Convergence and stochastic stability of continuous time consensus protocols

Keywords

Algebraic connectivity, Robustness (evolution), Algebraic graph theory, Network topology, Random graph

References

• Synchronization in science and technologyIlʹi︠a︡ Izrailevich Blekhman — 1988
• Chaotic Synchronization: Applications to Living SystemsErik Mosekilde, Yuri Maistrenko, Dmitry E. Postnov — 2002
• Spectral Graph TheoryFan Chung — 1996
• Stochastic Stability of Differential EquationsR. Z. Khas’minskiĭ — 1980
• Algebraic connectivity of graphsMiroslav Fiedler — 1973
• Distributed robust Hinfinity consensus control in directed networks of agents with time-delayPeng Lin, Yingmin Jia, Lin Li — 2008
• Synchronization: A Universal Concept in Nonlinear SciencesArkady Pikovsky, Michael G. Rosenblum, Jürgen Kurths — 2001
• Eigenvalues and expandersNoga Alon — 1986
• A proof of Alon's second eigenvalue conjecture and related problemsJoel Friedman — 2004
• Information consensus in multivehicle cooperative controlWei Ren, Randal W. Beard, Ella Atkins — 2007
• Minimizing Effective Resistance of a GraphArpita Ghosh, Stephen Boyd, Amin Saberi — 2008
• Synchronization of Coupled Limit CyclesGeorgi S. Medvedev — 2010
• Resistance distance and Laplacian spectrumWenjun Xiao, İvan Gutman — 2003
• Modern Graph TheoryBéla Bollobás — 2002
• Synchronization of coupled stochastic limit cycle oscillatorsGeorgi S. Medvedev — 2009
• Coordination and Geometric Optimization via Distributed Dynamical SystemsJorge Cortés, Francesco Bullo — 2003
• Expander Graphs and their ApplicationsShlomo Hoory, Nathan Linial, Avi Wigderson — 2006
• Consensus decision making by fish.David J. T. Sumpter, Jens Krause, Richard W. James — 2008
• Eigenvalues and edge-connectivity of regular graphsSebastian M. Cioabă — 2010
• Consensus problems in networks of agents with switching topology and time-delaysReza Olfati‐Saber, Richard M. Murray — 2004

Cited by

• Synchronization of Coupled Limit CyclesGeorgi S. Medvedev — 2010
• The Geometry of Spontaneous Spiking in Neuronal NetworksGeorgi S. Medvedev, Svitlana Zhuravytska — 2011
• The geometry of spontaneous spiking in neuronal networksGeorgi S. Medvedev, Svitlana Zhuravytska — 2016

Related papers

• Stochastic Stability of Continuous Time Consensus ProtocolsGeorgi S. Medvedev — 2010
• A Notion of Robustness in Complex NetworksHaotian Zhang, Elaheh Fata, Shreyas Sundaram — 2015
• Consensus of Dynamical Agents in Time-Varying Networks ?Li Cao, Yufan Zheng, Qing Zhou — 2008
• Consensus in Continuous-Time Multiagent Systems Under Discontinuous Nonlinear ProtocolsBo Liu, Lu Wenlian, Tianping, Chen — 2013
• Graph-Theoretic Bounds on Disturbance Propagation in Interconnected Linear Dynamical NetworksMilad Siami, Nader Motee — 2014
• Optimal design for manipulation of random consensus over discrete information in networked systemsSidney Roberto Carvalho, Ubirajara F. Moreno — 2021
• Robustness of networksH. Wang — 2009
• Finite-field consensusFabio Pasqualetti, Domenica Borra, Francesco Bullo — 2013
• Multiplicative measurement noise can facilitate consensus of multiagent networks.Haifeng Dai, Yongzheng Sun, Wang Li — 2019
• Robustness in Consensus NetworksTuhin Sarkar, Mardavij Roozbehani, Munther A. Dahleh — 2018