Title :
Lyapunov function for Levant´s Second Order Differentiator
Author :
Moreno, Jaime A.
Author_Institution :
Electr. y Comput., Univ. Nac. Autonoma de Mexico, Mexico City, Mexico
Abstract :
In this paper we obtain a homogeneous, continuous, quadratic and strict Lyapunov function for Levant´s Second Order Differentiator. Since its derivative is a non quadratic, discontinuous, homogeneous form its negative definiteness is determined using some new inequalities, providing coarser bounds than Young´s inequalities.
Keywords :
Lyapunov methods; Levant second order differentiator; Lyapunov function; Young inequalities; coarser bounds; Convergence; Lyapunov methods; Mercury (metals); Noise; Robustness; Trajectory; Uncertainty;
Conference_Titel :
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location :
Maui, HI
Print_ISBN :
978-1-4673-2065-8
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2012.6426877
