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Continuous Dependence on Parameters and Boundedness of Solutions to a Hysteresis System
Applications of Mathematics ( IF 0.6 ) Pub Date : 2021-02-18 , DOI: 10.21136/am.2021.0085-20
Alexander M. Kamachkin , Dmitriy K. Potapov , Victoria V. Yevstafyeva

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.



中文翻译:

连续依赖于磁滞系统的参数和解的有界性

当系统是自治的或非自治的两种情况下,我们分析具有滞后继电器非线性的普通微分系统。获得了连续依赖系统参数和系统解的有界性的充分条件。我们为自治系统提供了一个支持的例子。

更新日期:2021-04-06
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