Matlab Pendulum Linearisation & Stability Analysis

I'm working on a project involving a pendulum and require assistance with Matlab. The job involves both linearization and stability analysis of the pendulum system.

The project will involve:
- Calculating and scripting in Matlab
- Using relevant areas of mathematics, primarily linear algebra and control systems
- Identifying and calculating the two equilibrium points of the pendulum

Ideal skills and experience for this job:
- Proficiency in Matlab
- Strong background in linear algebra, differential equations and control systems
- Experience with dynamical and nonlinear systems
- Ability to calculate equilibrium points of a system.