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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.
Cited literature [31 references]
https://hal.inria.fr/hal-01996519
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
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
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