Approximate controllability of semilinear non-autonomous evolutionary systems with nonlocal conditions

Xianlong Fu; Huang Rong

doi:10.1134/S000511791603005X

Approximate controllability of semilinear non-autonomous evolutionary systems with nonlocal conditions

Xianlong Fu^*
, Huang Rong

^*Corresponding author for this work

East Chinese Pedagogical University

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

22 Scopus citations

Abstract

We consider approximate controllability of semilinear non-autonomous evolutionary systems with nonlocal conditions. In this study, we use the theory of fractional powers and α-norms, so our results can be applied to systems where nonlinear terms include derivatives of spatial variables. We formulate and prove sufficient conditions for approximate controllability. We also give a sample application of our results.

Original language	English
Pages (from-to)	428-442
Number of pages	15
Journal	Automation and Remote Control
Volume	77
Issue number	3
DOIs	https://doi.org/10.1134/S000511791603005X
State	Published - 1 Mar 2016
Externally published	Yes

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title = "Approximate controllability of semilinear non-autonomous evolutionary systems with nonlocal conditions",

abstract = "We consider approximate controllability of semilinear non-autonomous evolutionary systems with nonlocal conditions. In this study, we use the theory of fractional powers and α-norms, so our results can be applied to systems where nonlinear terms include derivatives of spatial variables. We formulate and prove sufficient conditions for approximate controllability. We also give a sample application of our results.",

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AB - We consider approximate controllability of semilinear non-autonomous evolutionary systems with nonlocal conditions. In this study, we use the theory of fractional powers and α-norms, so our results can be applied to systems where nonlinear terms include derivatives of spatial variables. We formulate and prove sufficient conditions for approximate controllability. We also give a sample application of our results.

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M3 - 文章

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Approximate controllability of semilinear non-autonomous evolutionary systems with nonlocal conditions

Abstract

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