Smooth Output-to-State Stability for multistable systems on compact manifolds
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Published version
Author(s)
Forni, Paolo
Angeli, David
Type
Journal Article
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 which possess a decomposable invariant set and evolve on compact manifolds. Building upon a recent extension of the ISS theory for this very class of [systems [D. Angeli and D. Efimov, IEEE Trans. Autom. Control 60 (2015) 3242–3256.], 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 smooth Lyapunov-like functions.
Date Issued
2022-05-25
Date Acceptance
2022-03-25
Citation
ESAIM: Control, Optimisation and Calculus of Variations, 2022, 28, pp.1-53
ISSN
1262-3377
Publisher
EDP Sciences
Start Page
1
End Page
53
Journal / Book Title
ESAIM: Control, Optimisation and Calculus of Variations
Volume
28
Copyright Statement
© The authors. Published by EDP Sciences, SMAI 2022. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
License URL
Identifier
https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000799984900001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=a2bf6146997ec60c407a63945d4e92bb
Subjects
Science & Technology
Technology
Physical Sciences
Automation & Control Systems
Mathematics, Applied
Mathematics
Nonlinear stability
detectability
Output-to-State Stability
multistability
systems on manifolds
INPUT-OUTPUT
Publication Status
Published
Article Number
ARTN 31
Date Publish Online
2022-05-25