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
2017 ◽  
Vol 40 (5) ◽  
pp. 1726-1737 ◽  
Author(s):  
Yulan Gao ◽  
Junyan Yu ◽  
Mei Yu ◽  
Yue Xiao ◽  
Jinliang Shao

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.


Author(s):  
Cong Liu ◽  
Qiang Zhou ◽  
Xiaoguang Hu

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.


Sign in / Sign up

Export Citation Format

Share Document