### Citations

1212 | Coordination of groups of mobile autonomous agents using nearest neighbor rules
- Jadbabaie, Lin, et al.
- 2003
(Show Context)
Citation Context ...gent reaches a common value. There is a rich body of literature on consensus protocols in Euclidean space in both continuous time and discrete time, with applications to multiagent autonomous systems =-=[6]-=-, [7] (see [8], [9] for a review). In addition, the problem of coordination and consensus with noisy communication has been addressed using various approaches. The majorization of a stress function is... |

757 | Consensus and cooperation in networked multi-agent systems
- Olfati-Saber, Fax, et al.
- 2007
(Show Context)
Citation Context ... common value. There is a rich body of literature on consensus protocols in Euclidean space in both continuous time and discrete time, with applications to multiagent autonomous systems [6], [7] (see =-=[8]-=-, [9] for a review). In addition, the problem of coordination and consensus with noisy communication has been addressed using various approaches. The majorization of a stress function is used in [3] t... |

452 |
Stability of multiagent systems with time-dependent communication links
- Moreau
- 2005
(Show Context)
Citation Context ...reaches a common value. There is a rich body of literature on consensus protocols in Euclidean space in both continuous time and discrete time, with applications to multiagent autonomous systems [6], =-=[7]-=- (see [8], [9] for a review). In addition, the problem of coordination and consensus with noisy communication has been addressed using various approaches. The majorization of a stress function is used... |

147 | A survey of consensus problems in multi-agent coordination
- Ren, Beard, et al.
(Show Context)
Citation Context ...on value. There is a rich body of literature on consensus protocols in Euclidean space in both continuous time and discrete time, with applications to multiagent autonomous systems [6], [7] (see [8], =-=[9]-=- for a review). In addition, the problem of coordination and consensus with noisy communication has been addressed using various approaches. The majorization of a stress function is used in [3] to dev... |

90 | Stabilization of planar collective motion: All-to-all communication. Automatic Control - Sepulchre, Paley, et al. |

43 |
Time delay in the Kuramoto model of coupled oscillators
- Yeung, Strogatz
- 1999
(Show Context)
Citation Context ...erent natural frequencies. Synchronization of the Kuramoto model have been studied [1], [2], including oscillators with noisy, randomly distributed intrinsic frequencies and time-delayed interactions =-=[14]-=-. This paper addresses the problem of synchronization in the presence of noisy measurement of the relative phases θl − θk, as depicted in Figure 1. Fig. 1. Phase measurement with additive noise ωklt .... |

32 |
Coordination and consensus of networked agents with noisy measurements: stochastic algorithms and asymptotic behavior
- Huang, &Manton
- 2009
(Show Context)
Citation Context ...g agents is established. Robustness of consensus to noise for directed communication characterized by the H2 norm of the system is studied in [15]. A stochastic adaptive algorithm approach is used in =-=[4]-=-, [5], in which a stochastic approximation type algorithm with a decreasing step size is proposed and convergence results are established with measurement noise. There have been other works that consi... |

25 | Robustness of noisy consensus dynamics with directed communication
- Young, Scardovi, et al.
- 2010
(Show Context)
Citation Context ...asurement errors in the relative information of neighboring agents is established. Robustness of consensus to noise for directed communication characterized by the H2 norm of the system is studied in =-=[15]-=-. A stochastic adaptive algorithm approach is used in [4], [5], in which a stochastic approximation type algorithm with a decreasing step size is proposed and convergence results are established with ... |

22 |
Global and robust formation-shape stabilization of relative sensing networks
- Cortés
- 2009
(Show Context)
Citation Context ...e [8], [9] for a review). In addition, the problem of coordination and consensus with noisy communication has been addressed using various approaches. The majorization of a stress function is used in =-=[3]-=- to develop a distributed coordination algorithm that stabilizes the shape of a relative sensing network to a desired formation; robustness of the algorithm against measurement errors in the relative ... |

16 | Stochastic consensus seeking with noisy and directed inter-agent communication: Fixed and randomly varying topologies - Huang, Manton - 2010 |

4 |
Flix Ritort, and Renato Spigler. The Kuramoto model: A simple paradigm for synchronization phenomena
- Acebrn, Bonilla, et al.
- 2005
(Show Context)
Citation Context ...ase variable θk. This model is a simplified version of the Kuramoto model, where in general the oscillators have different natural frequencies. Synchronization of the Kuramoto model have been studied =-=[1]-=-, [2], including oscillators with noisy, randomly distributed intrinsic frequencies and time-delayed interactions [14]. This paper addresses the problem of synchronization in the presence of noisy mea... |

4 |
Synchronization and balancing on the N -torus
- Scardovi, Sarlette, et al.
(Show Context)
Citation Context ... of Technology, Houghton, MI 49931, USA ninam@mtu.edu D. Paley is an assistant professor in the Department of Aerospace Engineering, University of Maryland, College Park, MD 20742, USA dpaley@umd.edu =-=[12]-=- and the sphere [10]. The problem of synchronization and global convergence on the N -torus has been studied using noise-free state iteration by assuming exact data exchange between the agents [11], [... |

3 |
Synchronization in the kuramoto model: A dynamical gradient network approach
- Chen, Shang, et al.
- 2008
(Show Context)
Citation Context ...ariable θk. This model is a simplified version of the Kuramoto model, where in general the oscillators have different natural frequencies. Synchronization of the Kuramoto model have been studied [1], =-=[2]-=-, including oscillators with noisy, randomly distributed intrinsic frequencies and time-delayed interactions [14]. This paper addresses the problem of synchronization in the presence of noisy measurem... |

2 |
Discrete-time synchronization on the N -torus
- Sarlette, Sepulchre, et al.
- 2006
(Show Context)
Citation Context ...ng step size is proposed and convergence results are established with measurement noise. There have been other works that consider noise-free consensus on non-Euclidean manifolds such as the N -torus =-=[11]-=-, This material is based upon work supported by the National Science Foundation under Grant Nos. CMMI0928416 and CMMI0954361 and the Office of Naval Research under Grant No. N00014-09-1-1058. N. Mahmo... |

1 |
Silvere Bonnabel, and Rodolphe Sepulchre. Corrdinated motion design on Lie groups
- Sarlette
(Show Context)
Citation Context ...hton, MI 49931, USA ninam@mtu.edu D. Paley is an assistant professor in the Department of Aerospace Engineering, University of Maryland, College Park, MD 20742, USA dpaley@umd.edu [12] and the sphere =-=[10]-=-. The problem of synchronization and global convergence on the N -torus has been studied using noise-free state iteration by assuming exact data exchange between the agents [11], [12]. Each agent upda... |