Swarm Stability Analysis of Nonlinear Dynamical Multi-Agent Systems via Relative Lyapunov Function

2013 ◽  
Vol 39 (3) ◽  
pp. 2427-2434 ◽  
Author(s):  
Ning Cai ◽  
Jun-Wei Cao ◽  
Hai-Ying Ma ◽  
Cai-Xia Wang
Keyword(s):  
Stability Analysis ◽  
Lyapunov Function ◽  
Multi Agent Systems ◽  
Nonlinear Dynamical ◽  
Agent Systems ◽  
Multi Agent

Consensus Analysis of Nonlinear Dynamical Multi-Agent Systems by Relative Lyapunov Function Method

2012 ◽  
Vol 482-484 ◽  
pp. 1969-1972
Author(s):  
Hai Ying Ma ◽  
Ning Cai
Keyword(s):  
Lyapunov Function ◽  
Multi Agent Systems ◽  
Nonlinear Dynamical ◽  
Consensus Analysis ◽  
Agent Systems ◽  
Independent Variables ◽  
Space Transformation ◽  
Lyapunov Function Method ◽  
Multi Agent ◽  
Nonlinear High Order

In this note, condition for consensus of general nonlinear high-order multi-agent systems is analyzed based on the idea of space transformation. Consensus can be assured by sufficient connection of network and the dissipative property of the entire system regulated by relative Lyapunov function, with two independent variables.

Stability analysis of fractional delayed equations and its applications on consensus of multi-agent systems

2019 ◽  
Vol 73 ◽  
pp. 351-362 ◽  
Author(s):  
Song Liu ◽  
Ran Yang ◽  
Xian-Feng Zhou ◽  
Wei Jiang ◽  
Xiaoyan Li ◽  
...  
Keyword(s):  
Stability Analysis ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Multi Agent

Input-to-State Stability of Multi-Agent Systems

2014 ◽  
Vol 538 ◽  
pp. 486-489
Author(s):  
Xiao Li Wang ◽  
Qian Sun ◽  
Yu Min Chen
Keyword(s):  
Lyapunov Function ◽  
Directed Graph ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Multi Agent

In this paper, we mainly study input-to-state-stability (ISS) for the multi-agent systems with directed graph and the communication noise under switching interaction topologies, using the method of input-to-state-stability, input-to-state-stability -Lyapunov function. We point out the results of [5] is correct, but the proof of its main theorem has a small mistake, we give the proof by quite a different method.

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