Mathematical Sciences: Nonsmooth Analysis and Approximation Methods in Optimization and Control

首席研究员将致力于控制理论、最优化、非光滑分析及其应用领域中的几个问题。将发展有效的定性和数值方法来研究和解决非线性优化和控制中的复杂问题。最优控制问题在工程和运营管理的许多领域中作为数学模型是有用的。通过更好地了解它们的结构和性质，所获得的洞察力将导致改进的数值优化算法。

The principal investigator will work on several problems in the areas of control theory, optimaization, nonsmooth analysis, and their applications. Effective qualitative and numerical methods for studying and solving complex problems in nonlinear optimization and control will be developed. Optimal control problems are useful as mathematical models in many areas of engineering and operations management. By better understanding their structure and properties, the gained insight will lead to improved numerical optimaization algorithms.