Determine for which of the following matrices M the zero state is a stable equilibrium of the dynamical system x(t+1) = Mx(t). [0.2 0 -0.2 A.M= 0 0.2 0 0.1 0 0.1 0 B. M = 2 0 C. M = 0 -0.4 0.4 0.4 0.4 D. M = 0.4 0.4 0.4 0.4 0.4 0.4 -7 E.M= 0 0.9 -5 0.1 F.M= -0.1 -5 0.3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Determine for which of the following matrices M the zero state is a stable equilibrium of the dynamical system
x(t+1)= Mx(t).
[0.2
0 -0.2
A. M=
0
0
0.1
0.1
0 -0.2
B. M =
2
0.3
C. M =
0
0.4
D. M = 0.4
E.M=
F.M=
0.2
0
-0.2]
-0.4]
0.4 0.4
0.4 0.4
0.4 0.4 0.4
-7
0
0 0.9
-5 0.1
-0.1 -5
Transcribed Image Text:Determine for which of the following matrices M the zero state is a stable equilibrium of the dynamical system x(t+1)= Mx(t). [0.2 0 -0.2 A. M= 0 0 0.1 0.1 0 -0.2 B. M = 2 0.3 C. M = 0 0.4 D. M = 0.4 E.M= F.M= 0.2 0 -0.2] -0.4] 0.4 0.4 0.4 0.4 0.4 0.4 0.4 -7 0 0 0.9 -5 0.1 -0.1 -5
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