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In this paper, we prove the finite-time stabilization of linear control systems under the condition that a weak observability property is satisfied. The approach combines Lyapunov functions with sliding mode techniques. An explicit nonlinear feedback law that ensures finite-time stabilization is provided. Applications are further provided for an ordinary differential equation (ODE) as well as for the heat and wave equations.

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Finite-Time Stabilization of Linear Systems

  • 会议论文

  • 发表日期：

    2026年

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  • Younes Amaliki,
  • Mohamed Ouzahra

摘要

In this paper, we prove the finite-time stabilization of linear control systems under the condition that a weak observability property is satisfied. The approach combines Lyapunov functions with sliding mode techniques. An explicit nonlinear feedback law that ensures finite-time stabilization is provided. Applications are further provided for an ordinary differential equation (ODE) as well as for the heat and wave equations.