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首页> 外文会议>Time delay systems: methods, applications and new trends >Discretization of Solution Operators for Linear Time Invariant - Time Delay Systems in Hilbert Spaces
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Discretization of Solution Operators for Linear Time Invariant - Time Delay Systems in Hilbert Spaces

机译：Hilbert空间中线性时不变时滞系统解算子的离散化。

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摘要

In this paper a numerical scheme to discretize the solution operators of linear time invariant - time delay systems is proposed and analyzed. Following previous work of the authors on the classic state space of continuous functions, here the focus is on working in product Hilbert state spaces. The method is based on a combination of collocation and Fourier projection. Full discretization details for constructing the approximation matrices are given for the sake of implementation. Moreover, convergence results are proved and discussed, with particular attention to their pros and cons with regards to fundamental targets such as time-integration and detection of asymptotic stability of equilibria.
机译：提出并分析了离散线性时不变时滞系统解算子的数值方案。继作者先前关于连续函数的经典状态空间的工作之后，这里的重点是在产品希尔伯特状态空间中工作。该方法基于搭配和傅立叶投影的组合。为实现起见，给出了构造近似矩阵的完整离散化细节。此外，证明和讨论了收敛结果，并特别注意了它们在诸如时间积分和平衡性渐近稳定性检测等基本目标方面的优缺点。

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  • 来源
  • 会议地点 Prague(CZ);Sinaia(RO)
  • 作者

    Dimitri Breda; Stefano Maset; Rossana Vermiglio;

  • 作者单位

    Dipartimento di Matematica e Informatica Universita degli Studi di Udine via delle Scienze 2061-33100 Udine, Italy;

    Dipartimento di Matematica e Informatica Universita degli Studi di Trieste via Valerio 12 I-34127 Trieste, Italy;

    Dipartimento di Matematica e Informatica Universita degli Studi di Udine via delle Scienze 206 I-33100 Udine, Italy;

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  • 正文语种 eng
  • 中图分类 时间与频率计量;
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