The DOI matches its Crossref record.
A characterization of integral input-to-state stability
Abstract
The notion of input-to-state stability (ISS) is now recognized as a central concept in nonlinear systems analysis. It provides a nonlinear generalization of finite gains with respect to supremum norms and also of finite L/sup 2/ gains. It plays a central role in recursive design, coprime factorizations, controllers for nonminimum phase systems, and many other areas. In this paper, a newer notion, that of integral input-to-state stability (iISS), is studied. The notion of iISS generalizes the concept of finite gain when using an integral norm on inputs but supremum norms of states, in that sense generalizing the linear "H/sup 2/" theory. It allows one to quantify sensitivity even in the presence of certain forms of nonlinear resonance. We obtain several necessary and sufficient characterizations of the iISS property, expressed in terms of dissipation inequalities and other alternative and nontrivial characterizations.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cited by
Input-to-State Safety With Control Barrier Functions
Kolathaya, S., & Ames, A. D. (2019) · IEEE Control Systems Letters · doi:10.1109/lcsys.2018.2853698 · Cited by 328
Compensation of state-dependent input delay for nonlinear systems
Bekiaris-Liberis, N., & Krstic, M. (2013) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2012.2208294 · Cited by 229
Metadata
- Authors
- Angeli, D., Sontag, E. D., & Wang, Y.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 2000-06
- Volume
- 45
- Issue
- 6
- Pages
- 1082-1097
- ISSN
- 0018-9286 (ISSN-L)
- OpenAlex
- W2162750481
- Cited by
- 654
- References
- 0
- FWCI
- 37.18
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: A characterization of integral input-to-state stability. https://app.cochat.ai/papers/10.1109/9.863594
- The paper
- Angeli, D., Sontag, E. D., & Wang, Y. (2000). A characterization of integral input-to-state stability. IEEE Transactions on Automatic Control. https://doi.org/10.1109/9.863594
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
