Time-Varying Polar Decomposition by Continuous-Time Model and Discrete-Time Algorithm of Zeroing Neural Network Using Zhang Time Discretization (ZTD)

Abstract

Time-varying polar decomposition becomes important and has many applications in potential fields. This paper first proposes a continuous-time model and a discrete-time algorithm of zeroing neural network (ZNN) for time-varying polar decomposition. The continuous-time polar decomposition (CTPD) model is obtained by using ZNN method. Besides, the discrete-time polar decomposition (DTPD) algorithm of ZNN is obtained by utilizing a 7-instant Zhang time discretization (ZTD) formula for being realized in digital computer readily. Finally, this paper investigates two numerical examples with different dimensions. The corresponding numerical results substantiate the relative effectiveness of the proposed continuous-time model and discrete-time algorithm of ZNN for time-varying polar decomposition.