向量值测度与线性系统最优控制问题的必要条件(英文)

Vector-valued Measure and the Necessary Conditions for the Optimal Control Problems of Linear Systems

英文关键词:optimal control  maximum principle  distributed parameter system  linear system  vector-valued measure.

中文摘要:

      

英文摘要:

      The vector-valued measure defined by the well-posed linear boundary value problems is discussed. The maximum principle of the optimal control problem with non-convex constraint is proved by using the vector-valued measure. Especially, the necessary conditions of the optimal control of elliptic systems is derived without the convexity of the control domain and the cost function.