ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

The Exact Controllability Problem for the Second Order Linear Hyperbolic Equation


H. F. Guliyev

Baku State University,
23, Z.Khalilov str., AZ1148,
Baku, Azerbaijan

K. Sh. Jabbarova

Institute of Mathematics and Mechanics of NAS of Azerbaijan,
9, F.Agayev str.,
AZ1141, Baku, Azerbaijan


We consider a problem of exact controllability in the processes described by the second order linear hyperbolic equation with boundary control. Using Hilbert uniqueness method [1], we introduce an auxiliary boundary value problem. By means of this problem it is shown that after certain threshold time moment the considered system is controllable. Unlike [2] we consider nonhomogeneous hyperbolic equation. Note that different approaches have been applied to the solution of such kind of problems in, for instance, [3, 4]

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