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This article is cited in 2 scientific papers (total in 2 papers)
Positional impulse and discontinuous controls for differential inclusion
Ivan A. Finogenkoa, Alexander N. Sesekinbc a Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences, Irkutsk
b Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
c Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
Abstract:
Nonlinear control systems presented in the form of differential inclusions with impulse or discontinuous positional controls are investigated. The formalization of the impulse-sliding regime is carried out. In terms of the jump function of the impulse control, the differential inclusion is written for the ideal impulse-sliding regime. The method of equivalent control for differential inclusion with discontinuous positional controls is used to solve the question of the existence of a discontinuous system for which the ideal impulse-sliding regime is the usual sliding regime. The possibility of the combined use of the impulse-sliding and sliding regimes as control actions in those situations when there are not enough control resources for the latter is discussed.
Keywords:
impulse position control, discontinuous position control, differential inclusion, impulse-sliding regime, sliding regime.
Citation:
Ivan A. Finogenko, Alexander N. Sesekin, “Positional impulse and discontinuous controls for differential inclusion”, Ural Math. J., 6:2 (2020), 68–75
Linking options:
https://www.mathnet.ru/eng/umj127 https://www.mathnet.ru/eng/umj/v6/i2/p68
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Abstract page: | 97 | Full-text PDF : | 29 | References: | 16 |
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