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Generalized Lyapunov Exponents of Homogeneous Systems

Andrey Polyakov 1 Sergiy Zhuk 2
1 VALSE - Finite-time control and estimation for distributed systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
Abstract : 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.
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https://hal.inria.fr/hal-02285137
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Submitted on : Thursday, September 12, 2019 - 3:13:57 PM
Last modification on : Friday, December 11, 2020 - 6:44:08 PM
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Andrey Polyakov, Sergiy Zhuk. Generalized Lyapunov Exponents of Homogeneous Systems. CDC 2019 - 58th IEEE Conference on Decision and Control, Dec 2019, Nice, France. ⟨hal-02285137⟩

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