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Stabilization of systems with time-varying delay based on complete quadratic Lyapunov-Krasovskii functional

机译:基于完全二次Lyapunov-Krasovskii功能的时变延迟稳定系统

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This paper describes a stabilizing condition based on the complete quadratic Lyapunov-Krasovskii functional for systems with time-varying delay. In the conventional method for deriving the stabilizing condition based on the complete quadratic Lyapunov-Krasovskii functional, only time-invariant delay has been considered. In contrast, the stabilizing condition of the proposed method depends on the maximum value of the time-varying delay, as well as the upper limit of the rate of change of the time-varying delay. Consequently, we can design a controller that considers time-varying delay.
机译:本文介绍了基于具有时变延迟的系统的完整二次Lyapunov-Krasovskii功能的稳定条件。在基于完整的二次Lyapunov-krasovskii功能的传统方法中导出稳定条件,已经考虑了仅时间不变的延迟。相反,所提出的方法的稳定条件取决于时变延迟的最大值,以及时变延迟的变化率的上限。因此,我们可以设计一个考虑时变延迟的控制器。

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