linearization of nonlinear system

Linearization is the process of approximating a nonlinear system by a linear one around an operating point using a Taylor series expansion.

Linearization is a method used to simplify the analysis and control of nonlinear systems by approximating them with a linear model around a specific operating point (usually an equilibrium point).

Since nonlinear equations are often complex and difficult to solve, linearization uses a first-order Taylor series expansion to express the system in a linear form that closely represents its behavior for small deviations from that point.