用移位chebyshev正交多项式分析非线性时延系统

ANALYSIS OF THE NONLINEAR TIME—DELAY SYSTEM BY SHIFTED CHEBYSHEV POLYNOMIALS

本文有效地将移位chebyshev正交多项式应用于非线性时延系统的分析,给出移位chebyshev正交多项式的积分运算矩阵和时延矩阵,并将chebyshev正交多项式用于非线性时延系统的分析,将非线性时延系统的状态微分方程,转化为线性代数矩阵方程,从而完成了对非线性时延系统的分析,大大地简化计算量。给出实例说明这种方法的简便性,有效性。

Shifted chebyshev polynomials are applied to analyse the nonlinear time-delay systems. Shifted chebyshev integral operational matrix and delayed matrix are intruduced so that the solution of nonlinear time-delay state equation is reduced to the solution of a linear algebraic matrix equation. Hence, computation difficulties are considerably reduced. Example is given.