| 高原,潘立平.含分布及非线性离散时滞 Volterra 积分系统的近最优控制[J].数学年刊A辑,2012,33(6):643~670 |
| 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 |
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| DOI： |
| 中文关键词: 分布时滞, Volterra积分系统, 近最优控制, 近最优性条件, 算法 |
| 英文关键词:Distributed time delay, Volterra integral system, Near-Optimal
controls, Near-Optimality condition, Algorithm |
| 基金项目:国家自然科学基金(No.10971127) |
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| 中文摘要: |
| 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. |
| 英文摘要: |
| 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. |
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