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• W2569228906 abstract "A unilaterally constrained perturbed double integrator system is studied in this work. The aim is to establish uniform finite time stability of the non-linear dynamics in the presence of impacts due to the constraints on the position variable. A non-smooth transformation is utilized to first transform the system into a variable structure system that can be studied within the framework of a conventional discontinuous paradigm. Then, a finite time stable continuous controller is used and stability of the closed-loop dynamics is proven by identifying a new set of Lyapunov functions. The results enable continuous and discontinuous cases to be unified using one parameter that defines the set of Lyapunov functions for each case." @default.
• W2569228906 created "2017-01-13" @default.
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• W2569228906 date "2017-08-13" @default.
• W2569228906 modified "2023-09-27" @default.
• W2569228906 title "A Unified Lyapunov Function for Finite Time Stabilization of Continuous and Variable Structure Systems with Resets" @default.
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• W2569228906 doi "https://doi.org/10.1007/978-3-319-62896-7_9" @default.
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