论文标题
无限维属性LQ问题的Turnpilke属性
Turnpilke property for infinite-dimensional generalized LQ problem
论文作者
论文摘要
我们根据控制系统的结构特性（例如指数稳定性和可检测性）来推断无限尺寸的通用线性最佳控制问题的指数（积分）收费属性的足够条件。证明依赖于对差分方程向代数对应物的指数收敛的分析，以及在封闭范围测试方面的指数稳定性的必要条件。
We deduce a sufficient condition of the exponential (integral) turnpike property for infinite dimensional generalized linear-quadratic optimal control problems in terms of structural properties of the control system, such as exponential stabilizability and detectability. The proof relies on the analysis of the exponential convergence of solutions to the differential Riccati equations to the algebraic counterpart, and on a necessary condition for exponential stabilizability in terms of a closed range test.
