State space solution of implicit fractional continuous time systems-Reference-Cited by-同舟云学术

State space solution of implicit fractional continuous time systems

Published:2012-06-30 Issue:3 Volume:15 Page:356-361
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Bouagada Djillali¹,Dooren Paul²

Affiliation:

1. Laboratory of Pure and Applied Mathematics Department of Mathematics, Faculty SEI, University Abdelhamid Ibn Badis of Mostaganem, BP 227, Mostaganem, 27000, Algeria

2. CESAME, Université catholique de Louvain Belgium, Av. Lemaitre 4, B - 1348, Louvain-la-Neuve, Belgium

Abstract

Abstract In this work we extend a result from the literature on fractional continuous-time linear systems to the case of implicit fractional continuous-time state space models, based on the Caputo fractional derivative. The solution of the problem is derived using the Laplace transform.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Link

http://link.springer.com/content/pdf/10.2478/s13540-012-0026-z.pdf

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