| 向量值测度与线性系统最优控制问题的必要条件 |
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| 引用本文： | 李训经.向量值测度与线性系统最优控制问题的必要条件[J].数学研究及应用,1984,4(4):51-56. |
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| 作者姓名： | 李训经 |
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| 作者单位： | Dept. of Math.，Fudan University，Shanghai，China |
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| 摘 要： | The vector-valued measure defined by the well-posed linear boundary value problems is discussed. The maximum principle of the optimal control problem with non-convex constraintis proved by using the vector-valued measure. Especially, the necessary conditions of the optimal control of elliptic systems is derived without the convexity of the control domain and the cost function. optimal control, maximum principle, distributed parameter system, linear system,vector-valued measure.
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| 收稿时间： | 1982/12/12 0:00:00 |
Vector-valued Measure and the Necessary Conditions for the Optimal Control Problems of Linear Systems |
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| Li Xunjing.Vector-valued Measure and the Necessary Conditions for the Optimal Control Problems of Linear Systems[J].Journal of Mathematical Research with Applications,1984,4(4):51-56. |
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| Authors: | Li Xunjing |
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| Institution: | Dept. of Math., Fudan University, Shanghai, China |
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| Abstract: | The vector-valued measure defined by the well-posed linear boundary value problems is discussed. The maximum principle of the optimal control problem with non-convex constraint is proved by using the vector-valued measure. Especially, the necessary conditions of the optimal control of elliptic systems is derived without the convexity of the control domain and the cost function. |
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| Keywords: | optimal control maximum principle distributed parameter system linear system vector-valued measure |
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