Bang-Bang Theorem for a Coupled ODE-PDE Control System


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An optimal control problem for a system of one dimensional hyperbolic conservation laws is considered. The system is controlled through the boundary condition, which depends on the state of a nonlinear control system. It is proven that the problem has an optimal solution; moreover, it admits ε-optimal solutions generated by bang-bang controls. Bibliography: 8 titles. Illustrations: 1 figure.

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N. Pogodaev

Matrosov Institute for System Dynamics and Control Theory SB RAS

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Email: n.pogodaev@icc.ru
Rússia, 134, Lermontov St., Irkutsk, 664033

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