Non-fragile consensus for uncertain fractional-order nonlinear multi-agent systems with state time delay

2021 ◽  
Author(s):  
Xiaomin Li ◽  
Liping Chen ◽  
Yu Chen ◽  
Wenliang Guo ◽  
Changcheng Xu
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
State Time ◽  
Multi Agent

Fractional-order controllability of multi-agent systems with time-delay

2020 ◽  
Author(s):  
Bo Liu ◽  
Housheng Su ◽  
Licheng Wu ◽  
Xiali Li ◽  
Xue Lu
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Multi Agent

Delay-dependent consensus criteria for fractional-order Takagi-Sugeno fuzzy multi-agent systems with time delay

2021 ◽  
Vol 560 ◽  
pp. 456-475
Author(s):  
Yali Cheng ◽  
Taotao Hu ◽  
Yonghong Li ◽  
Xiaojun Zhang ◽  
Shouming Zhong
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Multi Agent ◽  
Delay Dependent ◽  
Takagi Sugeno

Consensus of fractional-order multi-agent systems with input time delay

2017 ◽  
Vol 20 (1) ◽  
Author(s):  
Wei Zhu ◽  
Bo Chen ◽  
Jie Yang
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Matrix Theory ◽  
Sufficient Conditions ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Multi Agent ◽  
Input Time ◽  
Bounded Input ◽  
Function Matrix

AbstractMany phenomena in inter-disciplinary fields can be explained naturally by coordinated behavior of agents with fractional-order dynamics. Under the assumption that the interconnection topology of all agents has a spanning tree, the consensuses of linear and nonlinear fractional-order multi-agent systems with input time delay are studied, respectively. Based on the properties of Mittag-Leffler function, matrix theory, stability theory of fractional-order differential equations, some sufficient conditions on consensus are derived by using the technique of inequality, which shows that the consensus can be achieved for any bounded input time delay. Finally, two numerical examples are given to illustrate the effectiveness of the theoretical results.

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