Consensus analysis of discrete-time multi-agent systems in switching networks: a time-varying Lyapunov function method

2021 ◽  
Author(s):  
Bo Wang ◽  
Yu-Ping Tian ◽  
Zhimin Han
Keyword(s):  
Lyapunov Function ◽  
Discrete Time ◽  
Function Method ◽  
Time Varying ◽  
Multi Agent Systems ◽  
Switching Networks ◽  
Consensus Analysis ◽  
Agent Systems ◽  
Lyapunov Function Method ◽  
Multi Agent

Fast Finite-Time Consensus Tracking of Heterogeneous Multi-Agent Systems with a Virtual Leader

2014 ◽  
Vol 687-691 ◽  
pp. 580-586 ◽  
Author(s):  
Qiu Yun Xiao ◽  
Zhi Hai Wu ◽  
Li Peng
Keyword(s):  
Graph Theory ◽  
Lyapunov Function ◽  
Finite Time ◽  
Function Method ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Consensus Tracking ◽  
Lyapunov Function Method ◽  
Multi Agent ◽  
Virtual Leader

This paper proposes a novel finite-time consensus tracking protocol for guaranteeing heterogeneous multi-agent systems with a virtual leader to achieve the fast finite-time consensus tracking. The Lyapunov function method, algebra graph theory, homogeneity with dilation and some other techniques are employed to prove that heterogeneous multi-agent systems with a virtual leader applying the proposed protocol can reach the finite-time consensus tracking. Numerical simulations indicate that compared with traditional finite-time consensus tracking protocols, the proposed protocol can accelerate the convergence speed of the finite-time consensus tracking.

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.

Fast Finite-Time Consensus Tracking of First-Order Multi-Agent Systems with a Virtual Leader

2014 ◽  
Vol 596 ◽  
pp. 552-559 ◽  
Author(s):  
Qiu Yun Xiao ◽  
Zhi Hai Wu ◽  
Li Peng
Keyword(s):  
Graph Theory ◽  
Finite Time ◽  
Function Method ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
First Order ◽  
Consensus Tracking ◽  
Lyapunov Function Method ◽  
Multi Agent ◽  
Virtual Leader

This paper proposes a novel finite-time consensus tracking protocol for guaranteeing first-order multi-agent systems with a virtual leader to achieve the fast finite-time consensus tracking. The Lyapunov function method, algebra graph theory, homogeneity with dilation and some other techniques are employed to prove that first-order multi-agent systems with a virtual leader applying the proposed protocol can reach the finite-time consensus tracking. Furthermore, theoretical analysis and numerical simulations show that compared with the traditional finite-time consensus tracking protocols, the proposed protocol can accelerate the convergence speed of achieving the finite-time consensus tracking.

Constrained consensus of asynchronous discrete-time multi-agent systems with time-varying topology

2015 ◽  
Vol 320 ◽  
pp. 223-234 ◽  
Author(s):  
Bo Zhou ◽  
Xiaofeng Liao ◽  
Tingwen Huang ◽  
Huiwei Wang ◽  
Guo Chen
Keyword(s):  
Discrete Time ◽  
Time Varying ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Multi Agent
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