Abstract
Consideration was given to a nonlinear problem of optimal impulsive control with impulsive actions of two types. Impulses were constrained in power and amplitude, and the first-type impulses were additionally constrained in their total number and repetition rate. This problem was shown to be reducible to an equivalent problem with ordinary (nonimpulsive) controls to which applicable are the classical results on existence of the optimal controls and the optimality conditions in the form of the principle of maximum.
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Original Russian Text © B.M. Miller, E.Ya. Rubinovich, 2009, published in Avtomatika i Telemekhanika, 2009, No. 11, pp. 34–54.
B.M. Miller acknowledges the support in part by the Australian Research Council (grant no. ARC DP0988685), and E.Ya. Rubinovich acknowledges the support of the Presidium of Russian Academy of Sciences (Program 29) and by the Russian Foundation for Basic Research (projects nos. 07-08-00739-a and 08-08-90026-Bel-a).
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Miller, B.M., Rubinovich, E.Y. Impulsive control with impulsive actions of two types. Autom Remote Control 70, 1795–1813 (2009). https://doi.org/10.1134/S0005117909110046
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DOI: https://doi.org/10.1134/S0005117909110046