Control and stability of the linearized dispersion-generalized Benjamin–Ono equation on a periodic domain

We investigate the exact control problem associated to the linearized dispersion-generalized Benjamin–Ono equation which contains fractional-order spatial derivatives on a periodic domain, T . More specifically, we establish that a mass-preserving external force can be applied to the linear system t...

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Bibliographic Details
Published in:Mathematics of control, signals, and systems signals, and systems, 2018-09, Vol.30 (3), p.1-16, Article 13
Main Author: Flores, C.
Format: Article
Language:English
Subjects:
Communications Engineering
Control
Control stability
Dispersion
Feedback control
Linearization
Mathematics
Mathematics and Statistics
Mechatronics
Networks
Original Article
Robotics
Systems Theory
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Summary:We investigate the exact control problem associated to the linearized dispersion-generalized Benjamin–Ono equation which contains fractional-order spatial derivatives on a periodic domain, T . More specifically, we establish that a mass-preserving external force can be applied to the linear system to achieve a final state from a given initial state. The stabilization problem with a linear feedback control is also studied.
ISSN:0932-4194
1435-568X
DOI:10.1007/s00498-018-0219-z