On the control through leadership of the Hegselmann–Krause opinion formation model
On the control through leadership of the Hegselmann–Krause opinion formation model
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DOI：
10.1142/s0218202515400060
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发表时间：
2015-03
影响因子：
3.5
通讯作者：
S. Wongkaew;M. Caponigro;A. Borzì
中科院分区：
文献类型：
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作者：
S. Wongkaew;M. Caponigro;A. Borzì
本文研究了具有领导力的Hegselmann-Krause意见形成模型的控制策略。在该系统中，控制机制被包含在先导动态中，反馈控制函数通过稳定化过程和模型预测最优控制过程来确定。相应地，研究了系统的全局镇定、可控性和跟踪问题。模型预测控制方案需要求解一系列开环最优系统，该序列由适当的Runge-Kutta格式离散化，并用非线性共轭梯度法求解。数值实验结果证明了所提出的控制策略的有效性和驱动系统达成共识的能力。
This paper deals with control strategies for the Hegselmann–Krause opinion formation model with leadership. In this system, the control mechanism is included in the leader dynamics and the feedback control functions are determined via a stabilization procedure and with a model predictive optimal control process. Correspondingly, the issues of global stabilization, controllability, and tracking are investigated. The model predictive control scheme requires to solve a sequence of open-loop optimality systems discretized by an appropriate Runge–Kutta scheme and solved by a nonlinear conjugate gradient method. Results of numerical experiments demonstrate the validity of the proposed control strategies and their ability to drive the system to attain consensus.