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广义点变换法是在差分相平面法和连续非线性系统的点变换法的基础上提出来的.它可用来全面地研究二阶非线性脉冲系统的自振荡工作(也可考虑推广到三阶).和所列文献中各方法比较,不但在研究相轨迹的换接过程中要简便得多,而且能解决其它方法所不能解决的问题,既确定自振荡的稳定区域. 本文用广义点变换法详尽地研究了二阶非线性具有滞后环节的脉冲系统,绘制了曲线,利用它可很快地差别自振荡.此外,还推求了自振荡的稳定区域.
The generalized point transform method is based on the differential phase plane method and the point transform method of the continuous nonlinear system, and it can be used to study the self-oscillation of the second-order nonlinear impulsive system comprehensively Compared with the methods listed in the literature, it is not only easier to study the phase trajectory but also can solve the problems that other methods can not solve, not only to determine the stable region of self-oscillation.This paper uses the generalized point transform The law investigates in detail the second-order nonlinear impulsive systems with hysteresis and plots the curves, which allow for rapid self-oscillation, as well as the stable region of self-oscillation.