Controllability and Observability of Inverted Pendulum on Cart 
Q1. What is the order of the system?
Q2. For the system 
with state variables 
and state matrix 
, find the input matrix assuming a state space model 
that absorbs 
into the input matrix.
with state variables and state matrix , find the input matrix assuming a state space model that absorbs into the input matrix.
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?
