Controllability and Observability of Inverted Pendulum on Cart 
Q1. What is the order of the system?
Q2. What is the input matrix of the differential equations system?
Q3. What is the transfer function of the given state space model of the system?
Q4. _________ is the smallest set of variables such that the knowledge of these variables at t=t0, together with the knowledge of the input for t ≥ t0, completely determines the behavior of the system for any t ≥ t0.
Q5. What is the state matrix of the given mechanical system?
