8.8 For the electrical circuit shown in Figure P8.8, find conditions on C and C, that will make the system uncontrollable. Consider v, to be the input, and , and vz to be the state variables. R R + C2 V2 P8.8 (+1)

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8.8
For the electrical circuit shown in Figure P8.8, find conditions on C and
C, that will make the system uncontrollable. Consider v, to be the
input, and v, and v, to be the state variables.
R
R
R
+,
V1
C2
V2
P8.8
+
bo
Transcribed Image Text:8.8 For the electrical circuit shown in Figure P8.8, find conditions on C and C, that will make the system uncontrollable. Consider v, to be the input, and v, and v, to be the state variables. R R R +, V1 C2 V2 P8.8 + bo
7.17 For the three systems given below, determine the stability (i.e.,
Lyapunov, asymptotic, or BIBO).
1
x(k +1)=
a)
x(
-0.5 0.5
zu(k)
y(k) = [s 5]x(k)
-7 -2
61
1 1
i = 2 -3 -2 x +1 -1 u
b)
-2 -2
1
1 0
-1 -1 2
1
2 -5
c)
A =
-4
c= [1 1]
b =
Transcribed Image Text:7.17 For the three systems given below, determine the stability (i.e., Lyapunov, asymptotic, or BIBO). 1 x(k +1)= a) x( -0.5 0.5 zu(k) y(k) = [s 5]x(k) -7 -2 61 1 1 i = 2 -3 -2 x +1 -1 u b) -2 -2 1 1 0 -1 -1 2 1 2 -5 c) A = -4 c= [1 1] b =
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