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Journal of Dynamical Systems and Geometric Theories

(Since 2002)
Open Access ·Peer-reviewed·ISSN (Online): 2169-0057·ISSN (Print): 1726-037X

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Half-Yearly Journal: Publishes research on dynamical systems and geometry, including Random Dynamical Systems, hyperbolic behaviour, complex geometry and Ergodic theory.

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Journal of Dynamical Systems and Geometric Theories
Open Access Article

Functional approach to observability and controllability of linear fractional dynamical systems

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pp. 111–129Vol. 15Issue 2July 2017DOI: 10.1080/1726037X.2017.1390191XML
Received:
11 Dec 2016
Accepted:
07 Jul 2017
Published Online:
06 Dec 2017
Article type:
Article
Language:
EN
Article no.:
1726037X.2017.1390191
Pages:
111–129

Abstract

In this paper, a set of equivalent conditions for observability and controllability of linear fractional dynamical systems represented by the fractional differential equation in the sense of Caputo fractional derivative of order α ϵ (0,1] are established by using the tools of linear bounded operators. Examples are included to illustrate the theoretical results.

Keywords

ObservabilityControllabilityFractional DerivativeBounded Linear Operators

Subject Classifications

93B0793B0534A08

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