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Output-to-State Stability for systems on manifolds with multiple invariant sets
File(s)
Author(s)
Forni, P
Angeli, D
Type
Conference Paper
Abstract
Output-to-State Stability (OSS) is a notion of detectability for nonlinear systems that is formulated in the ISS framework. We generalize the notion of OSS for systems evolving on manifolds and having multiple invariant sets. Building upon a recent extension of the Input-to-State Stability (ISS) theory for this very class of systems [1], the paper provides equivalent characterizations of the OSS property in terms of asymptotic estimates of the state trajectories and, in particular, in terms of existence of Lyapunov-like functions.
Date Issued
2016-12-29
Date Acceptance
2016-12-12
Citation
2016 IEEE 55th Conference on Decision and Control, CDC 2016, 2016, pp.453-458
URI
DOI
ISBN
9781509018376
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Start Page
453
End Page
458
Journal / Book Title
2016 IEEE 55th Conference on Decision and Control, CDC 2016
Copyright Statement
© 2016 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.
Source
2016 IEEE 55th Conference on Decision and Control, CDC 2016
Publication Status
Published
Start Date
2016-12-12
Finish Date
2016-12-14