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Degenerate problems of optimal control for discrete-continuous (hybrid) systems

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Abstract

The notion of the degenerate problem of optimal control for the discrete-continuous systems was formulated. The main approaches to the problems of this class that were developed for the uniform continuous and discrete systems such as the transformations to the derivative systems and the method of multiple maxima, a special technique to define the Krotov functions under the like sufficient conditions, were extended to the discrete-continuous systems. The fields of possible efficient applications were indicated, and an example was presented.

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Authors and Affiliations

  1. Siberian Academy of Law, Economics, and Management, Irkutsk, Russia

    I. V. Rasina

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  1. I. V. Rasina
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Original Russian Text © I.V. Rasina, 2013, published in Avtomatika i Telemekhanika, 2013, No. 2, pp. 38–52.

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Rasina, I.V. Degenerate problems of optimal control for discrete-continuous (hybrid) systems. Autom Remote Control 74, 196–206 (2013). https://doi.org/10.1134/S0005117913020033

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