摘要
讨论状态空间变量满足非线性单调变分不等式的非线性最优控制问题解存在的充分条件和必要条件．特别是，得到了非线性单调变分不等式解存在的充分必要条件，并证明了控制变量为向量函数的最优控制问题解的存在性．
Nonlinear optimal control problems are considered in this paper, in which the system is governed by a nonlinear monotone variational inequality. The existence is obtained of the solutions of problems and a necessary and various sufficient conditions are given.In particular, we a necessary and sufficient condition is obtained for the existence of solution for nonlinear monotone V.I.Also,the existence of solution for the optimal control problems is shown, in which the control variables are the vector value functions.
基金
中国博士后基金
关键词
变分不等式
单调算子
最优控制
variational Inequality,monotone operator, optimal control AMS
