1-14. For each of the following systems determine: (i) If the system is controllable. (ii) If the system is observable. (iii) The block diagram or signal flow graph of the system. Го x(t) + y(t) = x1(1). %3D

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1-14. For each of the following systems determine:
(i) If the system is controllable.
(ii) If the system is observable.
(iii) The block diagram or signal flow graph of the system.
(a) ±(1) = x() + ); 0) = x,().
x(t) +
u(t);
y(t) = x1(t).
%3D
ГО 17
x(t) +
Lo
(b) i(t)
u(t);
y(t) = x2(t).
0, Y() – [)
(c) The coupled circuit in Problem 1-9 with M
||
(d) The coupled circuit in Problem 1-9 with M 0.5H, L,
0.5H, R, = 2.02, R2
1.0H, L2
1.0 2, C = 0.5F, and y(t) = v.(t).
17
0 |x(t) +0 0 u(t);
-2
To 17
(e) i(t)
0 -1
-3 -4 -2
17
y(1) = x,(1).
_1 0_
ro 17
1 x(t) +0 0 u(t);
-2
(f) *(1) =
-1
y(t) = x1(1).
-3
0 -2
1
1
Cs
(g) ±(1)
x(1) +
1
u(t);
do
-a1
-a2
-a3
y(1) = x1(1); a,#0, i = 0, 1, 2, 3.
-15. What are the reguirements for the system
Transcribed Image Text:1-14. For each of the following systems determine: (i) If the system is controllable. (ii) If the system is observable. (iii) The block diagram or signal flow graph of the system. (a) ±(1) = x() + ); 0) = x,(). x(t) + u(t); y(t) = x1(t). %3D ГО 17 x(t) + Lo (b) i(t) u(t); y(t) = x2(t). 0, Y() – [) (c) The coupled circuit in Problem 1-9 with M || (d) The coupled circuit in Problem 1-9 with M 0.5H, L, 0.5H, R, = 2.02, R2 1.0H, L2 1.0 2, C = 0.5F, and y(t) = v.(t). 17 0 |x(t) +0 0 u(t); -2 To 17 (e) i(t) 0 -1 -3 -4 -2 17 y(1) = x,(1). _1 0_ ro 17 1 x(t) +0 0 u(t); -2 (f) *(1) = -1 y(t) = x1(1). -3 0 -2 1 1 Cs (g) ±(1) x(1) + 1 u(t); do -a1 -a2 -a3 y(1) = x1(1); a,#0, i = 0, 1, 2, 3. -15. What are the reguirements for the system
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