Differential stability of projection in Hilbert space onto convex set. Applications to sensitivity analysis of optimal control problems

2005 ◽  
pp. 1-37
Author(s):  
Jan Sokołowski
Keyword(s):  
Optimal Control ◽  
Hilbert Space ◽  
Sensitivity Analysis ◽  
Optimal Control Problems ◽  
Convex Set ◽  
Control Problems ◽  
Differential Stability

Sensitivity analysis for optimal control problems described by nonlinear fractional evolution inclusions

2018 ◽  
Vol 21 (6) ◽  
pp. 1439-1470 ◽  
Author(s):  
Xiuwen Li ◽  
Yunxiang Li ◽  
Zhenhai Liu ◽  
Jing Li
Keyword(s):  
Optimal Control ◽  
Sensitivity Analysis ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Optimal Control Problems ◽  
Mild Solutions ◽  
Control Problems ◽  
Initial Condition ◽  
Evolution Inclusions ◽  
Technical Details

Abstract In this paper, a sensitivity analysis of optimal control problem for a class of systems described by nonlinear fractional evolution inclusions (NFEIs, for short) on Banach spaces is investigated. Firstly, the nonemptiness as well as the compactness of the mild solutions set S(ζ) (ζ being the initial condition) for the NFEIs are obtained, and we also present an extension Filippov’s theorem and whose proof differs from previous work only in some technical details. Finally, the optimal control problems described by NFEIs depending on the initial condition ζ and the parameter η are considered and the sensitivity properties of the optimal control problem are also established.

scholarly journals Sensitivity analysis of hyperbolic optimal control problems

2010 ◽  
Vol 52 (1) ◽  
pp. 147-179 ◽  
Author(s):  
Adam Kowalewski ◽  
Irena Lasiecka ◽  
Jan Sokołowski
Keyword(s):  
Optimal Control ◽  
Sensitivity Analysis ◽  
Optimal Control Problems ◽  
Control Problems
Sign in / Sign up

Export Citation Format

Share Document