Sensitivity Analysis and Optimal Control of Obstacle-Type Evolution Variational Inequalities

2019 ◽  
Vol 57 (1) ◽  
pp. 192-218 ◽  
Author(s):  
Constantin Christof
Keyword(s):  
Optimal Control ◽  
Sensitivity Analysis ◽  
Variational Inequalities ◽  
Evolution Variational Inequalities

scholarly journals Sensitivity analysis and optimal control of COVID-19 dynamics based on SEIQR model

2021 ◽  
Vol 22 ◽  
pp. 103956
Author(s):  
Takasar Hussain ◽  
Muhammad Ozair ◽  
Farhad Ali ◽  
Sajid ur Rehman ◽  
Taghreed A. Assiri ◽  
...  
Keyword(s):  
Optimal Control ◽  
Sensitivity Analysis

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.

Continuous hybridoma bioreactor: sensitivity analysis and optimal control

2006 ◽  
Vol 44 (2) ◽  
pp. 81 ◽  
Author(s):  
Irina Dana Ofiţeru ◽  
Vasile Lavric ◽  
Alexandru Woinaroschy
Keyword(s):  
Optimal Control ◽  
Sensitivity Analysis

scholarly journals Fractional-Order Modelling and Optimal Control of Cholera Transmission

2021 ◽  
Vol 5 (4) ◽  
pp. 261
Author(s):  
Silvério Rosa ◽  
Delfim F. M. Torres
Keyword(s):  
Mathematical Model ◽  
Optimal Control ◽  
Sensitivity Analysis ◽  
Fractional Order ◽  
Control Measures ◽  
Time Interval ◽  
Variable Order ◽  
Effectiveness Analysis ◽  
The Cost ◽  
Derivative Order

A Caputo-type fractional-order mathematical model for “metapopulation cholera transmission” was recently proposed in [Chaos Solitons Fractals 117 (2018), 37–49]. A sensitivity analysis of that model is done here to show the accuracy relevance of parameter estimation. Then, a fractional optimal control (FOC) problem is formulated and numerically solved. A cost-effectiveness analysis is performed to assess the relevance of studied control measures. Moreover, such analysis allows us to assess the cost and effectiveness of the control measures during intervention. We conclude that the FOC system is more effective only in part of the time interval. For this reason, we propose a system where the derivative order varies along the time interval, being fractional or classical when more advantageous. Such variable-order fractional model, that we call a FractInt system, shows to be the most effective in the control of the disease.

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