Multi-Agent Consensus Control under Markovian Switching Topology and Time-Delay

2013 ◽  
Vol 427-429 ◽  
pp. 750-754
Author(s):  
Won Il Kim ◽  
Rong Xiong ◽  
Jun Wu
Keyword(s):  
Time Delay ◽  
Controller Design ◽  
Switching Topology ◽  
Linear Matrix ◽  
Time Varying ◽  
Mean Square ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Multi Agent ◽  
Mean Square Consensus

In this note, the consensus problem of linear multi-agent systems with Markovian communication topology and time-varying delay is investigated. The topology of network is switched by Markovian process and the time-delay is considered to be time-varying and has a lower and upper bounds. A sufficient condition of mean square consensus is obtained in terms of linear matrix inequalities, and based on the condition, a controller design method is presented such that the multi-agent systems reaches to mean square consensus.

Multi-Agent Consensus with a Time-Varying Reference State and Time-Varying Delays

2011 ◽  
Vol 48-49 ◽  
pp. 724-729
Author(s):  
Hui Yu ◽  
Yi Zhang ◽  
Gao Yang Liu
Keyword(s):  
Time Delay ◽  
Sufficient Conditions ◽  
Reference State ◽  
Switching Topology ◽  
Linear Matrix ◽  
Time Varying ◽  
Multi Agent Systems ◽  
Consensus Formation ◽  
Arbitrary Switching ◽  
Multi Agent

This paper is devoted to the study of consensus problem of multi-agent systems with a time-varying reference state in directed networks with both switching topology and time-delay. Stability analysis is performed based on a proposed Lyapunov–Krasovskii function. Sufficient conditions based on linear matrix inequalities (LMIs) are given to guarantee that multi-agent consensus on a time-varying reference state can be achieved under arbitrary switching of the network topology even if the network communication is affected by time-delay. These consensus algorithms are also extended to consensus formation among the agents. Finally, simulation example is given to validate our theoretical results.

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