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Peng Miao,Liujun Fan,Daoyuan Zhang 제어·로봇·시스템학회 2021 International Journal of Control, Automation, and Vol.19 No.4
Based on the second order differential equation, this paper investigates finite-time stability, finite-timeconvergence criterions and estimates of convergence time. The main contributions of this paper lie in the factthat two new finite-time convergence criterions are proposed through the property of the second order differentialequation and their upper bound of the convergence time is derived. In addition, our finite-time stability criterionsare used to a recurrent neural network for solving time-varying Sylvester equation and Pseudo-Inverse of a Matrix. At last, a numerical example and a Pseudo-Inverse of a Matrix demonstrate the effectiveness of our method.