论文标题
通过cauchy型变异汉密尔顿 - 雅各布 - 伊斯兰族方程
A Second-Order Reachable Sets Computation Scheme via a Cauchy-Type Variational Hamilton-Jacobi-Isaacs Equation
论文作者
论文摘要
由欧拉尔顿 - 雅各布 - 伊萨克斯（HJI）配方的欧拉尔方法的可伸缩性局限性的动机，这些配方在涉及状态或输入约束的问题中提供了最少的限制控制器，我们在最差的障碍下引入了二阶，连续的，可连续的扫描量，以计算出二级型号，以计算出一个符合符合人的符合度的符合性的价值。在整个状态空间中的足够的HJI偏差方程规律性和连续性假设下，我们表明，在最坏情况下的状态反馈控制下，我们可以计算出在规定的验证时间结合的状态集。
Motivated by the scalability limitations of Eulerian methods for variational Hamilton-Jacobi-Isaacs (HJI) formulations that provide a least restrictive controller in problems that involve state or input constraints under a worst-possible disturbance, we introduce a second-order, successive sweep algorithm for computing the zero sublevel sets of a popular reachability value functional. Under sufficient HJI partial differential equation regularity and continuity assumption throughout the state space, we show that with state feedback control under the worst-possible disturbance, we can compute the state set that are reachable within a prescribed verification time bound.
