期刊
AUTOMATICA
卷 56, 期 -, 页码 86-92出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2015.03.026
关键词
Social network; Fractional-order dynamics; Containment control; Network connectivity
资金
- NSF [1161260, 1217908]
- AFRL Mathematical Modeling and Optimization Institute
- Direct For Computer & Info Scie & Enginr
- Division Of Computer and Network Systems [1217908] Funding Source: National Science Foundation
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 the asymptotic convergence of the networked fractional-order system. (C) 2015 Elsevier Ltd. All rights reserved.
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