Observability for singular control systems of fractional order
type: Item
instance of: scholarly article
zbMATH Open document ID: 0982.93024
author: A. Abd El-Ghaffar
publication date: 2002-04-09T00:00:00Z
Mathematics Subject Classification ID: 93B07
Mathematics Subject Classification ID: 34A09
zbMATH DE Number: 1626268
zbMATH Keywords: singular control systems
zbMATH Keywords: derivatives of fractional order
zbMATH Keywords: fractional order dynamical systems
zbMATH Keywords: observability
zbMATH Keywords: fractional control systems
MaRDI profile type: Publication
title: Observability for singular control systems of fractional order
published in: Journal of Fractional Calculus
review text: Linear, finite-dimensional, continuous-time, singular control systems with constant coefficients and derivatives of fractional order are considered. Fundamental results from the theory of fractional order dynamical systems are recalled (see e.g. [\textit{K. S. Miller} and \textit{B. Ross}, ``An introduction to the fractional calculus and fractional differential equations'', John Wiley \& Sons, New York (1993)] for more details). Next, using algebraic methods, necessary and sufficient conditions for observability in a given finite-time interval are formulated and proved. A simple numerical example that illustrates the theoretical considerations is also given. Moreover, several remarks and comments concerning fractional order dynamical control systems are presented. Similar observability problems for fractional control systems have been recently considered in the paper [\textit{A. B. Shamardan} and \textit{M. R. A. Moubarak}, Controllability and observability for fractional control systems, J. Fractional Calc. 15, 25-34 (1999; Zbl 0964.93013)].
reviewed by: Jerzy Klamka
description: scientific article; zbMATH DE number 1626268