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Sine-Gordon方程的动态边界反馈镇定

Dynamic Boundary Feedback Stabilization for an Sine-Gordon Equation
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摘要 考虑一端固定,控制输入在另一端的Sine-Gordon方程的动态边界反馈镇定问题.我们给出闭环系统的适定性,并利用乘子方法得到在动态边界反馈控制下闭环系统的多项式衰减率. This paper is concerned with the dynamic boundary stabilization of an Sine-Golden equation with one end fixed and control at another end. The well-posedness of the closed-loop is obtained. Under the dynamic boundary controller, the polynomial decay rate of the system is given.
作者 郭伟 英敏菊
出处 《数学的实践与认识》 CSCD 北大核心 2008年第11期194-200,共7页 Mathematics in Practice and Theory
基金 对外经贸大学科研启动基金(06QD18) 国家自然科学基金(10604007)
关键词 Sine—Gordon方程 动态边界控制 适定性 多项式衰减率 Sine-Gordon equation dynamic boundary control well-posedness polynomial decay rate
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参考文献9

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