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On Implicit Finite-Time and Fixed-Time ISS Lyapunov Functions

Abstract : This article presents a theoretical framework to study finite-time and fixed-time input-to-state stability of non-linear systems using the implicit Lyapunov function formulation. This approach allows to determine stability, robustness and convergence type of a given system without relying in an explicit Lyapunov function.
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Submitted on : Friday, October 5, 2018 - 10:43:19 AM
Last modification on : Thursday, January 20, 2022 - 4:16:32 PM
Long-term archiving on: : Sunday, January 6, 2019 - 1:34:09 PM


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  • HAL Id : hal-01888526, version 1



Francisco Lopez-Ramirez, Denis Efimov, Andrey Polyakov, Wilfrid Perruquetti. On Implicit Finite-Time and Fixed-Time ISS Lyapunov Functions. CDC 2018 - 57th IEEE Conference on Decision and Control, Dec 2018, Miami Beach, United States. ⟨hal-01888526⟩



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