Approximate Controllability of Second-order Semilinear Evolution Systems with Finite Delay

Xiao feng Su; Xian long Fu

doi:10.1007/s10255-021-1027-7

Approximate Controllability of Second-order Semilinear Evolution Systems with Finite Delay

Xiao feng Su
, Xian long Fu^*

^*Corresponding author for this work

School of Mathematical Sciences

Fudan University

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

4 Scopus citations

Abstract

In this work, we study the approximate controllability for a class of semilinear second-order control systems with finite delay. Sufficient conditions for approximate controllability are established by constructing fundamental solutions and using the resolvent condition and techniques on cosine family of linear operators. To illustrate the applications of the obtained results, an example is provided in the end.

Original language	English
Pages (from-to)	573-589
Number of pages	17
Journal	Acta Mathematicae Applicatae Sinica
Volume	37
Issue number	3
DOIs	https://doi.org/10.1007/s10255-021-1027-7
State	Published - Jul 2021

Keywords

34K30
34K35
35R10
93B05
93C10
approximate controllability
cosine operator
fundamental solution
second-order evolution equation

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10.1007/s10255-021-1027-7

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abstract = "In this work, we study the approximate controllability for a class of semilinear second-order control systems with finite delay. Sufficient conditions for approximate controllability are established by constructing fundamental solutions and using the resolvent condition and techniques on cosine family of linear operators. To illustrate the applications of the obtained results, an example is provided in the end.",

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AB - In this work, we study the approximate controllability for a class of semilinear second-order control systems with finite delay. Sufficient conditions for approximate controllability are established by constructing fundamental solutions and using the resolvent condition and techniques on cosine family of linear operators. To illustrate the applications of the obtained results, an example is provided in the end.

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KW - 35R10

KW - 93B05

KW - 93C10

KW - approximate controllability

KW - cosine operator

KW - fundamental solution

KW - second-order evolution equation

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Approximate Controllability of Second-order Semilinear Evolution Systems with Finite Delay

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Keywords

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