论文标题
稳定性何时意味着非线性系统中无限层的最佳控制存在？
When does stabilizability imply the existence of infinite horizon optimal control in nonlinear systems?
论文作者
论文摘要
本文解决了无限范围最佳控制的存在问题，当时正在控制的系统呈指数稳定或稳定。根据稳定性，稳定性，可检测性和生长条件，确定了无限层最佳控制的非线性控制系统的类别。然后，该结果适用于估计相关的哈密顿系统中稳定流形的存在区域。结果的应用还包括通过几何方法在非线性有限层最佳控制问题中的收费公路属性的分析。
The paper addresses an existence problem for infinite horizon optimal control when the system under control is exponentially stabilizable or stable. Classes of nonlinear control systems for which infinite horizon optimal controls exist are identified in terms of stability, stabilizability, detectability and growth conditions. The result then applies to estimate the existence region of stable manifolds in the associated Hamiltonian systems. Applications of the results also include the analysis for turnpike property in nonlinear finite horizon optimal control problems by a geometric approach.
