Title :
Stability of Burgers-Korteweg-de Vries Equation
Author :
Gao, Wenhua ; Deng, Feiqi
Author_Institution :
South China Univ. of Technol., Guangzhou
fDate :
May 30 2007-June 1 2007
Abstract :
For Burgers-Korteweg-de Vries(KdVB) equation defined on a finite spatial interval with unknown viscosity, a nonlinear boundary control law and an adaptation law are proposed. Based on Lyapunov direct method, the global asymptotic stability of the closed-loop system is proved. The stochastic case of Burgers-Korteweg-de Vries equation is also considered. The exponential stability of the delayed KdVB equation is also proved if the delay parameter is sufficiently small.
Keywords :
Korteweg-de Vries equation; Lyapunov methods; adaptive control; asymptotic stability; boundary-value problems; closed loop systems; delays; nonlinear control systems; stochastic systems; Lyapunov direct method; adaptation law; adaptive control; closed-loop system; delayed stochastic Burgers-Korteweg-de Vries equation stability; exponential stability; finite spatial interval; global asymptotic stability; nonlinear boundary control law; Adaptive control; Asymptotic stability; Automatic control; Automation; Boundary conditions; Delay effects; Educational institutions; Lyapunov method; Nonlinear equations; Viscosity; adaptive control; boundary control; stability;
Conference_Titel :
Control and Automation, 2007. ICCA 2007. IEEE International Conference on
Conference_Location :
Guangzhou
Print_ISBN :
978-1-4244-0818-4
Electronic_ISBN :
978-1-4244-0818-4
DOI :
10.1109/ICCA.2007.4376696
