How can ı solve this difference equation ?
显示 更早的评论
Consider the difference equation:
x(k + 2) - 1.3679x(k + 1) + 0.3679x(k) = 0.3679u(k + 1) + 0.2642u(k) where x(k) = 0 for k ≤0. The input u(k) is given by
u(k) = 0, k<0
u(0) = 1.5820
u(1) = -0.5820
u(k) = 0, k = 2,3,4,...
Determine the output x(k). Solve this problem both analytically and computationally with MATLAB
采纳的回答
um2 = 0;
um1 = 0;
u0 = 1.5820;
u1 = -0.5820;
u2 = 0;
xm2 = 0;
xm1 = 0;
x0 = 1.3679*xm1 - 0.3679*xm2 + 0.3679*um1 + 0.2642*um2
x1 = 1.3679*x0 - 0.3679*xm1 + 0.3679*u0 + 0.2642*um1
x2 = 1.3679*x1 - 0.3679*x0 + 0.3679*u1 + 0.2642*u0
x3 = 1.3679*x2 - 0.3679*x1 + 0.3679*u2 + 0.2642*u1
So you have x2 and x3 and the formula for xk (k>=2) reads
x(k+2) - 1.3679*x(k+1) + 0.3679*x(k) = 0
Can you take it from here ?
更多回答（0 个）
类别
在 帮助中心 和 File Exchange 中查找有关 Numerical Integration and Differential Equations 的更多信息
Translated by 
