Abstract By applying Zhang neural dynamics method, this study proposed, analyzed, and investigated a continuous-time model for solving the time-varying Schur decomposition (SD) problem. The proposed model is an explicit dynamics model that utilizes the time derivative information. The theoretical analysis of the proposed model is presented to verify its convergence and efficiency in solving the time-varying SD problem. Furthermore, the proposed model is used to perform the SD of three time-varying matrices with different dimensions. Results confirm the effectiveness of the proposed model.

中文翻译：

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通过张神经动力学的时变舒尔分解

摘要 本研究应用张神经动力学方法，提出、分析和研究了一种用于求解时变舒尔分解（SD）问题的连续时间模型。所提出的模型是利用时间导数信息的显式动力学模型。提出模型的理论分析，以验证其在解决时变 SD 问题中的收敛性和效率。此外，所提出的模型用于执行具有不同维度的三个时变矩阵的 SD。结果证实了所提出模型的有效性。