Approximate controllability of neutral functional differential systems with state-dependent delay

Xianlong Fu; Jialin Zhang

doi:10.1007/s11401-016-0934-z

Approximate controllability of neutral functional differential systems with state-dependent delay

Xianlong Fu^*
, Jialin Zhang

^*Corresponding author for this work

School of Mathematical Sciences

East China Normal University

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

This paper deals with the approximate controllability of semilinear neutral functional differential systems with state-dependent delay. The fractional power theory and α-norm are used to discuss the problem so that the obtained results can apply to the systems involving derivatives of spatial variables. By methods of functional analysis and semigroup theory, sufficient conditions of approximate controllability are formulated and proved. Finally, an example is provided to illustrate the applications of the obtained results.

Original language	English
Pages (from-to)	291-308
Number of pages	18
Journal	Chinese Annals of Mathematics. Series B
Volume	37
Issue number	2
DOIs	https://doi.org/10.1007/s11401-016-0934-z
State	Published - 1 Mar 2016

Keywords

Analytic semigroup
Approximate controllability
Fractional power operator
Neutral functional differential system
State-dependent delay

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10.1007/s11401-016-0934-z

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abstract = "This paper deals with the approximate controllability of semilinear neutral functional differential systems with state-dependent delay. The fractional power theory and α-norm are used to discuss the problem so that the obtained results can apply to the systems involving derivatives of spatial variables. By methods of functional analysis and semigroup theory, sufficient conditions of approximate controllability are formulated and proved. Finally, an example is provided to illustrate the applications of the obtained results.",

keywords = "Analytic semigroup, Approximate controllability, Fractional power operator, Neutral functional differential system, State-dependent delay",

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AB - This paper deals with the approximate controllability of semilinear neutral functional differential systems with state-dependent delay. The fractional power theory and α-norm are used to discuss the problem so that the obtained results can apply to the systems involving derivatives of spatial variables. By methods of functional analysis and semigroup theory, sufficient conditions of approximate controllability are formulated and proved. Finally, an example is provided to illustrate the applications of the obtained results.

KW - Analytic semigroup

KW - Approximate controllability

KW - Fractional power operator

KW - Neutral functional differential system

KW - State-dependent delay

UR - https://www.scopus.com/pages/publications/84957570914

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M3 - 文章

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JO - Chinese Annals of Mathematics. Series B

JF - Chinese Annals of Mathematics. Series B

IS - 2

ER -

Approximate controllability of neutral functional differential systems with state-dependent delay

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Keywords

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