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Asymptotic method for solving the time-optimal control problem for a nonlinear singularly perturbed system

โœ Scribed by Ya. O. Grudo; A. I. Kalinin


Book ID
110195963
Publisher
SP MAIK Nauka/Interperiodica
Year
2008
Tongue
English
Weight
183 KB
Volume
48
Category
Article
ISSN
0965-5425

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โœ V Gaitsgory; G Grammel ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 459 KB

We construct asymptotically optimal controls for singularly perturbed nonlinear systems, where both, the slow and the fast motions are controlled. For this purpose we give necessary optimality conditions for an averaged system for the slow motion.