Characterizations of integral input-to-state stability for systems with multiple invariant sets
File(s)
Accepted version
Author(s)
Forni, Paolo
Angeli, David
Type
Journal Article
Abstract
We extend the classical integral Input-to-State Stability (iISS) theory to systems evolving on complete Riemannian manifolds and admitting multiple disjoint invariant sets, so as to allow a much broader variety of dynamical behaviors of interest. Building upon a recent extension of the Input-to-State (ISS) theory for this same class of systems, we provide characterizations of the iISS concept in terms of dissipation inequalities and integral estimates as well as connections with the Strong iISS notion. Finally, we discuss some examples within the domain of mechanical systems.
Date Issued
2017-08-01
Date Acceptance
2016-11-24
Citation
IEEE Transactions on Automatic Control, 2017, 62 (8), pp.3729-3743
ISSN
0018-9286
Publisher
Institute of Electrical and Electronics Engineers
Start Page
3729
End Page
3743
Journal / Book Title
IEEE Transactions on Automatic Control
Volume
62
Issue
8
Copyright Statement
© 2018 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
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000406395900003&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Technology
Automation & Control Systems
Engineering, Electrical & Electronic
Engineering
Lyapunov methods
manifolds
stability of nonlinear systems
NONLINEAR-SYSTEMS
ISS
IISS
FRAMEWORK
PROPERTY
THEOREM
OUTPUT
Publication Status
Published
Date Publish Online
2016-12-21