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

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.