
handle: 11697/263639
Abstract We study Hegselmann–Krause type opinion formation models with non-universal interaction and time-delayed coupling. We assume the presence of a common influencer between two different agents. Moreover, we explore two cases in which such an assumption does not hold but leaders with independent opinion dynamics are present. By using careful estimates on the system’s trajectories, we are able to prove asymptotic convergence to consensus estimates. Some numerical tests illustrate the theoretical results.
34D05, 34K20, 91D10, Stability theory of functional-differential equations, time delays, Optimization and Control (math.OC), Convergence to consensus; Leadership control; Opinion dynamics; Time delays, Models of societies, social and urban evolution, convergence to consensus, FOS: Mathematics, opinion dynamics, leadership control, Asymptotic properties of solutions to ordinary differential equations, Mathematics - Optimization and Control
34D05, 34K20, 91D10, Stability theory of functional-differential equations, time delays, Optimization and Control (math.OC), Convergence to consensus; Leadership control; Opinion dynamics; Time delays, Models of societies, social and urban evolution, convergence to consensus, FOS: Mathematics, opinion dynamics, leadership control, Asymptotic properties of solutions to ordinary differential equations, Mathematics - Optimization and Control
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