Consensus in Directed Networks of Agents With Nonlinear Dynamics

By Wenwu Yu, Guanrong Chen, Ming Cao. 2011

400 citations recorded by the source corpus.

This technical note studies the consensus problem for cooperative agents with nonlinear dynamics in a directed network. Both local and global consensus are defined and investigated. Techniques for studying the synchronization in such complex networks are exploited to establish various sufficient conditions for reaching consensus. The local consensus problem is first studied via a combination of the tools of complex analysis, local consensus manifold approach, and Lyapunov methods. A generalized algebraic connectivity is then proposed to study the global consensus problem in strongly connected networks and also in a broad class of networks containing spanning trees, for which ideas from algebraic graph theory, matrix theory, and Lyapunov methods are utilized.

Subfields: Computer Networks and Communications

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In Computer Networks and Communications

1. Guanrong Chen
2. Wenwu Yu
3. Jürgen Kurths
4. Wei Ren
5. Jinhu Lu
6. Z. Duan
7. W. Zheng
8. Guanghui Wen

Citations in the corpus

• Distributed Synchronization in Networks of Agent Systems With Nonlinearities and Random Switchings (2013, background): “The network (1) is a basic model to study synchronization of networks of agent systems for rather general cases particularly when the synchronized state is a time-varying function and switching rather than a constant equilibrium [50].”
• Consensus of multi‐agent systems with nonlinear dynamics and sampled‐data information: a delayed‐input approach (2013, background): “Pertinent works along this line include [27–29], where consensus problem of continuous-time coupled systems are investigated.”
• 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.”
• Distributed control gains design for consensus in multi-agent systems with second-order nonlinear dynamics (2013, background): “…(2003), Olfati-Saber andMurray (2004), Ren (2008), Ren and Beard (2005), Vicsek, Cziok, Jacob, Cohen, and Shochet (1995), Yu, Chen, and Cao (2010), Yu, Chen, and Cao (2011), Yu, Chen, Cao, and Kurths (2010), Yu, Zheng, Chen, Ren, and Cao (2011) and Zhang and Tian (2009), due to its broad…”