Unconstrained Control Problems with Quadratic Cost
Unconstrained Control Problems with Quadratic Cost
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DOI：
10.1137/0311003
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发表时间：
1973-02
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影响因子：
--
通讯作者：
R. Datko
中科院分区：
文献类型：
--
作者：
R. Datko
本文考虑一类控制问题，其中成本是二次的，动态是线性的，并且控制是无界的。通过计算成本的 Frechet 导数并将其设置为等于零向量来获得最优控制。在线性自治微分差分方程的情况下，找到了在无限区间内优化成本的条件。这些导致了稳定系统的反馈控制。
This paper considers a class of control problems where the cost is quadratic, the dynamics are linear and the controls are unbounded. The optimal control is obtained by computing the Frechet derivative of the cost and setting it equal to the zero vector. In the case of linear autonomous differential-difference equations conditions are found for optimization of the cost over an infinite interval. These lead to feedback controls which stabilize the system.