Asymptotical consensus of fractional-order multi-agent systems with current and delay states

doi:10.1007/s10483-019-2533-8

Applied Mathematics and Mechanics (English Edition) ›› 2019, Vol. 40 ›› Issue (11): 1677-1694.doi: https://doi.org/10.1007/s10483-019-2533-8

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Asymptotical consensus of fractional-order multi-agent systems with current and delay states

Xuhui WANG¹, Xuesong LI¹, Nanjing HUANG¹, D. O'REGAN²

1. Department of Mathematics, Sichuan University, Chengdu 610064, China;
2. School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland

Received:2019-01-03 Revised:2019-06-10 Online:2019-11-01 Published:2019-10-28
Contact: Nanjing HUANG E-mail:nanjinghuang@hotmail.com
Supported by:
Project supported by the National Natural Science Foundation of China (Nos. 11471230 and 11671282)

Abstract

Abstract: In this paper, we study some new fractional-order multi-agent systems with current and delay states (FMASCD). Using the generalized Nyquist’s stability criterion and Gerschgorin’s circle theorem, we obtain the bounded input-bounded output (BIBO) stability and asymptotical consensus of the FMASCD under mild conditions. Moreover, we give some numerical examples to illustrate our main results.

Key words: fractional-order multi-agent system (FMAS), asymptotical consensus, current state, delay state

2010 MSC Number:

34A08
34D05

Xuhui WANG, Xuesong LI, Nanjing HUANG, D. O'REGAN. Asymptotical consensus of fractional-order multi-agent systems with current and delay states. Applied Mathematics and Mechanics (English Edition), 2019, 40(11): 1677-1694.

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Asymptotical consensus of fractional-order multi-agent systems with current and delay states

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