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    覃功泉, 夏宁茂, 邵惠鹤. 一类非线性系统分析的新方法——斜波脉冲函数的应用[J]. 华东理工大学学报(自然科学版), 1991, (2).
    引用本文: 覃功泉, 夏宁茂, 邵惠鹤. 一类非线性系统分析的新方法——斜波脉冲函数的应用[J]. 华东理工大学学报(自然科学版), 1991, (2).
    Analysis of a Class of Nonlinear Systems Via Slope Pulse Functions Approach[J]. Journal of East China University of Science and Technology, 1991, (2).
    Citation: Analysis of a Class of Nonlinear Systems Via Slope Pulse Functions Approach[J]. Journal of East China University of Science and Technology, 1991, (2).

    一类非线性系统分析的新方法——斜波脉冲函数的应用

    Analysis of a Class of Nonlinear Systems Via Slope Pulse Functions Approach

    • 摘要: 利用斜波脉冲函数的线性化特性和简洁的运算规则,本文将一类非线性系统转化为双线性系统然后进行分析和求解。与泰勒展开等其它方法相比较,所提出的方法不仅近似精度高,且不受范围限制,对被近似的函数无可微分的要求。所推导的算法还具有连续递推的功能,很适合用计算机进行求解。

       

      Abstract: This paper presents a new method for analysis of a class of nonlinear systems. By the linearity and operation rules of the Slope Pulse Functions, this system cart be changed into a bilinear system, which can be solved numerically. This approach is superior to others, and one example is given to illustrate its efficiency.

       

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