Distributed H ∞ containment control of multiagent systems over switching topologies with communication time delay

2020 ◽  
Vol 30 (13) ◽  
pp. 5221-5232
Author(s):  
Dong Wang ◽  
Yun Huang ◽  
Shixin Guo ◽  
Wei Wang
Keyword(s):  
Time Delay ◽  
Multiagent Systems ◽  
Containment Control ◽  
Switching Topologies ◽  
Communication Time

scholarly journals Impulsive Containment Control in Nonlinear Multiagent Systems with Time-Delay

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Wenshan Hu ◽  
Zhenhua Wang ◽  
Zhi-Wei Liu ◽  
Hong Zhou
Keyword(s):  
Time Delay ◽  
Convex Hull ◽  
Multiagent Systems ◽  
Lyapunov Methods ◽  
Control Problems ◽  
Containment Control ◽  
Switching Topologies ◽  
Directed Paths

The containment control problems of nonlinear multiagent systems with time-delay via impulsive algorithms under both fixed and switching topologies are studied. By using the Lyapunov methods, several conditions are derived to achieve the containment control. It is shown that the states of the followers can converge into the convex hull spanned by the states of the leaders if every leader has directed paths to all the followers and the impulsive period is short enough. Finally, some simulations are conducted to verify the effectiveness of the proposed algorithms.

scholarly journals Consensus of Multiagent Systems with Directed Topology and Communication Time Delay Bases on the Laplace Transform

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Bo Liu ◽  
Li Wang ◽  
Dehui Sun ◽  
Xinmao Zhu
Keyword(s):  
Time Delay ◽  
Laplace Transform ◽  
Multiagent Systems ◽  
Consensus Problem ◽  
Directed Topology ◽  
Communication Time ◽  
The Laplace Transform ◽  
Initial States ◽  
Directed Topologies ◽  
Theoretical Results

This paper investigates the consensus problem of multiagent systems with directed topologies. Different from the literatures, a new method, the Laplace transform, to study the consensus of multiagent systems with directed topology and communication time delay is proposed. The accurate state of the consensus center and the upper bound of the communication delay to make the agents reach consensus are given. It is proved that all the agents could aggregate and eventually form a cohesive cluster in finite time under certain conditions, and the consensus center is only determined by the initial states and the communication configuration among the agents. Finally, simulations are given to illustrate the theoretical results.

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.

scholarly journals Distributed adaptive output feedback containment control for time-delay nonlinear multiagent systems

Automatica ◽  
2021 ◽  
Vol 127 ◽  
pp. 109545
Author(s):  
Yafeng Li ◽  
Ju H. Park ◽  
Changchun Hua ◽  
Guopin Liu
Keyword(s):  
Time Delay ◽  
Multiagent Systems ◽  
Output Feedback ◽  
Containment Control

scholarly journals Weighted Couple-Group Consensus Analysis of Heterogeneous Multiagent Systems with Cooperative-Competitive Interactions and Time Delays

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-13 ◽  
Author(s):  
Xingcheng Pu ◽  
Chaowen Xiong ◽  
Lianghao Ji ◽  
Longlong Zhao
Keyword(s):  
Time Delay ◽  
Multiagent Systems ◽  
Time Delays ◽  
Multiagent System ◽  
Experimental Simulation ◽  
Group Consensus ◽  
Consensus Protocol ◽  
Consensus Analysis ◽  
Communication Time ◽  
Nyquist Criterion

In this paper, the weighted couple-group consensus of continuous-time heterogeneous multiagent systems with input and communication time delay is investigated. A novel weighted couple-group consensus protocol based on cooperation and competition interaction is designed, which can relax the in-degree balance condition. By using graph theory, general Nyquist criterion and Gerschgorin disc theorem, the time delay upper limit that the system may allow is obtained. The conclusions indicate that there is no relationship between weighted couple-group consensus and communication time delay. When the agents input time delay, the coupling weight between the agents, and the systems control parameters are satisfied, the multiagent system can converge to any given weighted coupling group consistent state. The experimental simulation results verify the correctness of the conclusion.

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