| 单调算子的非线性最优控制 |
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| 引用本文： | 李胜宏. 单调算子的非线性最优控制[J]. 中国科学技术大学学报, 1994, 24(3): 339-344 |
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| 作者姓名： | 李胜宏 |
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| 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．
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| 关 键 词： | 变分不等式，单调算子，最优控制 |
Optimal Control of Nonlinear Monotone Variational Inequalities |
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| Li Shenghong. Optimal Control of Nonlinear Monotone Variational Inequalities[J]. Journal of University of Science and Technology of China, 1994, 24(3): 339-344 |
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| Authors: | Li Shenghong |
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| Affiliation: | Department of Mathematics |
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| Abstract: | 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. |
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| Keywords: | variational Inequality monotone operator optimal control AMS |
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