6. Optimal Control Problems for Navier-Stokes System with Distributed Control Function

1998 ◽  
pp. 109-150 ◽  
Author(s):  
A. V. Fursikov
Keyword(s):  
Optimal Control ◽  
Distributed Control ◽  
Stokes System ◽  
Optimal Control Problems ◽  
Control Function ◽  
Navier Stokes ◽  
Control Problems

scholarly journals Binary optimal control by trust-region steepest descent

2022 ◽  
Author(s):  
Mirko Hahn ◽  
Sven Leyffer ◽  
Sebastian Sager
Keyword(s):  
Optimal Control ◽  
Optimal Control Problems ◽  
Control Function ◽  
Trust Region ◽  
Descent Method ◽  
Steepest Descent ◽  
Topological Optimization ◽  
Steepest Descent Method ◽  
Control Problems ◽  
Theoretical Argument

AbstractWe present a trust-region steepest descent method for dynamic optimal control problems with binary-valued integrable control functions. Our method interprets the control function as an indicator function of a measurable set and makes set-valued adjustments derived from the sublevel sets of a topological gradient function. By combining this type of update with a trust-region framework, we are able to show by theoretical argument that our method achieves asymptotic stationarity despite possible discretization errors and truncation errors during step determination. To demonstrate the practical applicability of our method, we solve two optimal control problems constrained by ordinary and partial differential equations, respectively, and one topological optimization problem.

Sign in / Sign up

Export Citation Format

Share Document