Title :
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
fDate :
May 31 2014-June 2 2014
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;
Conference_Titel :
Control and Decision Conference (2014 CCDC), The 26th Chinese
Conference_Location :
Changsha
Print_ISBN :
978-1-4799-3707-3
DOI :
10.1109/CCDC.2014.6852830
