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本文研究了一类柔性臂机器人的控制问题，且柔性臂的弯曲振动与扭转振动的耦合作用表现在边界方程中。本文运用算子谱理论、算子半群理论等，得到系统的主算子生成的C0-半群的具体表示式，并证明了半群的解析性、非紧性及非一致指数稳定性。
In this paper, the control problem of a flexible arm robot is studied. The coupling between flexural vibration and torsional vibration of flexible arm is shown in the boundary equation. In this paper, operator spectrum theory and operator semigroup theory are used to obtain the concrete expressions of C0-semigroups generated by the principal operators of the system, and the analytical, noncompact and inconsistent exponential stability of semigroups is proved.