The causal α-exponential and the solution of fractional linear time-invariant systems

被引：1

作者：

Bengochea, G. ^{[1
,5
]}

Ortigueira, M. ^{[2
,3
]}

Verde-Star, L. ^{[4
]}

机构：

[1] Univ Autonoma Ciudad Mexico, Acad Matemat, Mexico City, Mexico

[2] NOVA Univ Lisbon, UNINOVA, Lisbon, Portugal

[3] NOVA Univ Lisbon, NOVA Sch Sci & Technol, Dept Elect Engn, Lisbon, Portugal

[4] Univ Autonoma Metropolitana, Dept Matemat, Mexico City, Mexico

[5] Prol San Isidro 151, Mexico City 09790, Mexico

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2024年 / 55卷 / 09期

关键词：

Fractional derivative; fractional linear systems; alpha-exponential function; impulse response; step response; NUMERICAL COMPUTATION;

D O I：

10.1080/00207721.2024.2321369

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Closed-form expressions for the impulse and step responses of commensurable linear time-invariant systems are deduced and exemplified. The algorithm is based on obtaining the solution in terms of the alpha-exponential monomials that generate a vector space containing the solutions of such systems. Several examples are considered, together with the numerical aspects involved in calculating the related series, which show the accuracy and effectiveness of the approach.

引用

页码：1790 / 1806

页数：17

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