Bukov, V. N.; Sizykh, V. N. Approximate synthesis of the optimal control in a degenerate problem of the analytic construction of controllers. (English. Russian original) Zbl 1063.49508 Autom. Remote Control 60, No. 12, Part 1, 1686-1699 (1999); translation from Avtom. Telemekh. 1999, No. 12, 16-32 (1999). Summary: The problem of analytic construction of optimal controllers for nonlinear objects is considered. In order to develop a method associated with the minimization of the generalized work functional, we propose transforming the original problem to a degenerate one, and choose a suitable strategy of its solution, such as the construction of minimizing sequences that converge interval-wise to the optimal process of the original problem. An illustrative example is given. Cited in 1 Document MSC: 49N35 Optimal feedback synthesis 93B50 Synthesis problems Keywords:generalized work functional; optimal control; minimizing sequences PDFBibTeX XMLCite \textit{V. N. Bukov} and \textit{V. N. Sizykh}, Autom. Remote Control 60, No. 12, Part 1, 1686--1699 (1999; Zbl 1063.49508); translation from Avtom. Telemekh. 1999, No. 12, 16--32 (1999)