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Bibliographic Details
Main Authors: Xiao, Bing, Zhang, Haichao, Zhao, Shijie, Cao, Lu
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2404.01164
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Table of Contents:
  • 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.