First Order Linear Time Invariant (LTI) Plant Identification

The continuous-time model of a first order LTI system is given by:

$$\dot{x} = a_c x + b_c u = -\frac{1}{\tau} (x +gu)$$

which is discretized as

$$x_{k+1} = a_d x_k + b_d u_k$$

FeedForward sklearn code

FeedForward keras code

RNN: keras code