比例时滞线性系统的反馈镇定
Feedback Stabilization of Linear Systems with Proportional Delay
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摘要: 研究了比例时滞线性系统的反馈镇定问题.利用标准反馈控制与时滞反馈控制实现系统不稳定平衡点的镇定.构造合适的李亚普诺夫泛函,得出了闭环系统稳定的几个充分条件.通过实例说明了方法的有效性.Abstract: The feedback stabilization problem of linear systems with proportional delays is studied.Standard feedback control and delay feedback control are employed to stabilize the system to an unstable equilibria.Sufficient conditions for stabilization of the closed-loop system are derived by constructing proper Lyapunov functionals.Several examples are given to illustrate the effectiveness of the proposed criterion.