Considera el siguiente sistema:

10. Consider the system x(t) = Ax(t) + Bu(t); y(t) = Cx(t), where A, B and C are as specified below. Verify whether this system is controllable, stabilizable, observable and/or detectable if O O (a) A = 0 0 0 ( b) A = J. B- [ 1 . C- 12 -1 (c) A = B = 0 , C= [1 0]; (d) A = A B = 1 , C= [1 0]; 0 (e) A = - 2 B = , C= [1 0]