Title
A Consistent Discretisation method for Stable Homogeneous Systems based on Lyapunov Function
11627/562111627/5621
Author
Sánchez Ramírez, Tonámetl
Polyakov, Andrey
Efimov, Denis
Abstract
"In this paper we propose a discretisation scheme for continuous and asymptotically stable homogeneous systems. This method is based on the dynamics of the system projected on a level surface of a homogeneous Lyapunov function. The discretisation method is explicit and preserves the convergence rate of the continuous-time system."
Publication date
2020Publication type
articleDOI
https://doi.org/10.1016/j.ifacol.2020.12.1141Knowledge area
INGENIERÍA Y TECNOLOGÍAPublisher
International Federation of Automatic ControlKeywords
Nonlinear systemsDiscrete-time systems
Homogeneous systems