Continuous dependence on parameters and boundedness of solutions to a hysteresis system
Аlexander M. Kamachkin, D. K. Potapov, V. V. Yevstafyeva
Abstract
summary: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.
Topics & Concepts
MathematicsHysteresisApplied mathematicsMathematical analysisCondensed matter physicsPhysicsPiezoelectric Actuators and ControlMagnetic Properties and ApplicationsModel Reduction and Neural Networks