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Optimal impulsive control problem with state and mixed constraints: The case of vector-valued measure

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Abstract

The paper is concerned with a nonlinear optimal impulsive control problem with trajectories of bounded variation. Vector Lebesgue-Stieltjes measures play the part of controls. Studied were state and mixed constraints in the conventional and fast times, as well as joint conditions for trajectory and impulsive control. A method of reduction to the classical problem of optimal control was developed relying on the discontinuous time reparameterization. The original and reduced problems were established to be equivalent.

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Authors and Affiliations

  1. Matrosov Institute for System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences, Irkutsk, Russia

    E. V. Goncharova & M. V. Staritsyn

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  1. E. V. Goncharova
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  2. M. V. Staritsyn
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Correspondence to E. V. Goncharova.

Additional information

Original Russian Text © E.V. Goncharova, M.V. Staritsyn, 2015, published in Avtomatika i Telemekhanika, 2015, No. 3, pp. 13–21.

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Goncharova, E.V., Staritsyn, M.V. Optimal impulsive control problem with state and mixed constraints: The case of vector-valued measure. Autom Remote Control 76, 377–384 (2015). https://doi.org/10.1134/S0005117915030029

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  • DOI: https://doi.org/10.1134/S0005117915030029

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