Unified Predefined-time Stability Conditions of Nonlinear Systems with Lyapunov Analysis
<|reference_start|>Unified Predefined-time Stability Conditions of Nonlinear Systems with Lyapunov Analysis: This brief gives a set of unified Lyapunov stability conditions to guarantee the predefined-time/finite-time stability of a dynamical systems. The derived Lyapunov theorem for autonomous systems establishes equivalence with existing theorems on predefined-time/finite-time stability. The findings proposed herein develop a nonsingular sliding mode control framework for an Euler-Lagrange system to analyze its stability, and its upper bound for the settling time can be arbitrarily determined a priori through predefined time constant.<|reference_end|>
@article{xiao2024unified,
    title={Unified Predefined-time Stability Conditions of Nonlinear Systems with
  Lyapunov Analysis},
    author={Bing Xiao, Haichao Zhang, Shijie Zhao, and Lu Cao},
    journal={arXiv preprint arXiv:2404.01164},
    year={2024},
    archivePrefix={arXiv},
    eprint={2404.01164},
    primaryClass={eess.SY cs.SY}
}