最优化控制理论作为实用的数学模型，已广泛应用于解决动态交通网络、工业生产、航空航天等各类难题。随着人们对自然界认知的深入，众多具有强隐式约束关系和非光滑结构的复杂系统开始涌现。但，强隐式约束关系和非光滑结构导致诸多经典理论和方法不再适用。故此，本项目将聚焦一类受限于强隐式约束关系的非光滑发展系统的最优化控制问题，项目的主要研究内容包括：强隐式约束非光滑发展系统可解性分析；由强隐式约束关系的非光滑发展系统所驱动的非线性最优化控制问题的最优性条件研究。..本项目力图在“如何建立强隐式约束非光滑发展系统解存在性的判别法则？”、“在强隐式约束非光滑发展系统解存在但非唯一的不利条件下，如何揭示最优化问题协同于控制变量的本质特征？”等关键问题的研究中取得实质性进展，从而获得非光滑分析和最优化控制理论方面的一系列创新研究成果。

The theory of optimal control as a powerful and useful mathematical tool has been widely applied to handle various kinds of difficult problems arising from dynamic traffic networks, manufacturing production, aerospace and so forth. Along with the increase of understanding of the people to the nature, the sorts of complicated systems, which involve implicit constraints and nonsmooth frameworks, have emerged. Such kinds of problems result in the invalidity of classical theory and methods. Therefore, the research project is devoted to the systematic investigation for a class of optimal control problems driven by nonsmooth evolutionary systems with implicit constraints. The primary research contents of this project contains the solvability of nonsmooth implicit evolutionary system (NIES, for short), and the optimility conditions for the nonlinear optimal control problem governed by (NIES)...In this project we aim to make an important improvement in the research on the following key issues: “how to establish the criteria of existence of solutions to (NIES)?" and “how to reveal the essential characteristics of the optimal control problem associated with the control variables, under the disadvantage that (NIES) has multiple solutions?", etc. A series of innovative research results with respect to theory of optimal control and nonsmooth analysis is obtained.