Approximate controllability of semilinear neutral retarded systems

Xianlong Fu

doi:10.1093/imamci/dnt019

Approximate controllability of semilinear neutral retarded systems

Xianlong Fu

School of Mathematical Sciences

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

6 Scopus citations

Abstract

This paper considers the approximate controllability for a class of neutral control systems governed by semilinear neutral delayed equations. Sufficient conditions for approximate controllability are established by constructing fundamental solutions and using Banach fixed-point principle. The obtained results improve some existing analogous ones to some extent. An example is presented to illustrate the applications of the obtained results.

Original language	English
Pages (from-to)	465-486
Number of pages	22
Journal	IMA Journal of Mathematical Control and Information
Volume	31
Issue number	4
DOIs	https://doi.org/10.1093/imamci/dnt019
State	Published - 30 Jan 2013

Keywords

Approximate controllability
C-semigroup
Fundamental solution
Neutral system

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10.1093/imamci/dnt019

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title = "Approximate controllability of semilinear neutral retarded systems",

abstract = "This paper considers the approximate controllability for a class of neutral control systems governed by semilinear neutral delayed equations. Sufficient conditions for approximate controllability are established by constructing fundamental solutions and using Banach fixed-point principle. The obtained results improve some existing analogous ones to some extent. An example is presented to illustrate the applications of the obtained results.",

keywords = "Approximate controllability, C-semigroup, Fundamental solution, Neutral system",

author = "Xianlong Fu",

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N2 - This paper considers the approximate controllability for a class of neutral control systems governed by semilinear neutral delayed equations. Sufficient conditions for approximate controllability are established by constructing fundamental solutions and using Banach fixed-point principle. The obtained results improve some existing analogous ones to some extent. An example is presented to illustrate the applications of the obtained results.

AB - This paper considers the approximate controllability for a class of neutral control systems governed by semilinear neutral delayed equations. Sufficient conditions for approximate controllability are established by constructing fundamental solutions and using Banach fixed-point principle. The obtained results improve some existing analogous ones to some extent. An example is presented to illustrate the applications of the obtained results.

KW - Approximate controllability

KW - C-semigroup

KW - Fundamental solution

KW - Neutral system

UR - https://www.scopus.com/pages/publications/84902523125

U2 - 10.1093/imamci/dnt019

DO - 10.1093/imamci/dnt019

M3 - 文章

AN - SCOPUS:84902523125

SN - 0265-0754

VL - 31

SP - 465

EP - 486

JO - IMA Journal of Mathematical Control and Information

JF - IMA Journal of Mathematical Control and Information

IS - 4

ER -

Approximate controllability of semilinear neutral retarded systems

Abstract

Keywords

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