| 潘立平.求时滞Volterra积分系统最优控制问题近似解的一个迭代算法[J].数学年刊A辑,2012,33(3):267~290 |
| 求时滞Volterra积分系统最优控制问题近似解的一个迭代算法 |
| An Iteration Algorithm of Approximate Solutions to Optimal Control Problems for Retarded Volterra Integral Systems |
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| DOI： |
| 中文关键词: 时滞Volterra积分系统 近似最优控制 迭代算法 Well-Defined 收敛性 |
| 英文关键词:Retarded Volterra integral system, Approximate optimal control,
Iteration algorithm, Well-Defined, Convergence |
| 基金项目:国家自然科学基金 |
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| 中文摘要: |
| 对一类典型的复杂系统—含多个非线性时滞的Volterra积分系统,给出其控制作用受限(硬约束)最优控制问题近似解的一个迭代算法,证明了该算法是well-defined的,并在一定的条件下证得了算法的收敛性. |
| 英文摘要: |
| In this paper, an iteration algorithm is given for obtaining the approximate
solutions to optimal control problems with (hard) control action constraints for a class of
typical complex systems—Volterra integral systems containing nonlinear time delays. It is
shown that the algorithm is well-defined. The convergence of the algorithm is proved under
certain conditions. |
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