论文标题
半线性控制中的收费公路属性
The turnpike property in semilinear control
论文作者
论文摘要
证明了半线性控制问题的指数收费公路属性。认为状态目标是很小的，而初始基准可以任意。 还可以为大型目标获得收费公路的结果，要求控制控制在任何地方。在这种情况下，我们证明了平均时间进化的最大额定功能的融合。 进行数值模拟。
An exponential turnpike property for a semilinear control problem is proved. The state-target is assumed to be small, whereas the initial datum can be arbitrary. Turnpike results are also obtained for large targets, requiring that the control acts everywhere. In this case, we prove the convergence of the infimum of the averaged time-evolution functional towards the steady one. Numerical simulations are performed.
