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Asymptotic stability and synchronization for nonlinear distributed-order system with uncertain parameters
Journal article   Peer reviewed

Asymptotic stability and synchronization for nonlinear distributed-order system with uncertain parameters

Xiao Liu, Qiankun Song, Xujun Yang, Zhenjiang Zhao, Yurong Liu and Fuad E. Alsaadi
Neurocomputing (Amsterdam), Vol.404, pp.276-282
03/09/2020
DOI: https://doi.org/10.1016/j.neucom.2020.05.011

Abstract

Asymptotic stability Distributed-order derivative Nonlinear system Uncertainty
The asymptotic stability and synchronization for nonlinear distributed-order system with uncertain parameters is investigated in this paper. To this end, a new lemma for the distributed-order system is proposed to certify the asymptotic stability. Several sufficient conditions are presented to acquire the asymptotic stability and synchronization for such distributed-order models. In addition, by designing two numerical examples, the feasibility and effectiveness of theoretical results are verified.

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