5) Consider the following nonlinear system x -x1+x3 x2 = -x2+u mi Using the Lyapunov function V = x + 12, find the control u that will stabilize this system. 6) Describe step by step (in words) the A* grid-based search algorithm. What are cons of this method? 7) Describe step by step (in words) the Probabilistic Road Map (PRM) sampling-based motion planning method. What are the cons of this method? 8) Describe step by step (in words) the Rapidly-exploring Random Tree (RRT) sampling-based motion planning method. What are the cons of this method? er id