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本文用最大值原理研究了具有复数根的二阶线性系统在控制变量有界的情况下的最优控制规律。给出了不同阻尼比情况下的最优转换边界方程,这样就便于用计算机求解该系统的快速控制问题。
In this paper, the optimal control law of second-order linear systems with complex roots under bounded control variables is studied by the maximum principle. The optimal boundary conditions for the different damping ratios are given, which makes it easy to solve the fast control problem of the system by computer.