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Boundary control for hyperbolic systems involving infinite-order operators with control constraints (Retracted article. See vol. 28, pg. 143, 2011)
Journal article   Peer reviewed

Boundary control for hyperbolic systems involving infinite-order operators with control constraints (Retracted article. See vol. 28, pg. 143, 2011)

G. M. Bahaa
IMA journal of mathematical control and information, Vol.25(4), pp.491-505
01/12/2008
DOI: https://doi.org/10.1093/imamci/dnn005

Abstract

Automation & Control Systems Mathematics Mathematics, Applied Physical Sciences Science & Technology Technology
In this paper, a class of n x n hyperbolic boundary control problems with control constraints is investigated. We first establish the solvability of an n x n system with non-homogeneous mixed Neumann conditions involving hyperbolic operator of infinite order. Also a boundary control problem for this system is considered. The necessary and sufficient conditions for the control to be optimal are obtained. Two mathematical examples for derived optimality conditions are presented.

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