Existence of optimal control for an integro‐differential Bolza problem

2020 ◽  
Vol 41 (5) ◽  
pp. 1604-1615
Author(s):  
Dariusz Idczak ◽  
Stanisław Walczak
Keyword(s):  
Optimal Control ◽  
Bolza Problem ◽  
Existence Of Optimal Control

On the existence of optimal control of temperature regimes

2009 ◽  
Vol 158 (2) ◽  
pp. 219-227 ◽  
Author(s):  
D. A. Lashin
Keyword(s):  
Optimal Control ◽  
Temperature Regimes ◽  
Existence Of Optimal Control

scholarly journals Fractional Stochastic Differential Equations with Hilfer Fractional Derivative: Poisson Jumps and Optimal Control

2017 ◽  
Vol 2017 ◽  
pp. 1-11 ◽  
Author(s):  
Fathalla A. Rihan ◽  
Chinnathambi Rajivganthi ◽  
Palanisamy Muthukumar
Keyword(s):  
Optimal Control ◽  
Fractional Derivative ◽  
Existence And Uniqueness ◽  
Mild Solutions ◽  
Poisson Jumps ◽  
Hilfer Fractional Derivative ◽  
Analysis Techniques ◽  
Mild Conditions ◽  
Fractional Stochastic Differential Equations ◽  
Existence Of Optimal Control

In this work, we consider a class of fractional stochastic differential system with Hilfer fractional derivative and Poisson jumps in Hilbert space. We study the existence and uniqueness of mild solutions of such a class of fractional stochastic system, using successive approximation theory, stochastic analysis techniques, and fractional calculus. Further, we study the existence of optimal control pairs for the system, using general mild conditions of cost functional. Finally, we provide an example to illustrate the obtained results.

scholarly journals Linear-quadratic optimization and some general hypotheses on optimal control

1999 ◽  
Vol 5 (4) ◽  
pp. 275-289 ◽  
Author(s):  
L. I. Rozonoer
Keyword(s):  
Optimal Control ◽  
Initial Data ◽  
Optimization Problem ◽  
Sufficient Conditions ◽  
Quadratic Optimization ◽  
Necessary And Sufficient Conditions ◽  
Maximum Condition ◽  
Linear Quadratic ◽  
Existence Of Optimal Control ◽  
Necessary And Sufficient

Necessary and sufficient conditions for existence of optimal control for all initial data are proved forLQ-optimization problem. If these conditions are fulfilled, necessary and sufficient conditions of optimality are formulated. Basing on the results, some general hypotheses on optimal control in terms of Pontryagin's maximum condition and Bellman's equation are proposed.

Existence of optimal control for non-linear systems with an implicit derivative

1993 ◽  
Vol 14 (2) ◽  
pp. 145-152
Author(s):  
J. P. Dauer ◽  
K. Balachandran
Keyword(s):  
Optimal Control ◽  
Linear Systems ◽  
Non Linear ◽  
Non Linear Systems ◽  
Existence Of Optimal Control

scholarly journals Existence and Convergence Results for Generalized Mixed Quasi-Variational Hemivariational Inequality Problem

Symmetry ◽  
2021 ◽  
Vol 13 (10) ◽  
pp. 1882
Author(s):  
Shih-Sen Chang ◽  
Salahuddin ◽  
Lin Wang ◽  
Gang Wang ◽  
Yunhe Zhao
Keyword(s):  
Optimal Control ◽  
Variational Inequality ◽  
Hilbert Spaces ◽  
Hemivariational Inequalities ◽  
Convergence Problem ◽  
The Third ◽  
Convergence Results ◽  
Quasi Variational Inequality ◽  
Existence Of Optimal Control ◽  
The Relationship

The main purpose of this paper is threefold. One is to study the existence and convergence problem of solutions for a class of generalized mixed quasi-variational hemivariational inequalities. The second one is to study the existence of optimal control for such kind of generalized mixed quasi-variational hemivariational inequalities under given control u∈U. The third one is to study the relationship between the optimal control and the data for the underlying generalized mixed quasi-variational inequality problems and a class of minimization problem. As an application, we utilize our results to study the elastic frictional problem in a class of Hilbert spaces. The results presented in the paper extend and improve upon some recent results.

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