Stability analysis for systems with time-varying delay: Trajectory based approach
Stability analysis for systems with time-varying delay: Trajectory based approach
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DOI：
10.1109/cdc.2015.7402473
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发表时间：
2015-12
期刊：
影响因子：
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通讯作者：
F. Mazenc;Michael A. Malisoff;S. Niculescu
中科院分区：
文献类型：
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作者：
F. Mazenc;Michael A. Malisoff;S. Niculescu
Mazenc和Malisoff最近的工作提供了一种基于概率的方法来证明具有时变时滞的时变系统的稳定性。它使用了一个收缩引理，而不是Lyapunov-Krasovskii或Razumikhin函数。在这里，我们使用他们的引理，和一个李雅普诺夫函数的无时滞系统，提供了一个新的方法来证明稳定的线性连续时间，时变系统的时变有界时滞。对时滞的上界没有任何限制，也不需要时滞的可微性。相反，我们使用上界的积分平均延迟。我们证明了扰动下的输入状态稳定性。
Recent work by Mazenc and Malisoff provided a trajectory-based approach to proving stability of time-varying systems with time-varying delay. It uses a contraction lemma, instead of Lyapunov-Krasovskii or Razumikhin functions. Here, we use their lemma, and a Lyapunov function for an undelayed system, to provide a new method to prove stability of linear continuous-time, time-varying systems with time-varying bounded delays. No constraint on the upper bound of delay is imposed, nor do we need any differentiability of the delay. Instead, we use an upper bound on an integral average of the delay. We prove input-to-state stability under disturbances.