On Relaxed Conditions of Integral ISS for ...
Document type :
Communication dans un congrès avec actes
Title :
On Relaxed Conditions of Integral ISS for Multistable Periodic Systems
Author(s) :
Mendoza-Avila, Jesús [Auteur]
Efimov, Denis [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Mercado-Uribe, Angel [Auteur]
Brandenburg University of Technology [Cottbus – Senftenberg] [BTU]
Schiffer, Johannes [Auteur]
Brandenburg University of Technology [Cottbus – Senftenberg] [BTU]
Efimov, Denis [Auteur]

Finite-time control and estimation for distributed systems [VALSE]
Mercado-Uribe, Angel [Auteur]
Brandenburg University of Technology [Cottbus – Senftenberg] [BTU]
Schiffer, Johannes [Auteur]
Brandenburg University of Technology [Cottbus – Senftenberg] [BTU]
Conference title :
Proc. 61th IEEE Conference on Decision and Control (CDC)
City :
Cancún
Country :
Mexique
Start date of the conference :
2022-12-06
HAL domain(s) :
Sciences de l'ingénieur [physics]/Automatique / Robotique
English abstract : [en]
A novel characterization of the integral Inputto-State Stability (iISS) property is introduced for multistable systems whose dynamics are periodic with respect to a part of the state. First, the concepts of iISS-Leonov ...
Show more >A novel characterization of the integral Inputto-State Stability (iISS) property is introduced for multistable systems whose dynamics are periodic with respect to a part of the state. First, the concepts of iISS-Leonov functions and output smooth dissipativity are introduced, then their equivalence to the properties of bounded-energy-bounded-state and global attractiveness of solutions in the absence of disturbances are proven. The proposed approach permits to relax the usual requirements of positive definiteness and periodicity of the iISS-Lyapunov functions. Moreover, the usefulness of the theoretical results is illustrated by a robustness analysis of a nonlinear pendulum with a constant bias input and an unbounded statedependent input coefficient.Show less >
Show more >A novel characterization of the integral Inputto-State Stability (iISS) property is introduced for multistable systems whose dynamics are periodic with respect to a part of the state. First, the concepts of iISS-Leonov functions and output smooth dissipativity are introduced, then their equivalence to the properties of bounded-energy-bounded-state and global attractiveness of solutions in the absence of disturbances are proven. The proposed approach permits to relax the usual requirements of positive definiteness and periodicity of the iISS-Lyapunov functions. Moreover, the usefulness of the theoretical results is illustrated by a robustness analysis of a nonlinear pendulum with a constant bias input and an unbounded statedependent input coefficient.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
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