Geodesic
Periodic modes in an automatic control system with a three-position hysteresis relay
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 18 (2022) no. 4, pp. 596-607

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We consider an automatic control system with a three-position hysteresis relay and a continuous periodic external perturbation. The existence theorem is established that provide domains in the space of system parameters, including the parameters of the relay and perturbation, to which periodic modes having a pass to saturation zones with given periods and a specified configuration of phase trajectories correspond.
Keywords: automatic control system, three-position hysteresis relay, periodic external perturbation, periodic mode, phase trajectory. 
@article{VSPUI_2022_18_4_a12,
     author = {V. V. Yevstafyeva and A. M. Kamachkin and D. K. Potapov},
     title = {Periodic modes in an automatic control system with a three-position hysteresis relay},
     journal = {Vestnik Sankt-Peterburgskogo universiteta. Prikladna\^a matematika, informatika, processy upravleni\^a},
     pages = {596--607},
     publisher = {mathdoc},
     volume = {18},
     number = {4},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSPUI_2022_18_4_a12/}
}
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V. V. Yevstafyeva; A. M. Kamachkin; D. K. Potapov. Periodic modes in an automatic control system with a three-position hysteresis relay. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 18 (2022) no. 4, pp. 596-607. http://geodesic.mathdoc.fr/item/VSPUI_2022_18_4_a12/