Mean Square Bipartite Consensus for Multi-agent Systems with Measurement Noises and Communication Time-delays

2021 ◽  
Vol 19 (12) ◽  
pp. 3880-3889
Author(s):  
Jing Wang ◽  
Yong Peng ◽  
Liya Dou
Keyword(s):  
Time Delays ◽  
Mean Square ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Communication Time ◽  
Multi Agent ◽  
Measurement Noises ◽  
Bipartite Consensus

scholarly journals Event-Triggered Bipartite Consensus of Single-Integrator Multi-Agent Systems with Measurement Noise

2018 ◽  
Vol 2018 ◽  
pp. 1-9
Author(s):  
Cui-Qin Ma ◽  
Yun-Bo Zhao ◽  
Wei-Guo Sun
Keyword(s):  
Sufficient Conditions ◽  
Measurement Noise ◽  
Mean Square ◽  
Multi Agent Systems ◽  
Negative Effects ◽  
Consensus Protocol ◽  
Agent Systems ◽  
Multi Agent ◽  
Bipartite Consensus ◽  
Event Triggered

Event-triggered bipartite consensus of single-integrator multi-agent systems is investigated in the presence of measurement noise. A time-varying gain function is proposed in the event-triggered bipartite consensus protocol to reduce the negative effects of the noise corrupted information processed by the agents. Using the state transition matrix, Ito^ formula, and the algebraic graph theory, necessary and sufficient conditions are given for the proposed protocol to yield mean square bipartite consensus. We find that the weakest communication requirement to ensure the mean square bipartite consensus under event-triggered protocol is that the signed digraph is structurally balanced and contains a spanning tree. Numerical examples validated the theoretical findings where the system shows no Zeno behavior.

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.

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