Steering opinion dynamics via containment control

Computational Social Networks

Table 2 Network of \(f=400\) followers

Strategy	Scenario	\(\bar{\mathbf {\Phi }}\)	\(\bar{\mathbf {\Psi }}\)	\(\mathbf {<d>}_{P}\)
\(\mathcal {\varvec{A}}_{\mathcal {L}\rightarrow \mathcal {F}}=\mathbf {0}_{l\times f}\)	Moderate	0.49	0.01
	Extremist	0.18	0	−^a
	Neutral	0.30	0
St.0	Moderate	0.98	0.42
	Extremist	0.27	0	2
	Neutral	0.68	0.1
St.1	Moderate	0.94	0.42
	Extremist	0.43	0	9
	Neutral	0.67	0.12
St.2	Moderate	0.97	0.42
	Extremist	0.46	0	5
	Neutral	0.70	0.11
St.3	Moderate	0.98	0.49
	Extremist	0.36	0	10.5
	Neutral	0.66	0

For each scenario and containment strategy, we report the average fraction of contained followers (\(\bar{\mathbf {\Phi }}\)), the average fraction of the simulations in which full containment is achieved (\(\bar{\mathbf {\Psi }}\)), and the expected average degree of the pinned followers (\(\mathbf {<d>}_{P}\))
^aHere, the leaders are disconnected from the followers, and therefore there are no pinned nodes