Conditions are proposed of the availability of the oscillation property in the sense of Yakubovich in a system with a nonlinear nominal portion enclosed by static nonlinear output feedback. A technique is worked out to calculate analytical estimates for the amplitude of oscillations in the system. The relation between estimates for the amplitude of oscillations and the index of excitability of the system with respect to the input is established. Examples are given of the computer modeling for systems of the 2nd and the 3rd order, including Van der Pol and Lorentz-systems confirming the applicability of the suggested solutions.
展开▼
机译：提出了在具有由静态非线性输出反馈包围的非线性标称部分的系统中的Yakubovich意义上的振荡特性的可用性的条件。研究出一种技术，可以计算出系统中振幅的解析估计值。建立振荡幅度的估计值与系统相对于输入的兴奋性指标之间的关系。给出了用于二阶和三阶系统的计算机建模示例，包括Van der Pol和Lorentz-systems确认了所建议解决方案的适用性。
展开▼
