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Deterministic analysis of distributed order systems using operational matrix

机译：使用操作矩阵的分布式订单系统的确定性分析

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摘要

Recently, distributed order systems as a generalized concept of fractional order have been a major focus in science and engineering areas, and have rapidly extended application across a wide range of disciplines. However, only a few numerical methods are available for analyzing the distributed order systems. This paper proposes a novel numerical scheme to analyze the behavior of single input single output linear systems in the time domain with a single distributed order differentiator/integrator by using operational matrix technique. The proposed method reduces different analysis problems to a system of algebraic equations by using block pulse functions, which makes it easy to handle an arbitrary input. Numerical examples were used to illustrate the accuracy and computational efficiency of the proposed method. The proposed method was found to be an efficient tool for analyzing linear distributed order systems.
机译：近年来，作为分数阶的广义概念的分布式阶次系统已成为科学和工程领域的主要焦点，并已迅速将其应用扩展到广泛的学科中。但是，只有少数数值方法可用于分析分布式订单系统。本文提出了一种新的数值方案，通过使用运算矩阵技术，分析了具有单分布阶微分/积分器的时域单输入单输出线性系统的行为。所提出的方法通过使用块脉冲函数将不同的分析问题减少到一个代数方程组，这使得处理任意输入变得容易。数值算例说明了该方法的准确性和计算效率。发现所提出的方法是分析线性分布式订单系统的有效工具。

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