scholarly journals On the convergence of min/sup points in optimal control problems

2001 ◽  
Vol 6 (1) ◽  
pp. 35-52
Author(s):  
Adib Bagh
Keyword(s):  
Optimal Control ◽  
Large Class ◽  
Optimal Control Problems ◽  
Control Problems ◽  
Finite Dimensional ◽  
Lopsided Convergence ◽  
Definition Of ◽  
Stability Results ◽  
Convex Control

We modify the definition of lopsided convergence of bivariate functionals to obtain stability results for the min/sup points of some control problems. In particular, we develop a scheme of finite dimensional approximations to a large class of non-convex control problems.

On the Iterative Solution Methods for Finite-Dimensional Inclusions with Applications to Optimal Control Problems

2010 ◽  
Vol 10 (3) ◽  
pp. 283-301 ◽  
Author(s):  
E. Laitinen ◽  
A. Lapin ◽  
S. Lapin
Keyword(s):  
Optimal Control ◽  
Optimal Control Problems ◽  
Control Function ◽  
Elliptic Boundary ◽  
Iterative Algorithms ◽  
Iterative Solution ◽  
Control Problems ◽  
Constrained Optimal Control ◽  
Finite Dimensional ◽  
The Right

AbstractIterative methods for finite-dimensional inclusions which arise in applying a finite-element or a finite-difference method to approximate state-constrained optimal control problems have been investigated. Specifically, problems of control on the right- hand side of linear elliptic boundary value problems and observation in the entire domain have been considered. The convergence and the rate of convergence for the iterative algorithms based on the finding of the control function or Lagrange multipliers are proved.

scholarly journals Stability and solvability for a class of optimal control problems described by non-instantaneous impulsive differential equations

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Yi Chen ◽  
Kaixuan Meng
Keyword(s):  
Optimal Control ◽  
Differential Equations ◽  
Optimal Control Problems ◽  
Impulsive Differential Equations ◽  
State Equation ◽  
Control Problems ◽  
Existence And Stability ◽  
Control Set ◽  
The Stability ◽  
Stability Results

Abstract In this paper, we investigate the existence and stability of solutions for a class of optimal control problems with 1-mean equicontinuous controls, and the corresponding state equation is described by non-instantaneous impulsive differential equations. The existence theorem is obtained by the method of minimizing sequence, and the stability results are established by using the related conclusions of set-valued mappings in a suitable metric space. An example with the measurable admissible control set, in which the controls are not continuous, is given in the end.

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