HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Journal articles

On homogeneity of discrete-time systems: stability and convergence rates

Abstract : A new definition of homogeneity for discrete-time systems is introduced. As in the continuous-time case, the property can be verified algebraically in the transition map of the system, and it implies that a dilation of the initial conditions leads to a scaling of the trajectory. Stability properties and convergence rates of the system's solutions can be established by considering only the homogeneity degree. The existence of homogeneous Lyapunov and Lyapunov-like functions is proven.
Document type :
Journal articles
Complete list of metadata

Cited literature [31 references]  Display  Hide  Download

Contributor : Denis Efimov Connect in order to contact the contributor
Submitted on : Monday, January 28, 2019 - 2:30:50 PM
Last modification on : Thursday, March 24, 2022 - 3:42:14 AM


Files produced by the author(s)



Tonametl Sanchez, Denis Efimov, Andrey Polyakov, Jaime Moreno, Wilfrid Perruquetti. On homogeneity of discrete-time systems: stability and convergence rates. International Journal of Robust and Nonlinear Control, Wiley, 2019, 29 (8), pp.2406-2421. ⟨10.1002/rnc.4497⟩. ⟨hal-01996519⟩



Record views


Files downloads