广义点变换法用于研究非綫性脉冲系統
MODIFIED METHOD OF POINT TRANSFORMATION FOR THE STUDY OF NONLINEAR DISCRETE SYSTEMS
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摘要: 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.Abstract: Phase-plane method has been proved to be an effective method for the study of nonlinear continuous systems. In recent years, it has also been used in nonlinear discrete systems by number of authors.This paper presents a"modified method of point transformation"for the study of second-order nonlinear discrete systems. It is not only much simplier than the methods previously developed, but also can be used to solve the problems of determining the region of stability of self-oscillation.
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