Title :
Control for the traveling wave solution to the Degasperis-Procesi equation
Author :
Zong, Xiju ; Cheng, Xingong ; Zhang, Yongfeng ; Bai, Wanjian ; Gao, Jun ; Hou, Guangsong
Author_Institution :
Sch. of Control Sci. & Eng., Univ. of Jinan, Jinan, China
Abstract :
The differential geometry method is used to study the control problem of the traveling wave solution to the Degasperis-Procesi equation. Based on the differential geometry structure, General Hamiltionian Realization (GHR) is used to derive the strictly dissipative feedback controller of the controlled system. Numerical simulations confirm the results obtained.
Keywords :
differential geometry; feedback; flow control; flow simulation; numerical analysis; shallow water equations; water waves; Degasperis-Procesi equation; differential geometry method; differential geometry structure; dissipative feedback controlled system; generaL Hamiltionian realization method; numerical simulation; shallow water wave equation; traveling wave solution; Equations;
Conference_Titel :
Advanced Computer Control (ICACC), 2011 3rd International Conference on
Conference_Location :
Harbin
Print_ISBN :
978-1-4244-8809-4
Electronic_ISBN :
978-1-4244-8810-0
DOI :
10.1109/ICACC.2011.6016354
