Optimal Control for n X n Coupled Parabolic Systems with Control-Constrained and Infinite Number of Variables
The main goal of this paper, by using the theorems of Lions, J.L. et al.[21, 22], is to study a distributed control problem for n x n coupled systems of parabolic type with an infinite number of variables. Yet the problem considered there is more general than the one in [1-8,10,11,13,20]. The controls are allowed to be in the space n. The necessary and sufficient conditions for optimality of the control are obtained and the set of inequalities that defining the optimal control of these systems are also obtained. Several mathematical examples for derived optimality conditions are presented.
Disclaimer/Regarding indexing issue:
We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information. Also: DOI is paid service which provided by a third party. We never mentioned that we go for this for our any journal. However, journal have no objection if author go directly for this paid DOI service.