت