中文摘要：

为了更准确地描述海洋输油立管结构的动力学特性，文中基于Hamilton原理建立了耦合时变内流和海流的动力学的立管模型，该模型由一组偏微分方程（PDEs）和一组常微分方程构成，具有无限维特点．随后基于该原始无穷维PDEs模型，结合边界控制技术和Lyapunov方法，分别设计了纵向和横向二维边界控制器用以抑制立管振动．之后利用Lyapunov方法对立管系统的稳定性和一致有界性进行了证明，并通过仿真实验验证了文中控制算法的有效性．

英文摘要：

In order to accurately describe the dynamic characteristics of marine risers, a marine riser model cou- pling time-varying internal flow and ocean current dynamics is proposed based on Hamilton principle. This model is described with a set of partial differential equations （PDEs） and a set of ordinary differential equations, and it is infinite-dimensional. Then, based on the proposed model, the boundary controllers in the longitudinal and lateral directions are designed to reduce riser vibrations, respectively by means of the boundary control technique and the Lyapunov method. Consequently, the stability and uniform boundness of the riser system are proved via Lyapunov method. Finally, the effectiveness of the proposed model is verified by simulated experiments.