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## CONSENSUS CONTROL FOR LEADER-FOLLOWING MULTI-AGENT SYSTEMS WITH MEASUREMENT NOISES ∗ (2009)

Citations: | 4 - 0 self |

### Citations

1213 | Coordination of groups of mobile autonomous agents using nearest neighbor rules,”
- Jadbabaie, Lin, et al.
- 2003
(Show Context)
Citation Context ...d implementation of the controls but also helps to save energy and reduce control costs [4−5]. Consensus control for leader-following MASs has attracted much attention. For instance, Jadbabaie et al. =-=[6]-=- considered the nearest neighborhood principle, and under time-varying topologies, proved that if all the agents were jointly connected with their leader, then their states would converge to the state... |

1029 | Consensus problems in networks of agents with switching topology and timedelays - Olfati-Saber, Murray - 2004 |

408 | Flocking for multi-agent dynamic systems: Algorithms and theory
- Olfati-Saber
- 2006
(Show Context)
Citation Context ...em, stochastic noise. 1 Introduction The leader-following MAS is an important kind of MASs. It has been extensively used to represent systems in many practical applications such as biological systems =-=[1]-=-, formation control [2] and large scale robotic systems [3], etc. In leader-following MASs, the leaders are usually independent of their followers, but have influence on the followers’ behaviors. Ther... |

401 | Consensus seeking in multiagent systems under dynamically changing interaction topologies - Ren, Beard - 2005 |

389 |
Distributed asynchronous deterministic and stochastic gradient optimization algorithms
- Tsitsiklis, Bertsekas, et al.
- 1986
(Show Context)
Citation Context ...0] and [11], here the digraph is not assumed to be balanced, and thus, the method of the symmetrized graph in [10] is not suitable to the convergence analysis. Also, unlike the noise-free cases (e.g. =-=[6, 12]-=-) where the convergence properties of the protocol are often analyzed by employing the theory of stochastic matrices, here due to the existence of measurement noises, the state matrix of the closed-lo... |

147 | A survey of consensus problems in multi-agent coordination
- Ren, Beard, et al.
(Show Context)
Citation Context ...ess, Seoul, Korea, July 2008.36 CUIQIN MA · TAO LI · JIFENG ZHANG exactly obtained. However, real communication processes are often disturbed by various random factors. Therefore, just as Ren et al. =-=[9]-=- pointed out, for the consensus problems it is important to investigate how to design consensus protocols applicable to the cases with communication noises. This paper will focus on leader-following c... |

80 | Coordination Variables and Consensus Building in Multiple Vehicle Systems
- Ren, Beard, et al.
(Show Context)
Citation Context ... Borel sets. 2 Preliminaries In this paper, we model information exchange among agents in MASs by digraphs. Thus, before formulating our problem, we first introduce some basic notations from digraphs =-=[4,9,12]-=- . Let G =(V, E) be a digraph with the set of vertices V = {1, 2, ··· ,N} and the set of edges E⊆V×V. In G, theith vertex represents the ith agent, and a directed edge from i to j is denoted as an ord... |

60 |
Qualitative Analysis of Large Scale Dynamical Systems
- Michel, Miller
- 1977
(Show Context)
Citation Context ...sup h→0 + = − − 1 λmax(P ) ∫ t+h t a(s)E [V (s)] ds +tr ( PGGT)∫t+h t a2 (s)ds h 1 λmax(P ) a(t)E [V (t)] + tr ( PGG T) a 2 (t).42 CUIQIN MA · TAO LI · JIFENG ZHANG Thus, by the comparison principle =-=[16]-=- ,wehavethatforanyt ∈ [0,t+ h], { ∫ t } 1 E [V (t)] ≤ E [V (0)] exp − a(s)ds λmax(P ) 0 +tr ( PGG T) ∫ t a 2 { 1 (s)exp − λmax(P ) 0 ∫ t s } a(τ)dτ ds. (12) By Assumption (A3), for any given ε>0, ther... |

54 |
Tracking control for multi-agent consensus with an active leader and variable topology
- Hong, Hu, et al.
- 2006
(Show Context)
Citation Context ...ntly connected with their leader, then their states would converge to the state of the leader as time goes on. Ren and Beard [7] extended the results of [6] to the directed topology case. Hong et al. =-=[8]-=- considered the multi-agent consensus with an active leader and variable interconnection topology. A common feature of the existing works on consensus control for leader-following MASs is that measure... |

44 | Multi-vehicle consensus with a time-varying reference state
- Ren
- 2007
(Show Context)
Citation Context ...llowers is balanced. It is worth pointing out that this paper is only a preliminary step on leader-following consensus under measurement noises. When the state of the leader is not a constant, as Ren =-=[17]-=- pointed out, the extension of consensus algorithms from a constant reference to a time-varying one is non-trivial, it will be challenging to design consensus protocols to guarantee the convergence of... |

32 |
Coordination and consensus of networked agents with noisy measurements: stochastic algorithms and asymptotic behavior
- Huang, &Manton
- 2009
(Show Context)
Citation Context ...unt measurement noises. Thus, before establishing the convergence properties of the consensus protocol (3), we first introduce a definition of consensus protocols for stochastic systems. Definition 1 =-=[14]-=- A distributed protocol U = {ui, i=1, 2, ··· ,N} is called a strong mean square consensus protocol if U = {ui, i =1, 2, ··· ,N} renders the system (1) has the following properties: lim t→∞ E (xi(t) − ... |

23 | Trajectory design for formations of robots by kinetic energy shaping
- Belta, Kumar
(Show Context)
Citation Context ...AS is an important kind of MASs. It has been extensively used to represent systems in many practical applications such as biological systems [1], formation control [2] and large scale robotic systems =-=[3]-=-, etc. In leader-following MASs, the leaders are usually independent of their followers, but have influence on the followers’ behaviors. Therefore, one can realize one’s control objective of the agent... |

23 | Energy saving in formation flight of pink-footed geese - Cutts, Speakman - 1994 |

23 | Consensus conditions of multi-agent systems with time-varying topologies and stochastic communication noises, Automatic Control - Li, Zhang - 2010 |

7 |
Mean square average consensus under measurement noises and fixed topologies: necessary and sufficient conditions
- Li, Zhang
- 2009
(Show Context)
Citation Context ...f a digraph is nonsymmetric. Thus, the closed-loop system cannot be decoupled, and hence, it is hard to analyze the convergence of the consensus protocol. It is worth pointing out that different from =-=[10]-=- and [11], here the digraph is not assumed to be balanced, and thus, the method of the symmetrized graph in [10] is not suitable to the convergence analysis. Also, unlike the noise-free cases (e.g. [6... |

5 |
Virtual leaders, artifical potentials, and coordinated control of groups
- Leonard, Fiorelli
(Show Context)
Citation Context ... Introduction The leader-following MAS is an important kind of MASs. It has been extensively used to represent systems in many practical applications such as biological systems [1], formation control =-=[2]-=- and large scale robotic systems [3], etc. In leader-following MASs, the leaders are usually independent of their followers, but have influence on the followers’ behaviors. Therefore, one can realize ... |