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Generalized Lyapunov Exponents of Homogeneous Systems

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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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Dates and versions

hal-02285137 , version 1 (12-09-2019)

Identifiers

  • HAL Id : hal-02285137 , version 1

Cite

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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