Controllability and Stabilizability of Coupled Strings with Control Applied at the Coupled Points

Lop-Fat Ho

doi:10.1137/0331066

Controllability and Stabilizability of Coupled Strings with Control Applied at the Coupled Points

Lop-Fat Ho

Wright State University

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

Abstract

Controllability and stabilizability of a system of coupled strings with control applied at the coupled points is studied. By investigating the properties of certain exponential series, it is shown that the system is approximate controllable if and only if related systems of uncoupled strings do not share a common eigenvalue. A sufficient condition for exact controllability is also obtained in terms of the Riesz basis properties of those exponential series.

Original language	American English
Journal	SIAM Journal on Control and Optimization
Volume	31
DOIs	https://doi.org/10.1137/0331066
State	Published - Nov 1 1993

Keywords

controllability
coupled strings
decay
nonharmonic fourier series
questions
riesz basis
stabilizability
systems
wave-equation

Disciplines

Applied Mathematics
Applied Statistics
Mathematics
Physical Sciences and Mathematics
Statistics and Probability

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Controllability and Stabilizability of Coupled Strings with ContrFinal published version, 1.51 MBLicense: Unspecified

Cite this

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abstract = " Controllability and stabilizability of a system of coupled strings with control applied at the coupled points is studied. By investigating the properties of certain exponential series, it is shown that the system is approximate controllable if and only if related systems of uncoupled strings do not share a common eigenvalue. A sufficient condition for exact controllability is also obtained in terms of the Riesz basis properties of those exponential series.",

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N2 - Controllability and stabilizability of a system of coupled strings with control applied at the coupled points is studied. By investigating the properties of certain exponential series, it is shown that the system is approximate controllable if and only if related systems of uncoupled strings do not share a common eigenvalue. A sufficient condition for exact controllability is also obtained in terms of the Riesz basis properties of those exponential series.

AB - Controllability and stabilizability of a system of coupled strings with control applied at the coupled points is studied. By investigating the properties of certain exponential series, it is shown that the system is approximate controllable if and only if related systems of uncoupled strings do not share a common eigenvalue. A sufficient condition for exact controllability is also obtained in terms of the Riesz basis properties of those exponential series.

KW - controllability

KW - coupled strings

KW - decay

KW - nonharmonic fourier series

KW - questions

KW - riesz basis

KW - stabilizability

KW - systems

KW - wave-equation

UR - https://corescholar.libraries.wright.edu/math/51

U2 - 10.1137/0331066

DO - 10.1137/0331066

M3 - Article

VL - 31

JO - SIAM Journal on Control and Optimization

JF - SIAM Journal on Control and Optimization

ER -

Controllability and Stabilizability of Coupled Strings with Control Applied at the Coupled Points

Abstract

Keywords

Disciplines

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