Journal Article10.1016/J.AUTOMATICA.2013.02.004
Sampled-data based average consensus of second-order integral multi-agent systems: Switching topologies and communication noises
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TL;DR: Under the proposed protocol, it is proved that sufficient conditions for ensuring mean square average consensus are: the consensus gain satisfies the stochastic approximation type condition and the communication topology graph at each sampling instant is a balanced graph with a spanning tree.
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About: This article is published in Automatica. The article was published on 01 May 2013. The article focuses on the topics: Spanning tree & Stochastic approximation.
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References
Consensus problems in networks of agents with switching topology and time-delays
TL;DR: A distinctive feature of this work is to address consensus problems for networks with directed information flow by establishing a direct connection between the algebraic connectivity of the network and the performance of a linear consensus protocol.
On Consensus Algorithms for Double-Integrator Dynamics
TL;DR: This note shows that consensus is reached asymptotically for the first two cases if the undirected interaction graph is connected and for the third case if the directed interaction graph has a directed spanning tree and the gain for velocity matching with the group reference velocity is above a certain bound.
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Probability theory: Independence, interchangeability, martingales
Yuan Shih Chow,Henry Teicher +1 more
- 01 Jan 1978
TL;DR: In this paper, the authors define classes of sets, measures, and probability spaces, and show that these classes can be used to define sets and measure spaces, as well as properties of the integral, monotone convergence theorem.
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Brief paper: Finite-time consensus algorithm for multi-agent systems with double-integrator dynamics
Shihua Li,Haibo Du,Xiangze Lin +2 more
TL;DR: This paper discusses the finite-time consensus problem for leaderless and leader-follower multi-agent systems with external disturbances, and proposes continuous distributed control algorithms designed for these agents described by double integrators.
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Decentralized Robust Adaptive Control for the Multiagent System Consensus Problem Using Neural Networks
Zeng-Guang Hou,Long Cheng,Min Tan +2 more
- 01 Jun 2009
TL;DR: By the theoretical analysis, it is proved that the consensus error can be reduced as small as desired and the proposed method is extended to two cases: agents form a prescribed formation, and agents have the higher order dynamics.
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