Research on Consistency of Delayed Multi-agent System Based on Markov Switching Topology

Author(s):  
Mingzhe Zhu ◽  
Bingyu Sun
Symmetry ◽  
2021 ◽  
Vol 13 (6) ◽  
pp. 941
Author(s):  
Tianhao Sun ◽  
Huiying Liu ◽  
Yongming Yao ◽  
Tianyu Li ◽  
Zhibo Cheng

In this paper, the time-varying formation tracking problem of the general linear multi-agent system is discussed. A distributed formation tracking protocol based on Riccati inequalities with adaptive coupling weights among the follower agents and the leader agent is designed for a leader-following multi-agent system under fixed and switching topologies. The formation configuration involved in this paper is expressed as a bounded piecewise continuously differentiable vector function. The follower agents will achieve the desired formation tracking trajectory of the leader. In traditional static protocols, the coupling weights depend on the communication topology and is a constant. However, in this paper, the coupling weights are updated by the state errors among the neighboring agents. Moreover, the stability analysis of the MAS under switching topology is presented, and proves that the followers also could achieve pre-specified time-varying formation, if the communication graph is jointly connected. Two numerical simulations indicate the capabilities of the algorithms.


2011 ◽  
Vol 128-129 ◽  
pp. 92-95 ◽  
Author(s):  
Bo Liu ◽  
Wei Na Hu ◽  
Jie Zhang

This paper investigates the controllability of discrete-time multi-agent systems with leaders via switching topology. The results show that a multi-agent system can be switching controllable even if each of its subsystem is not controllable, by appropriately selecting some agents as the leaders and suitably designing the neighbor-interaction rules via a switching topology. Meanwhile, the controllability of systems can be only determined by the information from the leaders to the followers. Example and simulations are given to illustrate the theoretical results.


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