Discrete-Time Zeroing Dynamics Model for Solving Generalized Sylvester Future Matrix System
Yunong Zhang, Xiao Liu, Yang Shi, Mingzhi Mao, Ning Tan · 2019
In this paper, a novel discrete-time zeroing dynamics (or termed, discrete-time Zhang dynamics, DTZD) model is proposed and analyzed for solving generalized Sylvester future matrix system (GSFMS). First of all, inspired by Kronecker product and vectorization techniques, we convert the GSFMS to a future matrix-vector equation. Secondly, a discretization formula (termed Zhang et al discretization formula, ZeaD formula) is presented, and a novel DTZD model is proposed for solving the GSFMS. In addition, theoretical analyses on the convergence and precision of the DTZD model are presented, and the comparative numerical experiments further substantiate the efficacy and superiority of the DTZD model.