多延时时变系统的Taylor级数分析

研究了用Toylor级数对多延时时变系统的近似求解。通过使用延时、乘积及积分运算矩阵,将系统求解简化为解一组联立方程组,为多延时时变系统的分析与设计提供了又一条途径。所给出的算法适合计算机实现。文中的算例验证了本文方法的有效性。

ANALYSIS OF MULTI-DELAY SYSTEMS WITH TIME-VARYING COEFFICIENTS BY TAYLOR SERIES

The Taylor series method for approximately solving multi-delay systems with time-varying coefficients is reported.The method based on the truncated Taylor series and its operational matrices for multiplication, integration and delay simplifies the systems into a set of algebraic simultaneous equations.The correct multiplication operational matrix is derived for the first time in this paper.A wider class of time-varying multi-delay systems can be considered.The method is suitable for computer calculation and the effectiveness is demonstrated through an illustrative example.This paper gives another way for the analysis and design of time varying multi-delay systems.