Continuous dependence on parameters and boundedness of solutions to a hysteresis system

Alexander M. Kamachkin; Dmitriy K. Potapov; Victoria V. Yevstafyeva

Applications of Mathematics (2022)

  • Volume: 67, Issue: 1, page 65-80
  • ISSN: 0862-7940

Abstract

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We analyze an ordinary differential system with a hysteresis-relay nonlinearity in two cases when the system is autonomous or nonautonomous. Sufficient conditions for both the continuous dependence on the system parameters and the boundedness of the solutions to the system are obtained. We give a supporting example for the autonomous system.

How to cite

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Kamachkin, Alexander M., Potapov, Dmitriy K., and Yevstafyeva, Victoria V.. "Continuous dependence on parameters and boundedness of solutions to a hysteresis system." Applications of Mathematics 67.1 (2022): 65-80. <http://eudml.org/doc/298247>.

@article{Kamachkin2022,
abstract = {We analyze an ordinary differential system with a hysteresis-relay nonlinearity in two cases when the system is autonomous or nonautonomous. Sufficient conditions for both the continuous dependence on the system parameters and the boundedness of the solutions to the system are obtained. We give a supporting example for the autonomous system.},
author = {Kamachkin, Alexander M., Potapov, Dmitriy K., Yevstafyeva, Victoria V.},
journal = {Applications of Mathematics},
keywords = {ODE system; hysteresis relay; external disturbance; bounded solution; periodic solution},
language = {eng},
number = {1},
pages = {65-80},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Continuous dependence on parameters and boundedness of solutions to a hysteresis system},
url = {http://eudml.org/doc/298247},
volume = {67},
year = {2022},
}

TY - JOUR
AU - Kamachkin, Alexander M.
AU - Potapov, Dmitriy K.
AU - Yevstafyeva, Victoria V.
TI - Continuous dependence on parameters and boundedness of solutions to a hysteresis system
JO - Applications of Mathematics
PY - 2022
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 67
IS - 1
SP - 65
EP - 80
AB - We analyze an ordinary differential system with a hysteresis-relay nonlinearity in two cases when the system is autonomous or nonautonomous. Sufficient conditions for both the continuous dependence on the system parameters and the boundedness of the solutions to the system are obtained. We give a supporting example for the autonomous system.
LA - eng
KW - ODE system; hysteresis relay; external disturbance; bounded solution; periodic solution
UR - http://eudml.org/doc/298247
ER -

References

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