👉 In mathematics, a linearised system is an expression of a system as if it were a linear system. It is used when analyzing systems with time-varying inputs and outputs, where the system's output depends on its input through some nonlinear function. The goal of linearising the system is to simplify the analysis by reducing the complexity of the system. Linearised systems are often used in signal processing and control theory to model complex dynamical systems that have a non-linear relationship between their input and output