Recent content by robijnix

edit: you aren't proving it's LTI, you proving it COULD be lti Homework Statement the question: could the following system be LTI? x(t)=-5cos(2t) --> y(t)=exp(-2tj)Homework Equations the chapter is about eigenfunctions of LTI systems, which are of the form exp(st).The Attempt at a Solution So...

Never mind i found out the problem. my matrix A doesn't statisfy A(t1)A(t2)=A(t2)A(t1), in which case the above formula is not valid

1. how do i solve X'(t)=A(t)X(t) Homework Equations I know of this equation: x(t) = x_0 \exp\left( \int_{t_0}^t f(\xi) \, d\xi \right) but i think that I'm using it wrong. The Attempt at a Solution i have the following mathematica code: A= x = MatrixExp[Integrate[A, {t, 0, s}]].{1, 0,0,0}...