论文标题
SSD-延迟系统的软件：可再现的示例和模型降低的基准和H2规范计算
SSD -- Software for Systems with Delays: Reproducible Examples and Benchmarks on Model Reduction and H2 Norm Computation
论文作者
论文摘要
我们提供SSD，具有延迟的系统软件，一个从头MATLAB包装，用于分析和模型减少延迟时间延迟系统（RTDS）。在下面，我们的延迟系统对象桥接RTDS表示和MATLAB的线性分数转换（LFT）表示。这允许无缝使用MATLAB的许多可视化。此外，我们实施了一组关键功能，例如H2 Norm和System Gramian计算，通过直接积分定义的平衡实现和降低以及利用稀疏计算。作为理论上的贡献，我们将频率限制的平衡降低扩展到第一次延迟系统，提出计算算法并进行实现。我们在H2规范计算和模型还原方面收集了两组基准问题。 SSD可在GitHub公开发售，网址为https://github.com/gumussoysuat/ssd。我们可重现的纸张和两个基准集合作为可执行的笔记本共享。
We present SSD, Software for Systems with Delays, a de novo MATLAB package for the analysis and model reduction of retarded time delay systems (RTDS). Underneath, our delay system object bridges RTDS representation and Linear Fractional Transformation (LFT) representation of MATLAB. This allows seamless use of many available visualizations of MATLAB. In addition, we implemented a set of key functionalities such as H2 norm and system gramian computations, balanced realization and reduction by direct integral definitions and utilizing sparse computation. As a theoretical contribution, we extend the frequency-limited balanced reduction to delay systems first time, propose a computational algorithm and give its implementation. We collected two sets of benchmark problems on H2 norm computation and model reduction. SSD is publicly available in GitHub at https://github.com/gumussoysuat/ssd. Our reproducible paper and two benchmark collections are shared as executable notebooks.
