TITLE:
Distributed Control for n × n Cooperative Systems Governed by Hyperbolic Operator of Infinite Order
AUTHORS:
A. H. Qamlo
KEYWORDS:
Cooperative Systems, Hyperbolic Systems, Optimal Control, Infinite Order, Distributed Control Problem, Dirichlet Conditions
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.10 No.12,
December
23,
2020
ABSTRACT: 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.