Given a state-space system defined by the following matrices: A = 5 1 -4 , B = c-10-0 C = D = [] Transform the system into transfer matrix form: Select one: s+1 82+48-5 a. 82+48-5 G(s) = b. G(s) = 8+1 82+48-5 $2+48-5 О с. s+1 82+28+5 G(s) = 1 A dynamic system is represented by the state model [x₁(t) -3 0 0 -4 [x1(t) and y(t) [1-1]. x2(t) If the initial state vector is x1(0) x2(0). = then, the zero input response is: Select one: Oa. y(t)=e3t + e −4t O b. y(t)=e3t+ et Oc. y(t)=e3t-e-4t Od. y(t)=et-e4t Given a state-space system defined by the following matrices: A = 0 1 , B = -4 ○ d. G(s) = s2+2s+5 82+28+5 8+1 82+28+5 C=[1_1],D=[0_0] Transform the system into transfer matrix form: Select one: Oa. G(s) = 8+1 Ob. G(s)+48-5 8²+48-5 8+5 8²+48-5 28+10 s+1 82+48-5 s+1 2s+10 8²+48-5 ○ d. G(s) = 8+5 82+48-5 8+1 82+48-5 c. G(s)²+48-5

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Please solve these 3 questions in detail
Given a state-space system defined by the following matrices:
A =
5
1
-4
,
B =
c-10-0
C =
D =
[]
Transform the system into transfer matrix form:
Select one:
s+1
82+48-5
a.
82+48-5
G(s) =
b.
G(s) =
8+1
82+48-5
$2+48-5
О с.
s+1
82+28+5
G(s) =
1
A dynamic system is represented by the state model
[x₁(t)
-3
0
0
-4
[x1(t)
and y(t) [1-1].
x2(t)
If the initial state vector is
x1(0)
x2(0).
=
then, the zero input response is:
Select one:
Oa. y(t)=e3t + e −4t
O b. y(t)=e3t+ et
Oc. y(t)=e3t-e-4t
Od. y(t)=et-e4t
Given a state-space system defined by the following matrices:
A =
0 1
, B =
-4
○ d.
G(s) =
s2+2s+5
82+28+5
8+1
82+28+5
C=[1_1],D=[0_0]
Transform the system into transfer matrix form:
Select one:
Oa. G(s) = 8+1
Ob. G(s)+48-5
8²+48-5
8+5
8²+48-5
28+10
s+1
82+48-5
s+1
2s+10
8²+48-5
○ d. G(s) =
8+5
82+48-5
8+1
82+48-5
c. G(s)²+48-5
Transcribed Image Text:Given a state-space system defined by the following matrices: A = 5 1 -4 , B = c-10-0 C = D = [] Transform the system into transfer matrix form: Select one: s+1 82+48-5 a. 82+48-5 G(s) = b. G(s) = 8+1 82+48-5 $2+48-5 О с. s+1 82+28+5 G(s) = 1 A dynamic system is represented by the state model [x₁(t) -3 0 0 -4 [x1(t) and y(t) [1-1]. x2(t) If the initial state vector is x1(0) x2(0). = then, the zero input response is: Select one: Oa. y(t)=e3t + e −4t O b. y(t)=e3t+ et Oc. y(t)=e3t-e-4t Od. y(t)=et-e4t Given a state-space system defined by the following matrices: A = 0 1 , B = -4 ○ d. G(s) = s2+2s+5 82+28+5 8+1 82+28+5 C=[1_1],D=[0_0] Transform the system into transfer matrix form: Select one: Oa. G(s) = 8+1 Ob. G(s)+48-5 8²+48-5 8+5 8²+48-5 28+10 s+1 82+48-5 s+1 2s+10 8²+48-5 ○ d. G(s) = 8+5 82+48-5 8+1 82+48-5 c. G(s)²+48-5
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