His fundamental contributions to stochastic control include establishing a relation between maximum principle and dynamic programming via the viscosity solution theory , and introducing and developing the indefinite stochastic lq control theory 他应用粘性解理论建立了最大值原理与动态规划之间的本质关系,并开创及发展了不定随机lq控制理论。这些都是随机控制论领域中的重大贡献。
On the basis of optimum control solution theory , the dynamic parameter discernment model of concrete gravity dam under the priori restraint conditions has been set up and a restraint variable - dimension method for finding the solutions of such model has been put forward 基于最优控制解的理论,建立了引入先验约束条件的混凝土重力坝动态参数识别模型,提出了求解该模型的约束变尺度方法。