Fangzhou Liu , Shaoxuan Cui , Ge Chen , Wenjun Mei , Huijun Gao
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引用次数: 0
Abstract
The evolution of interpersonal relationships to structural balance involves various complex social psychological mechanics, including interpersonal influences, opinion dynamics, person–person homophily, person–entity homophily, etc. In this paper, we propose a discrete-time nonlinear dynamical system that characterizes the complex interplay among all the above mechanisms. Specifically, interpersonal appraisals are updated based on person–person homophily and person–opinion homophily; the social influence matrix is built according to the interpersonal appraisals; and the opinion dynamics evolve on the social influence network. Via theoretical analysis, we characterize the finite-time behavior and the equilibrium set of the model. In addition, we establish the equivalence among social balance, modulus consensus, convergence, and the non-vanishing appraisal condition. Moreover, we provide sufficient conditions such that the current faction formation in social balance is changed by introducing additional opinion dimensions, i.e., by setting new agendas. Numerical examples show the effectiveness of such agenda-setting strategy and indicate that sufficiently extreme topics are required in order to successfully conduct such manipulation.
期刊介绍：
Automatica is a leading archival publication in the field of systems and control. The field encompasses today a broad set of areas and topics, and is thriving not only within itself but also in terms of its impact on other fields, such as communications, computers, biology, energy and economics. Since its inception in 1963, Automatica has kept abreast with the evolution of the field over the years, and has emerged as a leading publication driving the trends in the field.
After being founded in 1963, Automatica became a journal of the International Federation of Automatic Control (IFAC) in 1969. It features a characteristic blend of theoretical and applied papers of archival, lasting value, reporting cutting edge research results by authors across the globe. It features articles in distinct categories, including regular, brief and survey papers, technical communiqués, correspondence items, as well as reviews on published books of interest to the readership. It occasionally publishes special issues on emerging new topics or established mature topics of interest to a broad audience.
Automatica solicits original high-quality contributions in all the categories listed above, and in all areas of systems and control interpreted in a broad sense and evolving constantly. They may be submitted directly to a subject editor or to the Editor-in-Chief if not sure about the subject area. Editorial procedures in place assure careful, fair, and prompt handling of all submitted articles. Accepted papers appear in the journal in the shortest time feasible given production time constraints.
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