Group consensus of heterogeneous multi-agent systems with fixed topologies

2015 ◽  
Vol 8 (4) ◽  
pp. 294-311 ◽  
Author(s):  
Cong Liu ◽  
Qiang Zhou ◽  
Xiaoguang Hu
Keyword(s):  
Matrix Theory ◽  
Laplacian Matrix ◽  
Second Order ◽  
Group Consensus ◽  
Multi Agent Systems ◽  
Dynamical Group ◽  
Content Type ◽  
Agent Systems ◽  
First Order ◽  
Multi Agent

Purpose – The purpose of this paper is to study the dynamical group consensus of heterogeneous multi-agent systems with fixed topologies. Design/methodology/approach – The tool used in this paper to model the topologies of multi-agent systems is algebraic graph theory. The matrix theory and stability theory are applied to research the group consensus of heterogeneous multi-agent systems with fixed topologies. The Laplace transform and Routh criterion are utilized to analyze the convergence properties of heterogeneous multi-agent systems. Findings – It is discovered that the dynamical group consensus for heterogeneous multi-agent systems with first-order and second-order agents can be achieved under the reasonable hypothesizes. The group consensus condition is only relied on the nonzero eigenvalues of the graph Laplacian matrix. Originality/value – The novelty of this paper is to investigate the dynamical group consensus of heterogeneous multi-agent systems with first-order and second-order agents and fixed topologies and obtain a sufficient group consensus condition.

Formation-containment control of sampled-data second-order multi-agent systems with sampling delay

2018 ◽  
Vol 40 (16) ◽  
pp. 4369-4381 ◽  
Author(s):  
Baojie Zheng ◽  
Xiaowu Mu
Keyword(s):  
Matrix Theory ◽  
Sufficient Conditions ◽  
Second Order ◽  
Control Problems ◽  
Sampled Data ◽  
Multi Agent Systems ◽  
Containment Control ◽  
Agent Systems ◽  
Multi Agent ◽  
Theoretical Results

The formation-containment control problems of sampled-data second-order multi-agent systems with sampling delay are studied. In this paper, we assume that there exist interactions among leaders and that the leader’s neighbours are only leaders. Firstly, two different control protocols with sampling delay are presented for followers and leaders, respectively. Then, by utilizing the algebraic graph theory and matrix theory, several sufficient conditions are obtained to ensure that the leaders achieve a desired formation and that the states of the followers converge to the convex hull formed by the states of the leaders, i.e. the multi-agent systems achieve formation containment. Furthermore, an explicit expression of the formation position function is derived for each leader. An algorithm is provided to design the gain parameters in the protocols. Finally, a numerical example is given to illustrate the effectiveness of the obtained theoretical results.

Dynamical group consensus of heterogenous multi-agent systems with input time delays

2016 ◽  
Vol 175 ◽  
pp. 278-286 ◽  
Author(s):  
Guoguang Wen ◽  
Yongguang Yu ◽  
Zhaoxia Peng ◽  
Hu Wang
Keyword(s):  
Time Delays ◽  
Group Consensus ◽  
Multi Agent Systems ◽  
Dynamical Group ◽  
Agent Systems ◽  
Multi Agent ◽  
Input Time

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.

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