Author(s)

A. H. Qamlo

Mathematical Sciences Department, Faculty of Applied Sciences, Umm AL-Qura University, Makkah, Saudi Arabia.

In this study, a distributed optimal control problem for n × n cooperative hyperbolic systems with infinite order operators and Dirichlet conditions are considered. The existence and uniqueness of the state of these systems are proved. The necessary and sufficient conditions for optimality of distributed control with constraints are found, and the set of equations and inequalities that defining the optimal control of these systems is also obtained. Finally, some examples for the control problem without constraints are given.

Cooperative Systems, Hyperbolic Systems, Optimal Control, Infinite Order, Distributed Control Problem, Dirichlet Conditions

Qamlo, A. (2020) Distributed Control for n × n Cooperative Systems Governed by Hyperbolic Operator of Infinite Order. Advances in Pure Mathematics, 10, 728-738. doi: 10.4236/apm.2020.1012045.