In mechanical systems, motion can be of different type i.e., Translational, Rotational or Combination of both. The equations governing such motion in mechanical systems are often directly or indirectly governed by Newton’s laws of motion.

The response of dynamic system to an input may be obtained if these differential equations are solved.

Same way electrical systems are governed by Kirchoff’s Law. The mathematical description of the dynamic characteristic of a system is called as mathematical model of a system.

Significance of mathematical modeling:

1. Control systems is the arrangement of physical elements and that physical elements are analysed to make governing equations

2. Mathematical modeling helps in easy analysis of control systems.

3. As mathematical model is in laplace domain it is easy to analyze big systems also.