Unified Sufficient Conditions for Predefined-Time Stability of Non-Linear Systems and Its Standard Controller Design
Bing Xiao,
Haichao Zhang,
Shijie Zhao
et al.
Abstract:This paper presents a unified Lyapunov-based predefined-time stability theorem that includes three sufficient conditions. The standard theoretical analysis method for achieving predefined-time stability of non-linear systems using this theorem is provided within the framework of Lyapunov theory. The developed Lyapunov-based theorem facilitates the establishment of equivalence between the existing Lyapunov theorems concerning predefined-time stability. Furthermore, when the presented sufficient conditions are r… Show more
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