scholarly journals Homogenization of constrained optimal control problems for one-dimensional elliptic equations on periodic graphs

2008 ◽  
Vol 15 (2) ◽  
pp. 471-498 ◽  
Author(s):  
Peter I. Kogut ◽  
Günter Leugering
Keyword(s):  
Optimal Control ◽  
Elliptic Equations ◽  
Optimal Control Problems ◽  
Control Problems ◽  
Constrained Optimal Control ◽  
One Dimensional ◽  
Periodic Graphs

scholarly journals Constants within Error Estimates for Legendre-Galerkin Spectral Approximations of Control-Constrained Optimal Control Problems

2014 ◽  
Vol 2014 ◽  
pp. 1-5
Author(s):  
Jianwei Zhou
Keyword(s):  
Optimal Control ◽  
Error Estimate ◽  
Optimal Control Problems ◽  
Control Variable ◽  
Control Problems ◽  
Constrained Optimal Control ◽  
One Dimensional ◽  
Error Indicator ◽  
Spectral Approximations ◽  
Explicit Formulae

Explicit formulae of constants within the aposteriorierror estimate for optimal control problems are investigated with Legendre-Galerkin spectral methods. The constrained set is put on the control variable. For simpleness, one-dimensional bounded domain is taken. Meanwhile, the corresponding aposteriorierror indicator is established with explicit constants.

scholarly journals Discretization of Optimal Control Problems Governed by p-Laplacian Elliptic Equations

2019 ◽  
Vol 2019 ◽  
pp. 1-5
Author(s):  
Shu Luan
Keyword(s):  
Optimal Control ◽  
Control Problem ◽  
Elliptic Equations ◽  
Optimal Control Problems ◽  
Control Problems ◽  
Constrained Optimal Control ◽  
Control Set ◽  
The Cost ◽  
Continuous Problem ◽  
Constrained Optimal Control Problem

In this paper, a state-constrained optimal control problem governed by p-Laplacian elliptic equations is studied. The feasible control set or the cost functional may be nonconvex, and the purpose is to obtain the convergence of a solution of the discretized control problem to an optimal control of the relaxed continuous problem.

scholarly journals Nonlinearly constrained optimal control problems

1992 ◽  
Vol 33 (4) ◽  
pp. 517-530 ◽  
Author(s):  
K. L. Teo ◽  
K. H. Wong
Keyword(s):  
Optimal Control ◽  
General Class ◽  
State Constraints ◽  
Computational Algorithm ◽  
Optimal Control Problems ◽  
Control Problems ◽  
Constrained Optimal Control ◽  
Continuous State ◽  
Constraint Transcription ◽  
Inequality Type

AbstractIn a paper by Teo and Jennings, a constraint transcription is used together with the concept of control parametrisation to devise a computational algorithm for solving a class of optimal control problems involving terminal and continuous state constraints of inequality type. The aim of this paper is to extend the results to a more general class of constrained optimal control problems, where the problem is also subject to terminal equality state constraints. For illustration, a numerical example is included.

Regularization for state constrained optimal control problems by half spaces based decoupling

2012 ◽  
Vol 61 (6) ◽  
pp. 707-713 ◽  
Author(s):  
Baasansuren Jadamba ◽  
Akhtar A. Khan ◽  
Miguel Sama
Keyword(s):  
Optimal Control ◽  
Optimal Control Problems ◽  
Control Problems ◽  
Constrained Optimal Control
Sign in / Sign up

Export Citation Format

Share Document