基于线性互补理论的系泊系统实用稳定性

摘要

为了研究船艇系泊系统的实用稳定性,将系泊系统视为混合系统,基于混合系统理论对混合系统中的线性互补系统的实用稳定性进行研究,重点对李亚普诺夫函数法进行了分析,给出了一种判断线性互补系统实用稳定性的方法.利用线性互补模型对一类系泊系统进行建模,并用给出的方法对该系统的实用稳定性进行了分析,证明了这种方法的可行性.%To study the practical stability of mooring system, the mooring system is seen as the hybrid system. Based on the practical stability of linear complementarity system in the hybrid system studied by the hybrid system theory, the Lyapunov function approach is mainly analyzed. A method determining the practical stability of linear complementarity system is presented. The linear complementarity model of a typical mooring system is constructed, and its practical stability is analyzed. The feasibility of this approach is verified.