October 2015
Intermediate to advanced
588 pages
24h 51m
English
Content preview from Cyber-Physical Systems
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Hybrid Stochastic Synchronization and Flow Models 135
8
Synchronization of a six-agent
averager–voter network
6
4
2
0
Agent opinion
–2
–4
–6
0246810
Time step
(a)
(b)
12 14 16 18 20
8
Synchronization of a six-agent
averager–voter network
6
4
2
0
Agent opinion
–2
–4
–6
0246810
Time step
12 14 16 18 20
FIGURE 5.1 Two simulations of an example averager–voter network are shown, for a common initial
condition. Synchronization is achieved, but the synchronization value is different in the two cases.
permits characterization of E((s
j
[k]−s
1
[k])
2
). In particular, the state matrices of the first- and second-
moment recursions can be shown to have a unique dominant eigenvalue at 1
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