Geodesic
Optimization of one class of hyperbolic systems with smooth controls
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2009), pp. 71-76

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In this paper we consider the optimal control problem for a system of first-order hyperbolic equations. The right-hand side of this system is determined by a control system of ordinary differential equations. Admissible controls belong to the class of smooth functions. We obtain an optimality condition and propose a general scheme of improvement methods for the mentioned problem.
Keywords: hyperbolic systems, smooth controls, necessary optimality conditions, improvement method. 
@article{IVM_2009_7_a6,
     author = {A. V. Arguchintsev and V. P. Poplevko},
     title = {Optimization of one class of hyperbolic systems with smooth controls},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {71--76},
     publisher = {mathdoc},
     number = {7},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2009_7_a6/}
}
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A. V. Arguchintsev; V. P. Poplevko. Optimization of one class of hyperbolic systems with smooth controls. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2009), pp. 71-76. http://geodesic.mathdoc.fr/item/IVM_2009_7_a6/