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2013 Controllability Criteria for Linear Fractional Differential Systems with State Delay and Impulses
Hai Zhang, Jinde Cao, Wei Jiang
J. Appl. Math. 2013: 1-9 (2013). DOI: 10.1155/2013/146010

Abstract

This paper is concerned with the controllability of linear fractional differential systems with delay in state and impulses. The factors of such systems including fractional derivative, impulses, and delay are taken into account synchronously. The expression of state response for such systems is derived, and the sufficient and necessary conditions of controllability criteria are established. Both the proposed criteria and illustrative examples show that the controllability property of the linear systems is dependent neither on the order of fractional derivative, on delay nor on impulses.

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Hai Zhang. Jinde Cao. Wei Jiang. "Controllability Criteria for Linear Fractional Differential Systems with State Delay and Impulses." J. Appl. Math. 2013 1 - 9, 2013. https://doi.org/10.1155/2013/146010

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1271.93028
MathSciNet: MR3064923
Digital Object Identifier: 10.1155/2013/146010

Rights: Copyright © 2013 Hindawi

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