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Cited by 328

The DOI matches its Crossref record; 13 of the 13 references it cites were found in a registry or an index.

Input-to-State Safety With Control Barrier Functions

Open access
Kolathaya, Shishir, Ames, Aaron D.·2019·IEEE Control Systems Letters

Abstract

This letter presents a new notion of input-to-state safe control barrier functions (ISSf-CBFs), which ensure safety of nonlinear dynamical systems under input disturbances. Similar to how safety conditions are specified in terms of forward invariance of a set, input-to-state safety conditions are specified in terms of forward invariance of a slightly larger set. In this context, invariance of the larger set implies that the states stay either inside or very close to the smaller safe set; and this closeness is bounded by the magnitude of the disturbances. The main contribution of the letter is the methodology used for obtaining a valid ISSf-CBF, given a control barrier function. The associated universal control law will also be provided. Towards the end, we will study unified quadratic programs that combine control Lyapunov functions and ISSf-CBFs in order to obtain a single control law that ensures both safety and stability in systems with input disturbances.

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Metadata

Authors
Kolathaya, S., & Ames, A. D.
Venue
IEEE Control Systems Letters
Published
2019-01
Volume
3
Issue
1
Pages
108-113
ISSN
2475-1456 (ISSN-L)
OpenAlex
W2789826932
Cited by
328
References
13
FWCI
9.94
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Input-to-State Safety With Control Barrier Functions. https://app.cochat.ai/papers/10.1109/lcsys.2018.2853698
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Kolathaya, S., & Ames, A. D. (2019). Input-to-State Safety With Control Barrier Functions. IEEE Control Systems Letters. https://doi.org/10.1109/lcsys.2018.2853698

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

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