Second-order consensus of multi-agent systems with nonlinear dynamics via impulsive control

Authors:
Yufeng Qian;Xiaoqun Wu;Jinhu Lü;Jun-An Lu
Affiliations:
School of Mathematics and Statistics, Wuhan University, Wuhan 430072, PR China;School of Mathematics and Statistics, Wuhan University, Wuhan 430072, PR China;LSC, Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, PR China;School of Mathematics and Statistics, Wuhan University, Wuhan 430072, PR China
Venue:
Neurocomputing
Year:
2014

Citing 8
Cited 0

Matrix analysis

Matrix analysis
Topics in matrix analysis

Topics in matrix analysis
Flocks, herds and schools: A distributed behavioral model

SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Distributed Consensus in Multi-vehicle Cooperative Control: Theory and Applications

Distributed Consensus in Multi-vehicle Cooperative Control: Theory and Applications
Brief paper: A unified synchronization criterion for impulsive dynamical networks

Automatica (Journal of IFAC)
Synchronization of complex dynamical networks with time-varying delays via impulsive distributed control

IEEE Transactions on Circuits and Systems Part I: Regular Papers
Global relative parameter sensitivities of the feed-forward loops in genetic networks

Neurocomputing
Consensus of discrete-time multi-agent systems with transmission nonlinearity

Automatica (Journal of IFAC)

Quantified Score

Hi-index	0.01

Visualization

Abstract

In many real-world multi-agent systems, the intrinsic dynamics of velocity for each agent is usually nonlinear dynamic rather than static. Moreover, it is often difficult to obtain the continuous velocity information of multi-agent systems. To overcome the above essential difficulties, this paper aims at investigating the second-order consensus problem of multi-agents systems with nonlinear dynamics by using impulsive control signal protocol. In detail, by using the impulsive signals from agents and virtual leaders, several impulsive control protocols are designed for reaching the second-order consensus of multi-agent systems with fixed or switching topologies. The theoretical analysis is also given to guarantee the second-order consensus based on algebraic graph theory and stability theory of impulsive differential equations. Finally, two typical examples are used to validate the above developed theoretical results.