Opinion dynamics for agents with opinion-dependent connections

We study a simple continuous-time multi-agent system related to Krause's model of opinion dynamics: each agent holds a real value, and this value is continuously attracted by every other value differing from it by less than 1, with an intensity proportional to the difference.

[1]  J. Doob.  Heuristic Approach to the Kolmogorov-Smirnov Theorems , 1949 .

[2]  John N. Tsitsiklis,et al.  Problems in decentralized decision making and computation , 1984 .

[3]  Vicsek,et al.  Novel type of phase transition in a system of self-driven particles. , 1995, Physical review letters.

[4]  Jie Lin,et al.  Coordination of groups of mobile autonomous agents using nearest neighbor rules , 2003, IEEE Trans. Autom. Control..

[5]  P. S. Krishnaprasad,et al.  Equilibria and steering laws for planar formations , 2004, Syst. Control. Lett..

[6]  J.N. Tsitsiklis,et al.  Convergence in Multiagent Coordination, Consensus, and Flocking , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[7]  Jan Lorenz,et al.  A stabilization theorem for dynamics of continuous opinions , 2005, 0708.2981.

[8]  Luc Moreau,et al.  Stability of multiagent systems with time-dependent communication links , 2005, IEEE Transactions on Automatic Control.

[9]  V. Blondel,et al.  Convergence of different linear and non-linear Vicsek models , 2006 .

[10]  Jan Lorenz,et al.  Continuous Opinion Dynamics under Bounded Confidence: A Survey , 2007, 0707.1762.

[11]  John N. Tsitsiklis,et al.  On the 2R conjecture for multi-agent systems , 2007, 2007 European Control Conference (ECC).

[12]  Reza Olfati-Saber,et al.  Consensus and Cooperation in Networked Multi-Agent Systems , 2007, Proceedings of the IEEE.

[13]  Wei Ren,et al.  Information consensus in multivehicle cooperative control , 2007, IEEE Control Systems.

[14]  Felipe Cucker,et al.  Emergent Behavior in Flocks , 2007, IEEE Transactions on Automatic Control.

[15]  S. Smale,et al.  On the mathematics of emergence , 2007 .

[16]  C. Canuto,et al.  A Eulerian approach to the analysis of rendez-vous algorithms , 2008 .

[17]  Julien M. Hendrickx,et al.  Graphs and networks for the analysis of autonomous agent systems , 2008 .

[18]  John N. Tsitsiklis,et al.  On Krause's Multi-Agent Consensus Model With State-Dependent Connectivity , 2008, IEEE Transactions on Automatic Control.

[19]  J. Tsitsiklis,et al.  Existence and uniqueness of solutions for a continuous-time opinion dynamics model with state-dependent connectivity , 2009 .

[20]  John N. Tsitsiklis,et al.  Continuous-Time Average-Preserving Opinion Dynamics with Opinion-Dependent Communications , 2009, SIAM J. Control. Optim..