论文标题
一类预定时间稳定系统的一致离散化
Consistent Discretization of a Class of Predefined-Time Stable Systems
论文作者
论文摘要
作为主要贡献，本文档提供了一类固定时稳定系统的一致离散化，即预定义的稳定系统。在不受干扰的情况下，所提出的方法不仅允许获得所考虑的预定时间稳定系统的一致而确切的离散化，而在受扰动的情况下，一致的离散化保留了预定义的时间稳定性。所有结果均通过模拟验证，并与常规的显式Euler方案进行了比较，从而强调了该提案的优势。
As the main contribution, this document provides a consistent discretization of a class of fixed-time stable systems, namely predefined-time stable systems. In the unperturbed case, the proposed approach allows obtaining not only a consistent but exact discretization of the considered class of predefined-time stable systems, whereas in the perturbed case, the consistent discretization preserves the predefined-time stability property. All the results are validated through simulations and compared with the conventional explicit Euler scheme, highlighting the advantages of this proposal.
