In this paper we develop a variational approach for the norm optimal control problem in an abstract general setting for linear systems. This technique is also related to the classical pseudoinverse for linear and bounded operators between Hilbert spaces. Characterizations for time optimal controls are also given.

中文翻译：

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线性系统的最小时间和最小能量；变分方法

在本文中，我们针对线性系统的抽象通用设置，针对规范最优控制问题开发了一种变分方法。该技术还与希尔伯特空间之间的线性和有界算子的经典伪逆有关。还给出了时间最佳控制的特征。