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Boundary control problem for hyperbolic systems involving operators of infinite number of variables with control constraints
Journal article   Peer reviewed

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

G. M. Bahaa
Journal of information & optimization sciences, Vol.39(6), pp.1263-1282
18/08/2018
DOI: https://doi.org/10.1080/02522667.2017.1411015

Abstract

(n × n) hyperbolic systems 49J20 Boundary control problems Existence and uniqueness of solutions Neumann conditions Operators with an infinite number of variables
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.

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