Relaxing the conditions of ISS for multistable ...
Document type :
Communication dans un congrès avec actes
Title :
Relaxing the conditions of ISS for multistable periodic systems
Author(s) :
Efimov, Denis [Auteur]
Non-Asymptotic estimation for online systems [NON-A]
Schiffer, Johannes [Auteur]
University of Leeds
Barabanov, Nikita [Auteur]
University of North Dakota [Grand Forks] [UND]
Ortega, Romeo [Auteur]
Laboratoire des signaux et systèmes [L2S]

Non-Asymptotic estimation for online systems [NON-A]
Schiffer, Johannes [Auteur]
University of Leeds
Barabanov, Nikita [Auteur]
University of North Dakota [Grand Forks] [UND]
Ortega, Romeo [Auteur]
Laboratoire des signaux et systèmes [L2S]
Conference title :
IFAC 2017 - 20th World Congress of the International Federation of Automatic Control
City :
Toulouse
Country :
France
Start date of the conference :
2017-07-10
English keyword(s) :
Input-to-state stability
Periodic system
Multistable system
Periodic system
Multistable system
HAL domain(s) :
Sciences de l'ingénieur [physics]/Automatique / Robotique
English abstract : [en]
The input-to-state stability property of nonlinear dynamical systems with multiple invariant solutions is analyzed under the assumption that the system equations are periodic with respect to certain state variables. It is ...
Show more >The input-to-state stability property of nonlinear dynamical systems with multiple invariant solutions is analyzed under the assumption that the system equations are periodic with respect to certain state variables. It is shown that stability can be concluded via a sign-indefinite function, which explicitly takes the systems' periodicity into account. The presented approach leverages some of the difficulties encountered in the analysis of periodic systems via positive definite Lyapunov functions proposed in Angeli and Efimov (2013, 2015). The new result is established based on the framework of cell structure introduced in Leonov (1974) and illustrated via the global analysis of a nonlinear pendulum with a constant persistent input.Show less >
Show more >The input-to-state stability property of nonlinear dynamical systems with multiple invariant solutions is analyzed under the assumption that the system equations are periodic with respect to certain state variables. It is shown that stability can be concluded via a sign-indefinite function, which explicitly takes the systems' periodicity into account. The presented approach leverages some of the difficulties encountered in the analysis of periodic systems via positive definite Lyapunov functions proposed in Angeli and Efimov (2013, 2015). The new result is established based on the framework of cell structure introduced in Leonov (1974) and illustrated via the global analysis of a nonlinear pendulum with a constant persistent input.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
Collections :
Source :
Files
- https://hal.inria.fr/hal-01508766/document
- Open access
- Access the document
- https://hal.inria.fr/hal-01508766/document
- Open access
- Access the document
- https://hal.inria.fr/hal-01508766/document
- Open access
- Access the document
- https://hal.inria.fr/hal-01508766/document
- Open access
- Access the document
- document
- Open access
- Access the document
- IFAC17_0375_FIp.pdf
- Open access
- Access the document