Describe the dynamical systems in state-space representations. (a) 3 points. For the following system described by the given transfer function, derive valid state-space realization (define the state variables and derive the state-space representation): G(s) = Y(s) U(s) 4s s +5s - 1 2s4 +2s - 4s +6 (b) 3 points. Given the following differential equations, derive valid state-space realization with u = [u_u] and y = [y32] (define the state variables and derive the state-space representation): (t) + 2 (t) 5(y2(t) y(t)) = u(t) (t) + y (t) 42(t) 3(y(t) y (t)) = u(t)