% Computes the step response of a linear system function X = simple_step(A,B,DT,N) n = size(A,1); Ad = expm( full( A * DT ) ); Bd = ( Ad - eye(n) ) * B; Bd = A \ Bd; X = zeros(n,N); for k = 2 : N, X(:,k) = Ad*X(:,k-1)+Bd; end