2013
DOI: 10.1155/2013/146010
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Controllability Criteria for Linear Fractional Differential Systems with State Delay and Impulses

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 dep… Show more

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Cited by 16 publications
(11 citation statements)
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“…Controllability criteria for linear fractional differential systems with a state delay and impulse were studied by Zhang et al (2013). Several results on the controllability of nonlinear fractional dynamical systems with multiple delays and distributed delays in control were derived by Balachandran and Kokila (2012; as well as Balachandran et al (2012a;2012c).…”
Section: Introductionmentioning
confidence: 99%
“…Controllability criteria for linear fractional differential systems with a state delay and impulse were studied by Zhang et al (2013). Several results on the controllability of nonlinear fractional dynamical systems with multiple delays and distributed delays in control were derived by Balachandran and Kokila (2012; as well as Balachandran et al (2012a;2012c).…”
Section: Introductionmentioning
confidence: 99%
“…Controllability of linear systems with delays in the state without constraints was analyzed by Zhang in [32], while different type constraints for the systems were studied by Sikora in [28]. Moreover, controllability for a class of fractional neutral integrodifferential equations with unbounded delay and controllability of neutral fractional functional equations with impulses and infinite delay were discussed in [2].…”
Section: Introductionmentioning
confidence: 99%
“…The controllability of fractional systems with delays in the state was discussed by Zhang et al (2013) and Busłowicz (2014). However, there are only few works concerning the controllability of time-delay fractional systems with retarded state.…”
Section: Introductionmentioning
confidence: 99%