scholarly journals Optimal control of infinite dimensional bilinear systems: application to the heat and wave equations

2016 ◽  
Vol 168 (1-2) ◽  
pp. 717-757 ◽  
Author(s):  
M. Soledad Aronna ◽  
J. Frédéric Bonnans ◽  
Axel Kröner
Keyword(s):  
Optimal Control ◽  
Wave Equations ◽  
Bilinear Systems ◽  
Infinite Dimensional

scholarly journals Regional control problem for distributed bilinear systems: Approach and simulations

2011 ◽  
Vol 21 (3) ◽  
pp. 499-508 ◽  
Author(s):  
Karima Ztot ◽  
El Zerrik ◽  
Hamid Bourray
Keyword(s):  
Optimal Control ◽  
Control Problem ◽  
Numerical Algorithm ◽  
Systems Approach ◽  
Bilinear Systems ◽  
Infinite Dimensional ◽  
Regional Control ◽  
Distributed Bilinear Systems

Regional control problem for distributed bilinear systems: Approach and simulationsThis paper investigates the regional control problem for infinite dimensional bilinear systems. We develop an approach that characterizes the optimal control and leads to a numerical algorithm. The obtained results are successfully illustrated by simulations.

scholarly journals On a Class of Differential Variational Inequalities in Infinite-Dimensional Spaces

Mathematics ◽  
2021 ◽  
Vol 9 (3) ◽  
pp. 266 ◽  
Author(s):  
Savin Treanţă
Keyword(s):  
Optimal Control ◽  
Variational Inequality ◽  
Variational Inequalities ◽  
Optimal Control Theory ◽  
Infinite Dimensional ◽  
Nash Games ◽  
New Class ◽  
Set Valued Mappings ◽  
Differential Variational Inequalities ◽  
Theoretical Developments

A new class of differential variational inequalities (DVIs), governed by a variational inequality and an evolution equation formulated in infinite-dimensional spaces, is investigated in this paper. More precisely, based on Browder’s result, optimal control theory, measurability of set-valued mappings and the theory of semigroups, we establish that the solution set of DVI is nonempty and compact. In addition, the theoretical developments are accompanied by an application to differential Nash games.

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