论文标题
在最简单的时间优势问题中,最佳综合与线性状态约束
Optimal synthesis in the simplest time-optimal problem with a linear state constraint
论文作者
论文摘要
我们考虑了在线性状态约束的存在下的经典系统的经典系统的时间 - 最佳问题。通过使用Dubovitskii和Milyutin的最大原理,我们确定了最佳轨迹的完整合成,并定性地分析了相应的Lagrange乘数。
We consider the time-optimal problem for a classical system of "double integrator" under the presence of a linear state constraint. By using the Maximum Principle of Dubovitskii and Milyutin, we determine a complete synthesis of optimal trajectories and qualitatively analyze the corresponding Lagrange multipliers.