
In order to determine if a given mooring system is globally asymptotically stable, the mooring system is analyzed based on the hybrid system theory. The stability of linear complementarity system is investigated by using the common Lyapunov function approach. A method to find the common Lyapunov function is presented. The linear complementarity model of a typical mooring system is constructed, and its asymptotic stability is verified by the common Lyapunov function approach. The results show that the linear complementarity model is suitable to describe the mooring systems, and the method proposed in the paper is feasible to analyze the stability of a given system. KeywordsMooring system, Hybrid system, Stability, Linear complementarity system, Common Lyapunov function approach
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