含分布及非线性离散时滞Volterra积分系统的近最优控制

Near-Optimal Controls of Volterra Integral System with Distributed and Discretely Nonlinear Time Delays

研究由关于状态为(仿射)线性的兼含分布及非线性离散时滞Volterra积分方程系统、紧控制域约束和控制与状态分离型目标泛函构成的最优控制问题.证明了近最优控制的必要条件和充分条件,并将之用于求近最优控制的算法设计.

This paper deals with the optimal control problems constituted by the （affinely） linear （on the state functions） Volterra integral system with both distributed and discretely nonlinear time delays, the compact control field constraint and the control-state separated type objective functional. Necessary conditions and sufficient conditions of the near-optimal controls are proved. Then they are applied to the design of an algorithm of getting the near-optimal control functions.