Second-Order Consensus for Multiagent Systems With Directed Topologies and Nonlinear Dynamics

City University of Hong Kong · University of Groningen · +2 more institutions

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Abstract

This paper considers a second-order consensus problem for multiagent systems with nonlinear dynamics and directed topologies where each agent is governed by both position and velocity consensus terms with a time-varying asymptotic velocity. To describe the system's ability for reaching consensus, a new concept about the generalized algebraic connectivity is defined for strongly connected networks and then extended to the strongly connected components of the directed network containing a spanning tree. Some sufficient conditions are derived for reaching second-order consensus in multiagent systems with nonlinear dynamics based on algebraic graph theory, matrix theory, and Lyapunov control approach. Finally,…

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1,110
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Authors

4

Topics & keywords

Keywords
  • Algebraic graph theory
  • Multi-agent system
  • Network topology
  • Algebraic connectivity
  • Nonlinear system
  • Consensus
  • Strongly connected component
  • Spanning tree
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