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Game-Theoretic Analysis of the Hegselmann-Krause Model for Opinion Dynamics in Finite Dimensions
Seyed Rasoul Etesami, Tamer Basar
We consider the Hegselmann-Krause model for opinion dynamics and study the evolution of the system under various settings. We first analyze the termination time of the synchronous…
Global Stabilization of Triangulated Formations
Xudong Chen, M. -A. Belabbas, Tamer Başar
Formation control deals with the design of decentralized control laws that stabilize mobile, autonomous agents at prescribed distances from each other. We call any configuration of…
Formation Control with Triangulated Laman Graphs
Xudong Chen, M. -A. Belabbas, Tamer Basar
Formation control deals with the design of decentralized control laws that stabilize agents at prescribed distances from each other. We call any configuration that satisfies the in…
Controllability of Formations over Time-varying Graphs
Xudong Chen, M. -A. Belabbas, Tamer Basar
In this paper, we investigate the controllability of a class of formation control systems. Given a directed graph, we assign an agent to each of its vertices and let the edges of t…
Stochastic Subgradient Algorithms for Strongly Convex Optimization over Distributed Networks
N. Denizcan Vanli, Muhammed O. Sayin, Suleyman S. Kozat
We study diffusion and consensus based optimization of a sum of unknown convex objective functions over distributed networks. The only access to these functions is through stochast…
Stability of Epidemic Models over Directed Graphs: A Positive Systems Approach
Ali Khanafer, Tamer Başar, Bahman Gharesifard
We study the stability properties of a susceptible-infected-susceptible (SIS) diffusion model, so-called the -intertwined Markov model, over arbitrary directed network topologie…