Procedings of the 3nd International Conference "Mathematical Physics and its Applications"
Equations of Mathematical Physics

Boundary control for the processes, described by hyperbolic systems

A. A. Andreev, E. A. Kozlova, S. V. Leksina

Samara State Technical University, Samara, 443100, Russia

Abstract: The boundary control problem for the system of hyperbolic equations with the mixed derivative is considered. The control is provided by the displacement (in the conditions of the first boundary-value problem). The coefficient matrices of different structure are explored for the system. The commutativity of these coefficients is the essential condition. If the matrices couldn't be brought to the diagonal form simultaneously, it's offered to use special differential operators for representation of the necessary problems solutions.

Keywords: boundary control, system of hyperbolic equations, mixed derivative, Jordan canonical form, Jordan cell.

UDC: 517.956.3

MSC: Primary 35L20, 35B37; Secondary 35Q93, 35L51

Original article submitted 19/XI/2012
revision submitted – 15/I/2013

DOI: 10.14498/vsgtu1190

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