Some necessary and sufficient conditions for second-order consensus in multi-agent dynamical systems

By Wenwu Yu, Guanrong Chen, Ming Cao. 2010

1,337 citations recorded by the source corpus.

Subfields: Computer Networks and Communications

How researchers see this paper

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In Computer Networks and Communications

1. Guanrong Chen
2. Wenwu Yu
3. Qing-Long Han
4. Wei Ren
5. Jinde Cao
6. Jürgen Kurths
7. W. Zheng
8. Jinhu Lu

Citations in the corpus

• Consensus of high-order multi-agent systems with large input and communication delays (2014, background): “In the existing literature (see, for example, Lin et al., 2007, Olfati-Saber &Murray, 2004, Qin et al., 2011, Tian & Liu, 2009 and Yu et al., 2010b), the problemof finding themaximal allowable delay with a prescribed protocol has been investigated.”
• Event-Triggered Schemes on Leader-Following Consensus of General Linear Multiagent Systems Under Different Topologies (2017, background): “Numerous research works have contributed to consensus problems [10]–[17].”
• Synchronization via Pinning Control on General Complex Networks (2013, background): “[1, 8, 18, 19, 36, 37, 48, 49, 56, 58, 60, 61] and consensus [6, 51, 52, 53, 55, 59, 64] in very large-scale complex networks.”
• Second-order consensus in multi-agent dynamical systems with sampled position data (2011, background): “In Yu, Chen, and Cao (2010), some necessary and sufficient conditions for second-order consensus in linear multi-agent dynamical systems with directed topologies and time delays were established.”
• Distributed Consensus of Second-Order Multi-Agent Systems With Heterogeneous Unknown Inertias and Control Gains Under a Directed Graph (2016, background): “For multi-agent systems described by second-order integrators, necessary and sufficient conditions for consensus are presented in [12], [13], which show that other than the directed spanning tree condition, the real and imaginary parts of the eigenvalues of the (nonsymmetric) Laplaician matrix both ”
• Distributed Higher Order Consensus Protocols in Multiagent Dynamical Systems (2011, background): “Note that when , the consensus algorithm (1), (2) reduces to the well-known first-order consensus protocol [13], [17], [18], [23], [27], [29], [31]–[33], [35], [37], [38]”
• Global consensus for discrete-time multi-agent systems with input saturation constraints (2014, neutral): “…Wang, 2008; Scardovi and Sepulchre, 2009; Seo, Shim, and Back, 2009; Shi and Hong, 2009; Li, Duan, Chen, and Huang, 2010; Li, Du, and Lin, 2011a; Yu, Chen, and Cao, 2010; Yang, Roy, Wan, and Saberi, 2011; Seyboth, Dimarogonas, and Johansson, 2013), while the consensus problem for heterogenous…”
• Second-order consensus for multi-agent systems with switching topology and communication delay (2011, neutral): “[14] [15] [16] [17] [18] [19] [20] [21] [22] [23].”
• Consensus in Directed Networks of Agents With Nonlinear Dynamics (2011, methodology): “Second-order and higher-order consensus in linear multi-agent systems was studied in [ 13 ], [33].”