 Transfer function

For a linear time-invariant system with zero initial data, the transfer function is the Laplace-domain ratio $G(s)=Y(s)/F(s)$. A rational causal system is BIBO stable when all poles lie in the open left half-plane.

A transfer function is a mathematical representation used in control theory and signal processing to describe the relationship between the input and output of a linear time-invariant (LTI) system in the frequency domain. It is typically expressed as a ratio of two polynomials.