define an equation on Matlab

Hi

there is an equation like this for my project

I really can't define it

so this is my equation:

y(t)+y(t-1)+y(t-2)=u(t-1)+u(t-2)+e(t)

that y(t) is output

u(t) is input

& e(t) is error

thanx

Answer 1

[Ameer Hamza]

This is a difference equation. Simplest way is to use a for-loop

u = ones(100, 1); % using constant input;
e = rand(101, 1); % generating a random error vector
y = zeros(101, 1); % pre-allocating output vector

y(1) = 0;
y(2) = 0; % initial conditions
for t = 3:numel(y)
    y(t) = u(t-1)+u(t-2)+e(t)-y(t-1)-y(t-2);
end

[Hosein Haji Esmaeeli]

thanks