Sergiy Zhuk, Andrey Polyakov, et al.
IEEE TACON
The paper deals the method of Lyapunov exponents for a class of a generalized homogeneous systems. Homogeneous systems may have some sup-exponential and super-exponential grows. In this case, the method of Lyapunov exponents becomes non-informative, e.g. all Lyapunov exponents may equal to zero but the system is globally uniformly asymptotically stable. In this paper we propose an approach which allows us to analyze a behavior of such homogeneous systems by means of the method of Lyapunov exponents.
Sergiy Zhuk, Andrey Polyakov, et al.
IEEE TACON
Jason Frank, Sergiy Zhuk
CDC 2014
Fearghal O. Donncha, Emanuele Ragnoli, et al.
OCEANS 2012
Tigran Tchrakian, Mykhaylo Zayats, et al.
ICDH 2023