Consensus Switching of Second-Order Multiagent Systems With Time Delay

2020 ◽  
pp. 1-5
Author(s):  
Qian Ma ◽  
Shengyuan Xu
Keyword(s):  
Time Delay ◽  
Multiagent Systems ◽  
Second Order

scholarly journals Consensus Analysis of Second-Order Multiagent Systems with General Topology and Time Delay

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Bo Liu ◽  
Guangming Xie ◽  
Yanping Gao ◽  
Jiaxi Wu ◽  
Jianguo Zhang ◽  
...  
Keyword(s):  
Time Delay ◽  
Multiagent Systems ◽  
Nearest Neighbor ◽  
Laplacian Matrix ◽  
Second Order ◽  
General Topology ◽  
Consensus Analysis ◽  
Laplace Transform Technique ◽  
Eigenvalues Of The Laplacian ◽  
Nearest Neighbor Rule

This paper addresses the consensus of second-order multiagent systems with general topology and time delay based on the nearest neighbor rule. By using the Laplace transform technique, it is proved that the second-order multi-agent system in the presence of time-delay can reach consensus if the network topology contains a globally reachable node and time delay is bounded. The bound of time-delay only depends on eigenvalues of the Laplacian matrix of the system. The main contribution of this paper is that the accurate state of the consensus center and the upper bound of the communication delay to make the agents reach consensus are given. Some numerical simulations are given to illustrate the theoretical results.

scholarly journals Consensus of Discrete Time Second-Order Multiagent Systems with Time Delay

2012 ◽  
Vol 2012 ◽  
pp. 1-9 ◽  
Author(s):  
Wei Zhu
Keyword(s):  
Time Delay ◽  
Convergence Rate ◽  
Theoretical Result ◽  
Multiagent Systems ◽  
Discrete Time ◽  
Second Order ◽  
Sufficient Condition ◽  
Consensus Problem ◽  
Necessary And Sufficient Condition ◽  
Necessary And Sufficient

The consensus problem for discrete time second-order multiagent systems with time delay is studied. Some effective methods are presented to deal with consensus problems in discrete time multiagent systems. A necessary and sufficient condition is established to ensure consensus. The convergence rate for reaching consensus is also estimated. It is shown that arbitrary bounded time delay can safely be tolerated. An example is presented to illustrate the theoretical result.

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