On stability of second-order nonlinear ...
Document type :
Communication dans un congrès avec actes
Title :
On stability of second-order nonlinear time-delay systems without damping
Author(s) :
Aleksandrov, Alexander [Auteur]
Saint Petersburg University [SPBU]
Efimov, Denis [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Fridman, Emilia [Auteur]
Tel Aviv University [TAU]
Saint Petersburg University [SPBU]
Efimov, Denis [Auteur]

Finite-time control and estimation for distributed systems [VALSE]
Fridman, Emilia [Auteur]
Tel Aviv University [TAU]
Conference title :
CDC 2023 - 62nd IEEE Conference on Decision and Control
City :
Singapore
Country :
Singapour
Start date of the conference :
2023-12-13
HAL domain(s) :
Informatique [cs]/Automatique
English abstract : [en]
For a second-order system with time delays and power nonlinearity of the degree higher than one, which does not contain a velocity-proportional damping term, the conditions of local asymptotic stability of the zero solution ...
Show more >For a second-order system with time delays and power nonlinearity of the degree higher than one, which does not contain a velocity-proportional damping term, the conditions of local asymptotic stability of the zero solution are proposed. The result is based on application of the Lyapunov-Razumikhin approach, and it is illustrated by simulations. Our local stability conditions for nonlinear systems are less restrictive than stability conditions of the corresponding linear models.Show less >
Show more >For a second-order system with time delays and power nonlinearity of the degree higher than one, which does not contain a velocity-proportional damping term, the conditions of local asymptotic stability of the zero solution are proposed. The result is based on application of the Lyapunov-Razumikhin approach, and it is illustrated by simulations. Our local stability conditions for nonlinear systems are less restrictive than stability conditions of the corresponding linear models.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
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