Turnpike properties of optimal relaxed control problems star
Turnpike properties of optimal relaxed control problems star
复制标题
最优松弛控制问题的收费公路性质
DOI：
10.1051/cocv/2018064
复制
发表时间：
2019
期刊：
影响因子：
--
通讯作者：
Wang Weihan
中科院分区：
文献类型：
--
作者：
Lou Hongwei;Wang Weihan
本文考虑了最优松弛控制问题的三种收费公路性质。在一定的凸性和可控性假设下，我们得到了最优解对和伴随函数的一致有界性。在此基础上，分别证明了该模型的整数、均方和指数收费公路性质。
In this paper, three kinds of turnpike properties for optimal relaxed control problems are considered. Under some convexity and controllability assumptions, we obtain the uniform boundedness of the optimal pairs and the adjoint functions. On the basis, we prove the integral turnpike property, the mean square turnpike property and the exponential turnpike property, respectively.