Exponential stability for linearized Korteweg-de Vries-ODE system

Author

Lu Lu ; Dong-Xia Zhao ; Lin-Hong Yao

Author_Institution

Sch. of Math., Beijing Inst. of Technol., Beijing, China

fYear

2014

fDate

May 31 2014-June 2 2014

Firstpage

3739

Lastpage

3743

Abstract

In this paper, a class of linearized Korteweg-de Vries equation is designed to be a dynamic boundary feedback controller to stabilize a pendulum, which is described as a second order ODE. The semigroup approach is adopted to show that the linear operator constructed in analyzing well-posedness and stability of the target system.For both the state and output feedback boundary controllers, exponential stability analysis in the sense of the corresponding norms for the resulting closed-loop system are provided.

Keywords

Korteweg-de Vries equation; asymptotic stability; closed loop systems; differential equations; pendulums; state feedback; closed-loop system; dynamic boundary feedback controller; exponential stability analysis; linear operator; linearized Korteweg-de Vries equation; linearized Korteweg-de Vries-ODE system; output feedback boundary controller; pendulum; second order ODE; state feedback boundary controller; target system stability; Control theory; Eigenvalues and eigenfunctions; Equations; Heating; Mathematical model; Stability analysis; Dynamic boundary control; Korteweg-de Vries equation; Stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (2014 CCDC), The 26th Chinese

Conference_Location

Changsha

Print_ISBN

978-1-4799-3707-3

Type

conf

DOI

10.1109/CCDC.2014.6852830

Filename

6852830