Geodesic
Positional impulse and discontinuous controls for differential inclusion
Ural mathematical journal, Tome 6 (2020) no. 2, pp. 68-75

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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. 
@article{UMJ_2020_6_2_a6,
     author = {Ivan A. Finogenko and Alexander N. Sesekin},
     title = {Positional impulse and discontinuous controls for differential inclusion},
     journal = {Ural mathematical journal},
     pages = {68--75},
     publisher = {mathdoc},
     volume = {6},
     number = {2},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UMJ_2020_6_2_a6/}
}
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Ivan A. Finogenko; Alexander N. Sesekin. Positional impulse and discontinuous controls for differential inclusion. Ural mathematical journal, Tome 6 (2020) no. 2, pp. 68-75. http://geodesic.mathdoc.fr/item/UMJ_2020_6_2_a6/