Analysis of the fractional descriptor discrete-time linear systems by the use of the shuffle algorithm

IF 1 Q3 Engineering

Journal of Computational Dynamics Pub Date : 2021-01-01 DOI:10.3934/JCD.2021007

T. Kaczorek, A. Ruszewski

引用次数: 0

Abstract

The shuffle algorithm is applied to analysis of the fractional descriptor discrete-time linear systems. Using the shuffle algorithm the singularity of the fractional descriptor linear system is eliminated and the system is decomposed into dynamic and static parts. Procedures for computation of the solution and dynamic and static parts of the system are proposed. Sufficient conditions for the positivity of the fractional descriptor discrete-time linear systems are established.

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用shuffle算法分析分数阶广义离散线性系统

将shuffle算法应用于分数阶广义离散线性系统的分析。利用shuffle算法消除了分数阶广义线性系统的奇异性，并将系统分解为动态部分和静态部分。给出了系统的解和动、静态部分的计算方法。建立了分数阶广义离散线性系统正性的充分条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Computational Dynamics Engineering-Computational Mechanics

CiteScore

2.30

自引率

10.00%

发文量

期刊介绍： JCD is focused on the intersection of computation with deterministic and stochastic dynamics. The mission of the journal is to publish papers that explore new computational methods for analyzing dynamic problems or use novel dynamical methods to improve computation. The subject matter of JCD includes both fundamental mathematical contributions and applications to problems from science and engineering. A non-exhaustive list of topics includes * Computation of phase-space structures and bifurcations * Multi-time-scale methods * Structure-preserving integration * Nonlinear and stochastic model reduction * Set-valued numerical techniques * Network and distributed dynamics JCD includes both original research and survey papers that give a detailed and illuminating treatment of an important area of current interest. The editorial board of JCD consists of world-leading researchers from mathematics, engineering, and science, all of whom are experts in both computational methods and the theory of dynamical systems.