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## Consensus of multi-agent systems with nonuniform non-differentiable time-varying delays

### Citations

1107 | Consensus problems in networks of agents with switching topology and time-delays,” Automatic Control
- Olfati-Saber, Murray
- 2004
(Show Context)
Citation Context ...hbor robots and the state information of the agent itself are subject to delay. In the case of constant uniform time-delay, a necessary and sufficient condition for average consensus was presented in =-=[4]-=-. Considering the same time-delay configuration, [5] obtained a sufficient condition in the presence of external disturbance and model uncertainty. Systems subject to uniform differentiable time-varyi... |

889 | Algebraic Graph Theory.
- Godsil, Royle
- 2001
(Show Context)
Citation Context ...e to every other node. A path is a sequence of graph edges of the form (vi1, vi2), (vi2, vi3), . . . , where vik ∈ V . Next lemma regarding connected graphs will be useful in later sections: Lemma 1: =-=[12]-=- If a graph G is connected then its Laplacian satisfies the following conditions: 1) There exists a unique eigenvalue of L equal to zero, and 1n is the corresponding eigenvector, i.e., L1n = 0. 2) The... |

247 | Stability of Time-Delay Systems - Gu, Kharitonov, et al. - 2003 |

68 | On consensus algorithms for double-integrator dynamics.
- Ren
- 2008
(Show Context)
Citation Context ...tion provided by only a subset of the group. Several works have studied these local information based control laws to solve consensus problem in different scenarios such as double integrator dynamics =-=[2]-=-, input saturation [3], etc. In the present paper we are interested in the case where information exchange between agents cannot happen instantaneously due to the characteristics of the available comm... |

33 | An overview of recent progress in the study of distributed multi-agent coordination,”
- Cao, Yu, et al.
- 2013
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Citation Context ...eral research groups in the past few years. This is mainly due to the vast number of applications that may benefit from the results in this field. For an interesting review of recent results refer to =-=[1]-=-. An important problem in distributed multi-agent systems is the one of reaching a group agreement. More specifically, let xi be the value of a physical variable associated to agent vi, where i = 1, 2... |

25 |
Distributed robust H∞ consensus control in directed networks of agents with time-delay.
- Lin, Jia, et al.
- 2008
(Show Context)
Citation Context ...tself are subject to delay. In the case of constant uniform time-delay, a necessary and sufficient condition for average consensus was presented in [4]. Considering the same time-delay configuration, =-=[5]-=- obtained a sufficient condition in the presence of external disturbance and model uncertainty. Systems subject to uniform differentiable time-varying delays were studied in [6]. Other works, such as ... |

21 | Average consensus in networks of dynamic agentswith switching topologies andmultiple time-varying delays,”
- Sun, Wang, et al.
- 2008
(Show Context)
Citation Context ...ed in [6]. Other works, such as [7] and [8], studied nonuniform differentiable time-varying delays. By nonuniform, we mean there may be a different time-delay value for each communication channel. In =-=[9]-=- and [10] the authors also considered the possibility of nonuniform non-differentiable time-varying delays that satisfy 0 ≤ τij(t) ≤ hij , where hij > 0 are constants. In this work, differently from p... |

12 |
Consensus of multi-agent systems in directed networkswith nonuniform time-varying delays
- Sun, Wang
- 2009
(Show Context)
Citation Context ...]. Other works, such as [7] and [8], studied nonuniform differentiable time-varying delays. By nonuniform, we mean there may be a different time-delay value for each communication channel. In [9] and =-=[10]-=- the authors also considered the possibility of nonuniform non-differentiable time-varying delays that satisfy 0 ≤ τij(t) ≤ hij , where hij > 0 are constants. In this work, differently from previous w... |

3 |
Robust H∞ consensus control of uncertain multiagent systems with time delays
- Liu, Jia
- 2011
(Show Context)
Citation Context ...e-delay configuration, [5] obtained a sufficient condition in the presence of external disturbance and model uncertainty. Systems subject to uniform differentiable time-varying delays were studied in =-=[6]-=-. Other works, such as [7] and [8], studied nonuniform differentiable time-varying delays. By nonuniform, we mean there may be a different time-delay value for each communication channel. In [9] and [... |

2 |
Consensus problems for linear timeinvariant multi-agent systems with saturation constraints
- Li, Xiang, et al.
- 2011
(Show Context)
Citation Context ...a subset of the group. Several works have studied these local information based control laws to solve consensus problem in different scenarios such as double integrator dynamics [2], input saturation =-=[3]-=-, etc. In the present paper we are interested in the case where information exchange between agents cannot happen instantaneously due to the characteristics of the available communication channels. Th... |

2 |
Average consensus seeking of high-order continuous-time multi-agent systems with multiple time-varying communication delays,”
- Zhang, Niu, et al.
- 2011
(Show Context)
Citation Context ...d a sufficient condition in the presence of external disturbance and model uncertainty. Systems subject to uniform differentiable time-varying delays were studied in [6]. Other works, such as [7] and =-=[8]-=-, studied nonuniform differentiable time-varying delays. By nonuniform, we mean there may be a different time-delay value for each communication channel. In [9] and [10] the authors also considered th... |

1 |
Consensus in multiagent with time-varying delays
- Kecai, Chunxiang, et al.
- 2011
(Show Context)
Citation Context ... obtained a sufficient condition in the presence of external disturbance and model uncertainty. Systems subject to uniform differentiable time-varying delays were studied in [6]. Other works, such as =-=[7]-=- and [8], studied nonuniform differentiable time-varying delays. By nonuniform, we mean there may be a different time-delay value for each communication channel. In [9] and [10] the authors also consi... |

1 |
Palhares, “Assessing stability of time-delay systems using rational systems
- Oliveira, Souza, et al.
- 2008
(Show Context)
Citation Context ...can be applied in cases where the time-delay has an estimated value, varying in a given range. This is important since it will allow to show consensus in different regions in the domain of time-delay =-=[11]-=-. Other methods would find only the region in the domain of time-delay where the minimum value of τij(t) is zero. In addition to that, a method to compute an estimate of the convergence rate is also p... |