January 2016
Intermediate to advanced
300 pages
6h 54m
English
book
Fluctuation Mechanism and Control on System Instantaneous Availability
by Yi Yang, Yong-Li Yu, Li-Chao Wang
Content preview from Fluctuation Mechanism and Control on System Instantaneous Availability
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116 ◾ System Instantaneous Availability
In other words, it is a status solution of systems (5.15 and 5.16).
eorem 5.19: Characteristic roots of matrix B are in a unit circle; that is,
ρ(B)≤ 1.
Prove: Matrix
−γ =
−γ µµ
−λ −γ
−λ
−λ −−γ
λλ λ− λ−γ
−µ −γ
−µ
−λ
µ− µµ µ−
−µ −−γ
−γ
−µ −γ
−µ
−µ −−γ
BI
n
nn
n
nn
n
n
000(0) (0)
1(0) 00
00
01(1)0000
00 1( 1)
00
(0)(1) (1)(
)0
00 001(0)
00 0001(1)
00 00
00
00 01()
00
00 00
00
00 00
00
00 00
00
(1)1 (0)(1) (1)1
0000
00
0000
00
0000
00
0000
00
0000
00
0000
00
1(1) 00
00
00
00
0
001(0)
00
0001(1)00
0000 1(1)
.
11
1
11
1
1
1
12 22 23
12
2
2
23
System with Finite Time Restrained ◾ 117
Obviously, when ∀γ ∈ {x∣ |x|>1}, γI − B is strictly a diagonally domina ...
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