3. Consider a system described by the following state equation, -2x(t) x(t) -2 x (t) 2 3 + (3a) Determine the stability of the system. (3b) Design a state feedback controller u(t) = [F F2] x(t) [x (t)] so that the closed-loop system is stable, and the characteristic equation of the closed-loop system is s + 25ws + w = 0 with damping ratio 5 = 0.866 and natural frequency @n = 4 rad/s. (3c) Build a Simulink program to conduct the closed-loop system simulation with initial state x (0) x(0) Plot x(t), x2(t) on the same graph and u(t) on a separate graph.