Boundary control problem for hyperbolic systems involving operators of infinite number of variables with control constraints

摘要

In this paper, we first establish the solvability of an (n × n) hyperbolic systems with non-homogeneous mixed Neumann conditions involving operators of second order with an innite number of variables. Also a boundary control problem for these systems is considered. The optimality conditions are obtained and the set of inequalities that characterize these conditions is formulated.