Leader-Following Consensus of Fractional-Order Multi-Agent Systems With Nonlinear Models

ZHU Wei; CHEN Bo

doi:10.3879/j.issn.1000-0887.2015.05.011

Volume 36 Issue 5

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ZHU Wei, CHEN Bo. Leader-Following Consensus of Fractional-Order Multi-Agent Systems With Nonlinear Models[J]. Applied Mathematics and Mechanics, 2015, 36(5): 555-562. doi: 10.3879/j.issn.1000-0887.2015.05.011

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Leader-Following Consensus of Fractional-Order Multi-Agent Systems With Nonlinear Models

doi: 10.3879/j.issn.1000-0887.2015.05.011

ZHU Wei,
CHEN Bo

Research Center of System Theory and Application, Chongqing University of Posts and Telecommunications, Chongqing 400065, P.R.China

Received Date: 2014-11-10
Publish Date: 2015-05-15

Abstract

Abstract

The leader-following consensus of multi-agent systems with fractional-order nonlinear models was investigated. Under the assumption that the system communication topology contains a leader-rooted spanning tree, the control gain matrix was designed and the controllers were presented based on the theory of algebraic Riccati equations. Then, a sufficient condition for the leader-following consensus of multi-agent systems was given by means of the Laplace transform and inverse transform, the Mittag-Leffler function, the generalized Gronwall inequality and the stability theory of fractional differential equations. Finally, the numerical simulation results show the effectiveness of the proposed theoretical condition.
- leader-following consensus,
- fractional-order,
- multi-agent system,
- nonlinear model

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References(17)

References

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