arXiv:1402.5644eess.SY
Containment Control for a Social Network with State-Dependent Connectivity
Abstract
Social interactions influence our thoughts, opinions and actions. In this paper, social interactions are studied within a group of individuals composed of influential social leaders and followers. Each person is assumed to maintain a social state, which can be an emotional state or an opinion. Followers update their social states based on the states of local neighbors, while social leaders maintain a constant desired state. Social interactions are modeled as a general directed graph where each directed edge represents an influence from one person to another. Motivated by the non-local property of fractional-order systems, the social response of individuals in the network are modeled by fractional-order dynamics whose states depend on influences from local neighbors and past experiences. A decentralized influence method is then developed to maintain existing social influence between individuals (i.e., without isolating peers in the group) and to influence the social group to a common desired state (i.e., within a convex hull spanned by social leaders). Mittag-Leffler stability methods are used to prove asymptotic stability of the networked fractional-order system.
> host of a lot of military cyber operations Relevant: “Containment Control for a Social Network with State-Dependent Connectivity” (2014), Air Force Research Laboratory, Eglin AFB: https://arxiv.org/pdf/1402.5644.pdf
LammyView on HNParent context