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arXiv · 2404.01164

Unified Predefined-time Stability Conditions of Nonlinear Systems with Lyapunov Analysis

Bing Xiao·Haichao Zhang·Shijie Zhao·Lu Cao
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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.

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Bing Xiao, Haichao Zhang, Shijie Zhao, Lu Cao. 2024-04-01. Unified Predefined-time Stability Conditions of Nonlinear Systems with Lyapunov Analysis. https://arxiv.org/abs/2404.01164

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