Abstract
The Goursat-Darboux stepwise problem of systems control, i.e., the multi-stage problem of control of systems with distributed parameters, is considered. Second-order formulas for the increment in the quality functional are constructed. In investigating these formulas on needle variations in the control, a number of necessary Pontryagin maximum principle-type optimality conditions is obtained and a singular case is studied.
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Original Russian Text © S.A. Bagirova, K.B. Mansimov, 2007, published in Avtomatika i Vychislitel’naya Tekhnika, 2007, No. 3, pp. 74–81.
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Bagirova, S.A., Mansimov, K.B. Singular controls in a given stepwise control problem. Aut. Conrol Comp. Sci. 41, 172–178 (2007). https://doi.org/10.3103/S014641160703008X
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DOI: https://doi.org/10.3103/S014641160703008X