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On the construction of Lyapunov functions. I
The author studies vector fields on finite-dimensional smooth manifolds. To construct a Lyapunov function related to an equilibrium of a vector field, he uses the concept of `pilot function' introduced by him in [Autom. Remote Control 61, No. 4, Part 1, 585--594 (2000); translation from Avtom. Telemekh. 2000, No. 4, 51--60 (2000; Zbl 1060.34505)].openaire +2 more sources
Lyapunov functions and global stability for SIR, SIRS, and SIS epidemiological models
Applied Mathematics Letters, 2002Andrei Korobeinikov, G C Wake
exaly
Strict Lyapunov Functions for the Super-Twisting Algorithm
IEEE Transactions on Automatic Control, 2012Jaime A Moreno, Marisol Osório
exaly
Vector norms as Lyapunov functions for linear systems
IEEE Transactions on Automatic Control, 1992J Adamy, H Kiendl
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ISS Lyapunov functions for cascade switched systems and sampled-data control
Automatica, 2019Aneel Tanwani
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Nonpathological Lyapunov functions and discontinuous Carathéodory systems
Automatica, 2006Andrea Bacciotti
exaly