Infinite-time exact observability of Volterra systems in Hilbert spaces

Jian Hua Chen

doi:10.1016/j.sysconle.2019.02.004

Infinite-time exact observability of Volterra systems in Hilbert spaces

Jian Hua Chen^*

^*Corresponding author for this work

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

6 Citations (Scopus)

Abstract

We study infinite-time exact observability of Volterra systems in Hilbert spaces. Sufficient conditions are established under which infinite-time exact observability of a Volterra system follows from that of the corresponding Cauchy system without convolution term. This is done by combining the composition operator method with a result about bounded below composition operators on the Hardy space.

Original language	English
Pages (from-to)	28-32
Number of pages	5
Journal	Systems and Control Letters
Volume	126
DOIs	https://doi.org/10.1016/j.sysconle.2019.02.004
Publication status	Published - Apr 2019
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2019 Elsevier B.V.

Keywords

Composition operator
Hardy space
Infinite-time exact observability
Volterra equation

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10.1016/j.sysconle.2019.02.004

Cite this

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title = "Infinite-time exact observability of Volterra systems in Hilbert spaces",

abstract = "We study infinite-time exact observability of Volterra systems in Hilbert spaces. Sufficient conditions are established under which infinite-time exact observability of a Volterra system follows from that of the corresponding Cauchy system without convolution term. This is done by combining the composition operator method with a result about bounded below composition operators on the Hardy space.",

keywords = "Composition operator, Hardy space, Infinite-time exact observability, Volterra equation",

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year = "2019",

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doi = "10.1016/j.sysconle.2019.02.004",

language = "English",

volume = "126",

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T1 - Infinite-time exact observability of Volterra systems in Hilbert spaces

AU - Chen, Jian Hua

PY - 2019/4

Y1 - 2019/4

N2 - We study infinite-time exact observability of Volterra systems in Hilbert spaces. Sufficient conditions are established under which infinite-time exact observability of a Volterra system follows from that of the corresponding Cauchy system without convolution term. This is done by combining the composition operator method with a result about bounded below composition operators on the Hardy space.

AB - We study infinite-time exact observability of Volterra systems in Hilbert spaces. Sufficient conditions are established under which infinite-time exact observability of a Volterra system follows from that of the corresponding Cauchy system without convolution term. This is done by combining the composition operator method with a result about bounded below composition operators on the Hardy space.

KW - Composition operator

KW - Hardy space

KW - Infinite-time exact observability

KW - Volterra equation

UR - https://www.scopus.com/pages/publications/85062855119

U2 - 10.1016/j.sysconle.2019.02.004

DO - 10.1016/j.sysconle.2019.02.004

M3 - Journal Article

AN - SCOPUS:85062855119

SN - 0167-6911

VL - 126

SP - 28

EP - 32

JO - Systems and Control Letters

JF - Systems and Control Letters

ER -

Infinite-time exact observability of Volterra systems in Hilbert spaces

Abstract

Bibliographical note

Keywords

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