| 受非线性微分包合约束的拉格朗日最优控制(英文) |
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| 引用本文： | 张著洪.受非线性微分包合约束的拉格朗日最优控制(英文)[J].贵州科学,1999(4). |
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| 作者姓名： | 张著洪 |
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| 作者单位： | 贵州大学数学系!贵阳550025 |
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| 摘 要： | 研究受非线性微分包含（含伪单调算子）约束的最优控制存在世．借助于解的连续依赖性和逼近方法，证明了闭环系统解的存在性并获得其解集的紧性性质．解决了拉格朗日型最优控制的存在性。
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| 关 键 词： | 微分包含 集值映射 伪单调算子 紧嵌入 存在性 |
Optimal Control of Systems Governed by Nonlinear Differential Inclusions |
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| Zhang Zhuhong.Optimal Control of Systems Governed by Nonlinear Differential Inclusions[J].Guizhou Science,1999(4). |
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| Authors: | Zhang Zhuhong |
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| Abstract: | We consider an optimal control problem govemed by nonlinear differential inclusions involving pseudomonotone operators. With the help of continuous properties of solutions and an idea of approximation, we prove existence of solutions for closed-loop systems. We examine compact properties of solutons. Futher we obtain the existence of optimal controls for Lagrange type. |
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| Keywords: | Differential inclusion Set-valued analysis Pseudomonotone Compact embedding Existence |
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