BOUNDARY CONTROL OF MKDV-BURGERS EQUATION
BOUNDARY CONTROL OF MKDV-BURGERS EQUATION作者机构:Nonlinear Scientific Research Center
出 版 物:《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学(英文版))
年 卷 期:2006年第27卷第1期
页 面:109-116页
核心收录:
学科分类:0711[理学-系统科学] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 081101[工学-控制理论与控制工程] 071101[理学-系统理论] 0811[工学-控制科学与工程] 0701[理学-数学]
基 金:Project supported by the National Natural Science Foundation of China(No.10071033) the Natural Science Foundation of Jiangsu Province(No.BK2002003)
主 题:boundary control feedback control law MKdV-Burgers equation
摘 要:The boundary control of MKdV-Burgers equation was considered by feedback control on the domain [0,1]. The existence of the solution of MKdV-Burgers equation with the feedback control law was proved. On the base, priori estimates for the solution was given. At last, the existence of the weak solution of MKdV-Burgers equation was proved and the global-exponential and asymptotic stability of the solution of MKdV-Burgers equation was given.