Fuzzy distributed adaptive consensus of multi-agent systems with imprecise communication topology structure

2017 ◽  
Author(s):  
Jiaxi Chen ◽  
Junmin Li ◽  
Jinsha Li
Keyword(s):  
Multi Agent Systems ◽  
Topology Structure ◽  
Agent Systems ◽  
Communication Topology ◽  
Multi Agent

Consensus stability in multi-agent systems with periodically switched communication topology using Floquet theory

2020 ◽  
pp. 014233122096905
Author(s):  
Mohammad Maadani ◽  
Eric A Butcher
Keyword(s):  
Feedback Linearization ◽  
Floquet Theory ◽  
Kuramoto Model ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Unstable Subsystems ◽  
Special Cases ◽  
Communication Topology ◽  
Multi Agent ◽  
The Stability

The stability of consensus in linear and nonlinear multi-agent systems with periodically switched communication topology is studied using Floquet theory. The proposed strategy is illustrated for the cases of consensus in linear single-integrator, higher-order integrator, and leader-follower consensus. In addition, the application of Floquet theory in analyzing special cases such as switched systems with joint connectivity, unstable subsystems, and nonlinear systems, including the use of feedback linearization and local linearization in the Kuramoto model, is also studied. By utilizing Floquet theory for multi-agent systems with periodically switched communication topologies, one can simultaneously evaluate the effects of each subsystem’s convergence rate and dwell time on overall behavior. Numerical simulation results are presented to demonstrate the efficacy of the proposed approach in stability analysis of all these cases.

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