Applications of Mathematics, first online, pp. 1-16
Continuous dependence on parameters and boundedness of solutions to a hysteresis system
Alexander M. Kamachkin, Dmitriy K. Potapov, Victoria V. Yevstafyeva
Received March 22, 2020. Published online February 18, 2021.
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.