Generalized Lyapunov Exponents of Homogeneous ...
Document type :
Communication dans un congrès avec actes
Title :
Generalized Lyapunov Exponents of Homogeneous Systems
Author(s) :
Polyakov, Andrey [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Zhuk, Sergiy [Auteur]
IBM Research - Ireland
Finite-time control and estimation for distributed systems [VALSE]
Zhuk, Sergiy [Auteur]
IBM Research - Ireland
Conference title :
CDC 2019 - 58th IEEE Conference on Decision and Control
City :
Nice
Country :
France
Start date of the conference :
2019-12-11
HAL domain(s) :
Informatique [cs]/Automatique
English abstract : [en]
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 ...
Show more >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.Show less >
Show more >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.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
Collections :
Source :
Files
- https://hal.inria.fr/hal-02285137/document
- Open access
- Access the document
- https://hal.inria.fr/hal-02285137/document
- Open access
- Access the document
- https://hal.inria.fr/hal-02285137/document
- Open access
- Access the document
- document
- Open access
- Access the document
- main.pdf
- Open access
- Access the document