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Influencing emotional behavior in a social network

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3 Author(s)
Kan, Z. ; Dept. of Mech. & Aerosp. Eng., Univ. of Florida, Gainesville, FL, USA ; Shea, J.M. ; Dixon, W.E.

Mankind has always sought out social interaction, and our social interactions influence our thoughts and actions. As technological advances in social media provide a means for more rapid, convenient, and widespread communication, our resulting social interactions can lead to a more dynamic influence. Underlying these interactions are emotional responses to different stimuli and a desire not to become isolated from peers. In this paper, such social interactions are modeled as an undirected graph where each vertex represents an individual and each edge represents a social bond between individuals. Motivated by the non-local property of fractional-order systems, the emotional response of individuals in the network is modeled by fractional-order dynamics whose states depend on influences from social bonds. A decentralized control method is then developed to manipulate the social group to a common emotional state while maintaining existing social bonds (i.e., without isolating peers in the group). Mittag-Leffler stability methods are used to prove asymptotic convergence to a common equilibrium point (i.e., emotional state) of the networked fractional-order system.

Published in:

American Control Conference (ACC), 2012

Date of Conference:

27-29 June 2012