Abstract
For control and observation problems considered for operator equations of the first kind in Banach spaces, an controllability criterion is stated. In the case of reflexive strictly convex (B)-spaces, the BUME method and the method of monotone mappings are used to find optimal controls and an abstract maximum principle is formulated. The indicated problems for ODE systems in \({{\mathbb{R}}^{n}}\) are investigated as an example.
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Translated by I. Ruzanova
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Prilepko, A.I. Controllability and Optimal Controllability for Operator Equations of the First Kind in (B)-Spaces: Examples for ODE in \({{\mathbb{R}}^{n}}\) . Dokl. Math. 99, 152–155 (2019). https://doi.org/10.1134/S1064562419020091
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DOI: https://doi.org/10.1134/S1064562419020091