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

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Abstract 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… Click to show full abstract

Abstract 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.

Keywords: asymptotic stability; order system; stability synchronization; distributed order

Journal Title: Neurocomputing
Year Published: 2020

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