Paper Info
Title
Small-time local stabilization for a Korteweg-de Vries equation.
Abstract
This paper focuses on the (local) small-time stabilization of a Korteweg–de Vries equation on bounded interval, thanks to a time-varying Dirichlet feedback law on the left boundary. Recently, backstepping approach has been successfully used to prove the null controllability of the corresponding linearized system, instead of Carleman inequalities. We use the “adding an integrator” technique to gain regularity on boundary control term which clears the difficulty from getting stabilization in small time.
Year
DOI
Venue
2018
10.1016/j.sysconle.2017.11.003
Systems & Control Letters
Keywords
Field
DocType
Korteweg–de Vries,Backstepping,Small-time stabilization,Adding an integrator
Applied mathematics,Backstepping,Controllability,Control theory,Integrator,Dirichlet distribution,Korteweg–de Vries equation,Mathematics,Bounded function
Journal
Volume
ISSN
Citations 
111
0167-6911
0
PageRank 
References 
Authors
0.34
4
1
Name
Order
Citations
PageRank
Shengquan Xiang100.34