linearization Definition
- 1the process of approximating a nonlinear system or function with a linear one in order to simplify analysis and control
- 2the process of transforming a nonlinear equation or system into a linear one
Using linearization: Examples
Take a moment to familiarize yourself with how "linearization" can be used in various situations through the following examples!
Example
The linearization of the system allowed for easier analysis of its behavior.
Example
The Taylor series expansion is a common method for linearizing nonlinear functions.
Example
Linearization is often used in control theory to design controllers for nonlinear systems.
linearization Synonyms and Antonyms
Synonyms for linearization
- linear approximation
- linear transformation
Summary: linearization in Brief
Linearization [lin-ee-uh-ruh-zey-shuhn] is the process of approximating a nonlinear system or function with a linear one in order to simplify analysis and control. It involves transforming a nonlinear equation or system into a linear one, often using methods like the Taylor series expansion. Linearization is commonly used in control theory to design controllers for nonlinear systems.
