It is expressed as the state equations of a linear time invariant system. dx(t) / d(t) = Ax(t)+Bu(t) Find the state transition matrix Փ(t), the characteristic equation and the eigenvalues ​​of A for the following systems

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It is expressed as the state equations of a linear time invariant system.

dx(t) / d(t) = Ax(t)+Bu(t)

Find the state transition matrix Փ(t), the characteristic equation and the eigenvalues ​​of A for the following systems:

(e) A =
-2
B =
-1
01
(f) A=
0 -2
1
B =1
0 0
-2
1
(g) A = 0 -5
-5
1
B =0
.0 0
-5
Transcribed Image Text:(e) A = -2 B = -1 01 (f) A= 0 -2 1 B =1 0 0 -2 1 (g) A = 0 -5 -5 1 B =0 .0 0 -5
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