scholarly journals Average-consensus Problem of Multi-agent Systems with Non-uniform and Asymmetric Time-delays

2011 ◽  
Vol 47 (2) ◽  
pp. 100-109
Author(s):  
Kazunori SAKURAMA ◽  
Kazushi NAKANO
Keyword(s):  
Time Delays ◽  
Consensus Problem ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Average Consensus ◽  
Multi Agent

scholarly journals Nonlinear Consensus Protocol Modified from Doubly Stochastic Quadratic Operators in Networks of Dynamic Agents

Symmetry ◽  
2019 ◽  
Vol 11 (12) ◽  
pp. 1519 ◽  
Author(s):  
Rawad Abdulghafor ◽  
Sultan Almotairi ◽  
Hamad Almohamedh ◽  
Sherzod Turaev ◽  
Badr Almutairi
Keyword(s):  
Theoretical Analysis ◽  
Consensus Problem ◽  
Multi Agent Systems ◽  
Consensus Protocol ◽  
Agent Systems ◽  
Doubly Stochastic ◽  
Average Consensus ◽  
Multi Agent ◽  
Mathematical Equations ◽  
Simulation Results

This article explores nonlinear convergence to limit the effects of the consensus problem that usually occurs in multi-agent systems. Most of the existing research essentially considers the outline of linear protocols, using complex mathematical equations in various orders. In this work, however, we designed and developed an alternative nonlinear protocol based on simple and effective mathematical approaches. The designed protocol in this sense was modified from the Doubly Stochastic Quadratic Operators (DSQO) and was aimed at resolving consensus problems. Therefore, we called it Modified Doubly Stochastic Quadratic Operators (MDSQO). The protocol was derived in the context of coordinated systems to overcome the consensus issue related to multi-agent systems. In the process, we proved that by using the proposed nonlinear protocol, the consensus could be reached via a common agreement among the agents (average consensus) in a fast and easy fashion without losing any initial status. Moreover, the investigated nonlinear protocol of MDSQO realized the reaching consensus always as well as DSQO in some cases, which could not reach consensus. Finally, simulation results were given to prove the validity of the theoretical analysis.

“Kronecker Basis” Based Average Consensus Analyses for High-Order Linear Multi-Agent Systems with Multiple Time Delays

2014 ◽  
Vol 17 (4) ◽  
pp. 1444-1452 ◽  
Author(s):  
Huangyong Zhu ◽  
Yirui Cong ◽  
Xiangke Wang ◽  
Daibing Zhang ◽  
Qingjie Zhang
Keyword(s):  
Time Delays ◽  
High Order ◽  
Multiple Time ◽  
Multi Agent Systems ◽  
Order Linear ◽  
Agent Systems ◽  
Average Consensus ◽  
Multiple Time Delays ◽  
Multi Agent

Consensus conditions for higher-order descriptor multi-agent systems with communication time-delays

2020 ◽  
Vol 42 (11) ◽  
pp. 2127-2136 ◽  
Author(s):  
Zhiyun Gao ◽  
Huaguang Zhang ◽  
Jie Duan ◽  
Yuliang Cai
Keyword(s):  
Time Delays ◽  
Sufficient Conditions ◽  
Higher Order ◽  
Lyapunov Theory ◽  
Linear Matrix ◽  
Consensus Problem ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Communication Time ◽  
Multi Agent

In this paper, the consensus problem for higher-order descriptor multi-agent systems (DMASs) with time-delays is investigated. Firstly, a distributed consensus protocol based on output feedback is proposed. Secondly, the state transformation is presented to convert the consensus problem into the stability problem. Based on the Lyapunov theory and the linear matrix inequality (LMI) method, sufficient conditions in terms of LMIs are derived to ensure that consensus of DMASs can be achieved. Moreover, the consensus problem for higher-order DMASs with delays is solved under two cases where interaction topologies are undirected and directed, which is more complicated and challenging. Finally, numerical simulations are provided to demonstrate the effectiveness of our results.

Robust Consensus of Multi-Agent Systems with Nonuniform Time-Delays and Switching Topologies

2013 ◽  
Vol 336-338 ◽  
pp. 804-810
Author(s):  
Wen Guang Zhang ◽  
Ji Zhen Liu ◽  
De Liang Zeng ◽  
Yan Song Deng
Keyword(s):  
Time Delays ◽  
Sufficient Condition ◽  
Consensus Problem ◽  
Multi Agent Systems ◽  
External Disturbances ◽  
Agent Systems ◽  
Switching Topologies ◽  
Multi Agent ◽  
Robust Consensus ◽  
Theoretical Results

This paper studies the robust consensus problem for multi-agent systems with nonuniform time-delays and switching topologies in the presence of external disturbances, where each agent has a self-delay and each delay is independent of each other. A neighbor-based rule is used for the agents with nonuniform time-delays and external disturbances. A sufficient condition is derived under which all agents achieve consensus while satisfying desired H_infinity performance. Finally, the effectiveness of the obtained theoretical results is demonstrated through numerical simulations.

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