Unified Predefined-time Stability Conditions of Nonlinear Systems with Lyapunov Analysis
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909156189929472 |
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| author | Xiao, Bing Zhang, Haichao Zhao, Shijie Cao, Lu |
| author_facet | Xiao, Bing Zhang, Haichao Zhao, Shijie Cao, Lu |
| 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2404_01164 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Unified Predefined-time Stability Conditions of Nonlinear Systems with Lyapunov Analysis Xiao, Bing Zhang, Haichao Zhao, Shijie Cao, Lu Systems and Control 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. |
| title | Unified Predefined-time Stability Conditions of Nonlinear Systems with Lyapunov Analysis |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2404.01164 |