The theoretical analyses prove that the shortest path relative average path can rapid convergence and have no fluctuation.
从定性分析来看，最短路径相对平均路径能够快速收敛，而且波动很小。
The two modes ensure the convergence to the target of the path.
这两种搜索模式保证了路径最终收敛到目标点。
The existence and convergence of the homotopy path are proved, and efficiency of our method is illustrated by the numerical experimentations at last.
我们给出同伦路径的存在性和收敛性证明，并通过数值实验验证新算法的有效性。
The method can improve the efficiency of path planning effectively, and can be applied to reduce the search space of other algorithm of path planning to increase the convergence speed.
该方法可有效提高航路规划效率，缩小其他航路规划算法的搜索空间，加速算法收敛。
The theoretical results showed validity of the path generation and convergence of the path following algorithms developed.
理论结果表明路径生成和跟踪算法的有效性。
The theoretical results showed validity of the path generation and convergence of the path following algorithms developed.
理论结果表明路径生成和跟踪算法的有效性。
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