Unified Predefined-time Stability Conditions of Nonlinear Systems with Lyapunov Analysis
Systems and Control
2024-04-02 v1 Systems and Control
Abstract
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.
Keywords
Cite
@article{arxiv.2404.01164,
title = {Unified Predefined-time Stability Conditions of Nonlinear Systems with Lyapunov Analysis},
author = {Bing Xiao and Haichao Zhang and Shijie Zhao and Lu Cao},
journal= {arXiv preprint arXiv:2404.01164},
year = {2024}
}