大型船舶碰撞避免问题的研究*

A PROBLEM OF COLLISION AVOIDANCE BETWEEN SHIPS

中文摘要

      本文以定性和定量微分对策理论为依据，研究了大型船舶之间的碰撞避免问题。通过采用“有限时间局部捕捉区”的概念[1]和“集体覆盖法”[2],发现了一种新性质的曲线——半开关曲线，并得到了危险区和局部危险区。此外，本文还对一类尚未解决的慢船躲快船的碰撞避免问题[3]给出一种解答。这些结果表明，本文所使用的方法是有效的，所得到的两种区域是有实际意义的。

英文摘要

      In this paper, based on the theory of qualitative and quantitative differential games, the problem of collision avoidance between two ships is considered. By using the concept of “partial capture region on finite time interval” in [1] and “set covering method” in [2], a new kind of singular curve, semitransition curse, is found and thereby the danger and partial danger regions are constructed. In addition, a solution is given for the problem where the slower ship is an evader. This case was not solved in [3]. The obtained results show that the method used in this paper is effective and the above two regions are meaningful for practical use.