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

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 acqui...

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Published inNeurocomputing (Amsterdam) Vol. 404; pp. 276 - 282
Main Authors Liu, Xiao, Song, Qiankun, Yang, Xujun, Zhao, Zhenjiang, Liu, Yurong, Alsaadi, Fuad E.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 03.09.2020
Subjects
Asymptotic stability
Distributed-order derivative
Nonlinear system
Uncertainty
Asymptotic stability
Distributed-order derivative
Uncertainty
Nonlinear system
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Summary: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.
ISSN:0925-2312
1872-8286
DOI:10.1016/j.neucom.2020.05.011