BOUNDARY CONTROL OF MKDV-BURGERS EQUATION

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...

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Bibliographic Details
Published in:Applied mathematics and mechanics 2006, Vol.27 (1), p.109-116
Main Author: 田立新 赵志峰 王景峰
Format: Article
Language:English
Subjects:
Asymptotic properties
Boundary control
Estimates
Feedback control
Law
Mathematical analysis
MKdV-Burgers方程
Stability
反馈控制规律
渐近稳定性
边界控制
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Summary: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.
ISSN:0253-4827
1573-2754
DOI:10.1007/s10483-006-0114-z