Stabilization of the coupled ODE-linearized KdV system

Abstract This paper considers the exponential stabilization of coupled ordinary differential equation (ODE)-linearized Korteweg-de Vries (KdV) equation system coupled at right boundary point with left boundary control. Firstly, we transfer the original system into an exponentially stable target syst...

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Bibliographic Details
Published inJournal of physics. Conference series Vol. 2585; no. 1; pp. 12011 - 12017
Main Authors Yang, Y H, Zhou, Z C
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.08.2023
Subjects
Boundary control
Closed loops
Differential equations
Feedback control
Linearization
Physics
Stabilization
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Summary:Abstract This paper considers the exponential stabilization of coupled ordinary differential equation (ODE)-linearized Korteweg-de Vries (KdV) equation system coupled at right boundary point with left boundary control. Firstly, we transfer the original system into an exponentially stable target system by backstepping transformation. Secondly, we show the existence of the kernels in forward and backward transformation. Finally, we prove the exponential stability of the closed-loop system.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/2585/1/012011