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<p>The problem of globally exponentially stabilizing a class of high-order lower-triangular systems in presence of time delay existing in the input is investigated. To stabilize that system, a delay-dependent non-smooth state feedback controller is constructed. Globally exponential stabilization for the closed-loop system is achieved under some constraints derived via homogeneous domination method and Lyapunov-Krasovskii functional technology, which is subject to the scaling gain introduced by a change of coordinates and the control input delay. Moreover, the effects from input delay on the stability of high-order lower-triangular systems is analyzed and some simulation results are provided to verify the theoretical developments.</p>

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Globally Exponential Stabilization of High-order Lower-triangular Systems With Time Delay in the Input

  • 期刊论文

  • 发表日期：

    2025年7月14日

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  • Xiaohong Wang,
  • Chao Wu,
  • Qingzhi Wang

摘要

The problem of globally exponentially stabilizing a class of high-order lower-triangular systems in presence of time delay existing in the input is investigated. To stabilize that system, a delay-dependent non-smooth state feedback controller is constructed. Globally exponential stabilization for the closed-loop system is achieved under some constraints derived via homogeneous domination method and Lyapunov-Krasovskii functional technology, which is subject to the scaling gain introduced by a change of coordinates and the control input delay. Moreover, the effects from input delay on the stability of high-order lower-triangular systems is analyzed and some simulation results are provided to verify the theoretical developments.