NDLI: Node-to-node bipartite consensus of multi-agent systems with disturbances

Content Provider	IET Digital Library
Author	Hu, Aihua Park, Ju H. Cao, Jinde
Abstract	This study presents a novel concept of consensus for multi-agent systems with a two-layer framework, namely, the node-to-node bipartite consensus. The agents are divided into the virtual leaders and followers, and the signed graph representing communication channels of followers is supposed to be structurally balanced. Moreover, only a small part of the followers are pinned by their corresponding leaders. In addition, the proposed control is subjected to Gaussian disturbances or norm-bounded disturbances, and two extended forms of node-to-node bipartite consensus are correspondingly defined. By utilising the signed graph theory, the M-matrix theory, and the Lyapunov function approach, the consensus error between an arbitrary follower and its leader is proved to converge to zero in the mean square sense or to be ultimately bounded. The proposed conditions for consensus mainly depend on the selection of pinned followers and the coupling strength in each layer. Finally, the theoretical results are illustrated by detailed numerical examples.
Starting Page	1692
Ending Page	1699
Page Count	8
ISSN	17518644
Volume Number	14
e-ISSN	17518652
Issue Number	Issue 13, Sep (2020)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/14/13
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2019.0973
Journal	IET Control Theory & Applications
Publisher Date	2020-04-17
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Algebra Combinatorial Mathematics Complex Network Control System Analysis Gaussian Disturbances Graph Theory Interpolation And Function Approximation Lyapunov Function Approach Lyapunov Method M-matrix Theory Matrix Algebra Mean Square Error Method Mean Square Sense Multi-agent System Multiagent System Multivariable Control System Node-to-node Bipartite Consensus Norm-bounded Disturbances Numerical Analysis Signed Graph Representing Communication Channel Signed Graph Theory Stability in Control Theory Synthesis Method Uncertain System Virtual Followers Virtual Leaders
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

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