A relaxed characterization of ISS for ...
Document type :
Article dans une revue scientifique
Title :
A relaxed characterization of ISS for periodic systems with multiple invariant sets
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]
Journal title :
European Journal of Control
Pages :
1-7
Publisher :
Elsevier
Publication date :
2017-12-01
ISSN :
0947-3580
HAL domain(s) :
Sciences de l'ingénieur [physics]/Automatique / Robotique
English abstract : [en]
A necessary and sufficient criterion to establish input-to-state stability (ISS) of nonlinear dynamical systems, the dynamics of which are periodic with respect to certain state variables and which possess multiple invariant ...
Show more >A necessary and sufficient criterion to establish input-to-state stability (ISS) of nonlinear dynamical systems, the dynamics of which are periodic with respect to certain state variables and which possess multiple invariant solutions (equilibria, limit cycles, etc.), is provided. Unlike standard Lyapunov approaches, the condition is relaxed and formulated via a sign-indefinite function with sign-definite derivative, and by taking the system's periodicity explicitly into account. The new result is established by using the framework of cell structure and it complements the ISS theory of multistable dynamics for periodic systems. The efficiency of the proposed approach is illustrated via the global analysis of a nonlinear pendulum with constant persistent input.Show less >
Show more >A necessary and sufficient criterion to establish input-to-state stability (ISS) of nonlinear dynamical systems, the dynamics of which are periodic with respect to certain state variables and which possess multiple invariant solutions (equilibria, limit cycles, etc.), is provided. Unlike standard Lyapunov approaches, the condition is relaxed and formulated via a sign-indefinite function with sign-definite derivative, and by taking the system's periodicity explicitly into account. The new result is established by using the framework of cell structure and it complements the ISS theory of multistable dynamics for periodic systems. The efficiency of the proposed approach is illustrated via the global analysis of a nonlinear pendulum with constant persistent input.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
Collections :
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