Lyapunov function - Open Access .click

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1999
The main objective of control is to modify the behavior of a dynamical system, typically with the purpose of regulating certain variables or of tracking desired signals. Often, either stability of the closed-loop system is an explicit requirement, or else the problem can be recast in a form that involves stabilization (e.g., of an error signal).
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Using Lyapunov Functions to Construct Lyapunov Functionals for Delay Differential Equations

SIAM Journal on Applied Dynamical Systems, 2015
Given that a Lyapunov function is known for a particular system, we outline an approach for determining terms in the system that can be replaced by similar terms that include delay, without changing the global stability. The approach is based on adding integral terms to the original Lyapunov function so that the new Lyapunov derivative is still ...
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Nondecreasing Lyapunov functions

2014
We propose the notion of nondecreasing Lyapunov functions which can be used to prove stability or other properties of the system in question. This notion is in particular useful in studying switched or hybrid systems. We illustrate the concept by a general construction of such a nondecreasing Lyapunov function for a class of planar hybrid systems.
Defoort, Michael, Djemai, Mohamed, Trenn, Stephan +2 more
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Vector Lyapunov Functions

Journal of the Society for Industrial and Applied Mathematics Series A Control, 1962
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Lyapunov functions

2023
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Lyapunov Functions

2017
Xiaoying Han, Peter Kloeden
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Lyapunov functions

2011
Peter Kloeden, Martin Rasmussen
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Lyapunov Functions

1987
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Strict Lyapunov Functions for the Super-Twisting Algorithm

IEEE Transactions on Automatic Control, 2012
Jaime A Moreno, Marisol Osorio
exaly