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The Bubnov–Galerkin method in control problems for bilinear systems

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Abstract

We suggest to apply the Bubnov–Galerkin method to solving control problems for bilinear systems. We reduce the solution of a control problem to a finite-dimensional system of linear problem of moments. We show a specific example of applying this procedure and give its numerical solution.

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Original Russian Text © As.Zh. Khurshudyan, 2015, published in Avtomatika i Telemekhanika, 2015, No. 8, pp. 46–55.

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Khurshudyan, A.Z. The Bubnov–Galerkin method in control problems for bilinear systems. Autom Remote Control 76, 1361–1368 (2015). https://doi.org/10.1134/S0005117915080032

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  • DOI: https://doi.org/10.1134/S0005117915080032

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