Distributed synchronization control of multi-agent systems with unknown nonlinearities: The case of fixed directed communication topology

2014 ◽  
Author(s):  
Shize Su ◽  
Zongli Lin ◽  
Alfredo Garcia
Keyword(s):  
Synchronization Control ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Communication Topology ◽  
Distributed Synchronization ◽  
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.

scholarly journals A Lyapunov–Krasovskii Functional Approach to Stability and Linear Feedback Synchronization Control for Nonlinear Multi-Agent Systems with Mixed Time Delays

2021 ◽  
Vol 2021 ◽  
pp. 1-20
Author(s):  
A. Stephen ◽  
R. Raja ◽  
J. Alzabut ◽  
Q. Zhu ◽  
M. Niezabitowski ◽  
...  
Keyword(s):  
Time Delays ◽  
Analytical Techniques ◽  
Linear Feedback ◽  
Synchronization Control ◽  
Multi Agent Systems ◽  
Feedback Controllers ◽  
Agent Systems ◽  
Mixed Time Delays ◽  
Multi Agent ◽  
The Stability

This study focuses on mixed time delayed, both leaderless and leader-follower problems of nonlinear multi-agent systems. Here, we find the stability criteria for multi-agent systems (MASs) by utilizing a proposed lemma, the Lyapunov–Krasovskii functions, analytical techniques, Kronecker product, and some general specifications to obtain the asymptotic stability for the constructed MASs. Furthermore, the criteria to establish the synchronization of leader-follower multiagent systems with linear feedback controllers are discussed. Finally, we provide two numerical calculations along with the computational simulations to check the validity of the theoretical findings reported for both leaderless and leader-follower problem in this study.

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