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Fluctuation Mechanism and Control on System Instantaneous Availability
book

Fluctuation Mechanism and Control on System Instantaneous Availability

by Yi Yang, Yong-Li Yu, Li-Chao Wang
January 2016
Intermediate to advanced content levelIntermediate to advanced
299 pages
6h 54m
English
CRC Press
Content preview from Fluctuation Mechanism and Control on System Instantaneous Availability
86 System Instantaneous Availability
eorem 5.5: Matrix B has the characteristic root γ = 1, which is a simple root.
If X
0
= (x
1
, x
2
, …, x
2n+2
)
T
stands for the feature vector of γ = 1 on C, the value of
X
0
is unique and satisfies
==
+
xx
D
n
1
12
1
()
=−λ
=+
=
1
1,2,3,
,1
0
2
1
x
D
ji n
i
j
i
()
=−µ
=+
++
=
1
1,2,3,
,1
1
0
2
2
1
x
D
ji n
ni
j
i
.
In the formula,
() ()
=+ −λ
+−
µ
=
=
+
=
=
+
Djj
j
i
i
n
j
i
i
n
21 1
0
2
2
1
0
2
2
1
12
.
Prove: According to eorem 5.4, γ = 1 is the simple characteristic root of
matrix B, which is equivalent to
−γ
γ
γ=
dB I
d
0
1
. (5.6)
en, Formula 5.6 is proven:
−γ
γ
γ=
dB I
d
1



 





 


() () ()
()
()
() ()
()
()
()
=
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Publisher Resources

ISBN: 9781498734684