3.4-1. Newton's system. Let where (q v) > 0. J x = x2, x2 = U, = 1/2 (x + 2vx1x2 + qx + u) dt, (la) (1b) (2) 4.2-2. Let v = : 0, q = 10 in Problem 3.4-1. It is desired to drive x(t) to a value of 10 at a final time of T = 5 if x (0) = 0. a. Set up the LQ regulator equations. Write subroutines simulating it for use with MATLAB. b. Solve analytically for the steady-state values of S, K, V, P.