On single input controllability for infinite dimensional linear systems

Avraham Feintuch

doi:10.1016/0022-247X(78)90147-6

On single input controllability for infinite dimensional linear systems

Avraham Feintuch

Department of Mathematics

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

3 Scopus citations

Abstract

Given a controllable linear system {A, B} where A is a Volterra operator, there exists a vector b in the range of B such that {A, b} is controllable. The case where A is a convolution operator on L²(0, ∞) is discussed and an example is given where a controllable system is not replaceable by a single input controllable system.

Original language	English
Pages (from-to)	538-546
Number of pages	9
Journal	Journal of Mathematical Analysis and Applications
Volume	62
Issue number	3
DOIs	https://doi.org/10.1016/0022-247X(78)90147-6
State	Published - 1 Mar 1978

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/0022-247X(78)90147-6

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title = "On single input controllability for infinite dimensional linear systems",

abstract = "Given a controllable linear system {A, B} where A is a Volterra operator, there exists a vector b in the range of B such that {A, b} is controllable. The case where A is a convolution operator on L2(0, ∞) is discussed and an example is given where a controllable system is not replaceable by a single input controllable system.",

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AB - Given a controllable linear system {A, B} where A is a Volterra operator, there exists a vector b in the range of B such that {A, b} is controllable. The case where A is a convolution operator on L2(0, ∞) is discussed and an example is given where a controllable system is not replaceable by a single input controllable system.

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U2 - 10.1016/0022-247X(78)90147-6

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JF - Journal of Mathematical Analysis and Applications

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ER -

On single input controllability for infinite dimensional linear systems

Abstract

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