Characterizations of Input-to-State Stability for systems with multiple invariant sets
File(s)
Accepted version
Author(s)
Angeli, D
Efimov, D
Type
Journal Article
Abstract
We generalize the theory of Input-to-State Stability (ISS) and of its characterizations by means of Lyapunov dissipation inequalities to the study of systems admitting invariant sets, which are not necessarily stable in the sense of Lyapunov but admit a suitable hierarchical decomposition. It is the latter which allows to greatly extend the class of systems to which ISS theory can be applied, allowing in a unified treatment to deal with oscillators in Euclidean coordinates, almost globally asymptotically stable systems on manifolds, systems with multiple equilibria in Rn just to name a few.
Date Issued
2015-12-01
Date Acceptance
2015-03-25
Citation
IEEE Transactions on Automatic Control, 2015, 60 (12), pp.3242-3256
ISSN
0018-9286
Publisher
Institute of Electrical and Electronics Engineers
Start Page
3242
End Page
3256
Journal / Book Title
IEEE Transactions on Automatic Control
Volume
60
Issue
12
Copyright Statement
© 2015 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Identifier
https://ieeexplore.ieee.org/document/7076646
Subjects
Science & Technology
Technology
Automation & Control Systems
Engineering, Electrical & Electronic
Engineering
Input-to-state stability (ISS)
Lyapunov functions
NONLINEAR-SYSTEMS
THEOREM
0102 Applied Mathematics
0906 Electrical and Electronic Engineering
0913 Mechanical Engineering
Industrial Engineering & Automation
Publication Status
Published
Date Publish Online
2015-04-01