Graph Laplacian Potential and Lyapunov Functions for Multi-Agent Systems

2014 ◽  
pp. 221-234
Author(s):  
Frank L. Lewis ◽  
Hongwei Zhang ◽  
Kristian Hengster-Movric ◽  
Abhijit Das
Keyword(s):  
Lyapunov Functions ◽  
Graph Laplacian ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Multi Agent

scholarly journals On constructing Lyapunov functions for multi-agent systems

Automatica ◽  
2015 ◽  
Vol 58 ◽  
pp. 39-42 ◽  
Author(s):  
Hongwei Zhang ◽  
Zhongkui Li ◽  
Zhihua Qu ◽  
Frank L. Lewis
Keyword(s):  
Lyapunov Functions ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Multi Agent

On the consensus tracking investigation for multi-agent systems on time scale via matrix-valued Lyapunov functions

Automatica ◽  
2018 ◽  
Vol 97 ◽  
pp. 316-326 ◽  
Author(s):  
Serhii Babenko ◽  
Michael Defoort ◽  
Mohamed Djemai ◽  
Serge Nicaise
Keyword(s):  
Time Scale ◽  
Lyapunov Functions ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Consensus Tracking ◽  
Multi Agent

Distributed coordination in multi-agent systems: a graph Laplacian perspective

2015 ◽  
Vol 16 (6) ◽  
pp. 429-448 ◽  
Author(s):  
Zhi-min Han ◽  
Zhi-yun Lin ◽  
Min-yue Fu ◽  
Zhi-yong Chen
Keyword(s):  
Graph Laplacian ◽  
Distributed Coordination ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Multi Agent

scholarly journals A matrix inequality based design method for consensus problems in multi-agent systems

2009 ◽  
Vol 19 (4) ◽  
pp. 639-646 ◽  
Author(s):  
Guisheng Zhai ◽  
Shohei Okuno ◽  
Joe Imae ◽  
Tomoaki Kobayashi
Keyword(s):  
Design Method ◽  
Graph Laplacian ◽  
Consensus Problem ◽  
Matrix Inequality ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Controller Gain ◽  
The Matrix ◽  
Lyapunov Matrix ◽  
Multi Agent

A matrix inequality based design method for consensus problems in multi-agent systemsIn this paper, we study a consensus problem in multi-agent systems, where the entire system is decentralized in the sense that each agent can only obtain information (states or outputs) from its neighbor agents. The existing design methods found in the literature are mostly based on a graph Laplacian of the graph which describes the interconnection structure among the agents, and such methods cannot deal with complicated control specification. For this purpose, we propose to reduce the consensus problem at hand to the solving of a strict matrix inequality with respect to a Lyapunov matrix and a controller gain matrix, and we propose two algorithms for solving the matrix inequality. It turns out that this method includes the existing Laplacian based method as a special case and can deal with various additional control requirements such as the convergence rate and actuator constraints.

Design of an Intelligent System to Support Tutors in Learning Communities Using Multi-Agent Systems and Fuzzy Logic

2015 ◽  
Vol 10 (8) ◽  
pp. 845 ◽  
Author(s):  
Youness Chaabi ◽  
R. Messoussi ◽  
V. Hilaire ◽  
Y. Ruichek ◽  
K. Lekdioui ◽  
...  
Keyword(s):  
Fuzzy Logic ◽  
Learning Communities ◽  
Intelligent System ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Multi Agent
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