Distributed impulsive group consensus in second-order multi-agent systems under directed topology

2014 ◽  
pp. 1-10 ◽  
Author(s):  
Jun Liu ◽  
Jin Zhou
Keyword(s):  
Second Order ◽  
Group Consensus ◽  
Multi Agent Systems ◽  
Directed Topology ◽  
Agent Systems ◽  
Multi Agent

Cluster consensus for second-order mobile multi-agent systems via distributed adaptive pinning control under directed topology

2015 ◽  
Vol 83 (4) ◽  
pp. 1975-1985 ◽  
Author(s):  
Chengjie Xu ◽  
Ying Zheng ◽  
Housheng Su ◽  
Michael Z. Q. Chen ◽  
Changfan Zhang
Keyword(s):  
Pinning Control ◽  
Second Order ◽  
Multi Agent Systems ◽  
Directed Topology ◽  
Agent Systems ◽  
Multi Agent ◽  
Cluster Consensus

Containment control of second-order multi-agent systems with directed topology and time-delays

Kybernetes ◽  
2014 ◽  
Vol 43 (8) ◽  
pp. 1248-1261 ◽  
Author(s):  
Bin Qi ◽  
Xuyang Lou ◽  
Baotong Cui
Keyword(s):  
Time Delay ◽  
Time Delays ◽  
Second Order ◽  
Multi Agent Systems ◽  
Containment Control ◽  
Content Type ◽  
Directed Topology ◽  
Agent Systems ◽  
Communication Time ◽  
Multi Agent

Purpose – The purpose of this paper is to discuss the impacts of the communication time-delays to the distributed containment control of the second-order multi-agent systems with directed topology. Design/methodology/approach – A basic theoretical analysis is first carried out for the containment control of the second-order multi-agent systems under directed topology without communication time-delay and a sufficient condition is proposed for the achievement of containment control. Based on the above result and frequency-domain analysis method, a sufficient condition is also derived for the achievement of containment control of the second-order multi-agent systems under directed topology with communication time-delays. Finally, simulation results are presented to support the effectiveness of the theoretical results. Findings – For the achievement of containment control of the second-order multi-agent systems under directed topology with communication time-delay, the control gain in the control protocols is completely dependent on the communication topology structure and the maximum of time-delay in the control protocols is dependent on the given control gain and communication topology structure. Originality/value – The paper investigates the containment control of the second-order multi-agent systems under directed topology with communication time-delays and presents a sufficient conditions for the achievement of containment control. The results and approach proposed in the paper may benefit interesting researchers.

Couple-group consensus for second-order multi-agent systems with the effect of second-order neighbours’ information

2017 ◽  
Vol 40 (5) ◽  
pp. 1726-1737 ◽  
Author(s):  
Yulan Gao ◽  
Junyan Yu ◽  
Mei Yu ◽  
Yue Xiao ◽  
Jinliang Shao
Keyword(s):  
Time Delays ◽  
Model Transformation ◽  
Second Order ◽  
Linear Matrix ◽  
Group Consensus ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Multi Agent ◽  
The Impact ◽  
Theoretical Results

This paper investigates a couple-group consensus problem of second-order multi-agent systems with the impact of second-order neighbours’ information. For systems with/without time delays, couple-group consensus criteria are established in the form of linear matrix inequalities by utilizing both model transformation and stability theories. The main results indicate that the group consensus for multi-agent systems under the effect of second-order neighbours’ information can be achieved based on the premise of a generalized balanced couple. Finally, illustrative examples are presented to demonstrate the effectiveness of the theoretical results.

Second-order group consensus for linear multi-agent systems with average dwell time switching

2018 ◽  
Vol 41 (2) ◽  
pp. 484-493 ◽  
Author(s):  
Dongmei Xie ◽  
Lin Shi ◽  
Fangcui Jiang
Keyword(s):  
Dwell Time ◽  
Average Dwell Time ◽  
Second Order ◽  
Switching Topology ◽  
Consensus Problem ◽  
Group Consensus ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Switching Signal ◽  
Multi Agent

This paper studies the group consensus problem of second-order multi-agent systems (MASs) with switching communication topology. Unlike most existing papers concerning the consensus issue of MASs under arbitrary switching topology or Markovian switching topology, our paper tries to design a switching signal such that MAS can achieve group consensus under a designed switching signal set. First, using a state transformation method, the group consensus problem of MASs can be equivalently transformed into the asymptotical stability of a corresponding switched system. Then, two sufficient criteria are established by using Lyapunov function method and average dwell time (ADT) approach, where the minimum ADT [Formula: see text] is given clearly. Finally, simulation examples are given to show the effectiveness of our theoretical analysis.

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