Analyzed nonlinear system to determine linearized state space model and stability of the system
Analyzed nonlinear system to determine state plane portrait plot.Using "fminsearch" in MATALB code to determine equilibrium point. Using "linmod" in MATALB code to determine linearized state space model. Nonlinear system's eigenvalues, damping ratios, and natural frequencies where determine using linearized state space model. Analyzed system stability using g Lyapunov’s Direct Method and Lyapunov’s Non-Direct (Linearization) Method.