Stability Preservation of Nonlinear Systems With Sampled-Delayed Input
Abstract
We study the stability preservation problem for nonlinear systems under sampled and delayed input. The main results of this paper are twofold: 1) global asymptotic stability preservation (GASP) is possible if the system is globally Lipschitz continuous (GLC) and globally exponentially stabilizable (GES); 2) For a nonlinear system that is not GLC nor GES, semi-GASP is possible if it is globally asymptotically locally exponentially stabilizable (GALES) by smooth feedback.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Existing sampled-data studies typically require the global Lipschitz assumption on the system for handling nonlinearity, necessitating precise knowledge of the nonlinearities.
“However, these studies typically require the global Lipschitz assumption on the system for handling nonlinearity, necessitating precise knowledge of the nonlinearities.”
From Neural Network-Aided Sampled-Data Control for a Class of Nonlinear Systems With Unknown Dynamics (2025) · cites this paper as [10]
Cites
Introduction to Functional Differential Equations
Hale, J. K., & Lunel, S. M. V. (1993) · Applied mathematical sciences · doi:10.1007/978-1-4612-4342-7 · Cited by 8,421 · see citing works
Adaptive control of nonlinearly parameterized systems: the smooth feedback case
Lin, W. T., & Qian, C. (2002) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2002.800773 · Cited by 632 · see citing works
Self-citationAdaptive control of nonlinearly parameterized systems: a nonsmooth feedback framework
Lin, W., & Qian, C. (2002) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2002.1000270 · Cited by 394 · see citing works
Self-citationKarafyllis, I., & Krstić, M. (2011) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2011.2170451 · Cited by 282 · see citing works
Robustness of nonlinear systems with respect to delay and sampling of the controls
Mazenc, F., Malisoff, M., & Dinh, T. N. (2013) · Automatica · doi:10.1016/j.automatica.2013.02.064 · Cited by 104 · see citing works
Pepe, P., & Fridman, E. (2017) · Automatica · doi:10.1016/j.automatica.2017.04.055 · Cited by 68 · see citing works
Reduction Model Approach for Linear Systems With Sampled Delayed Inputs
Mazenc, F., & Normand-Cyrot, D. (2013) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2013.2254193 · Cited by 63 · see citing works
When Is a Nonlinear System Semiglobally Asymptotically Stabilizable by Digital Feedback?
Lin, W. T. (2020) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2019.2958481 · Cited by 60 · see citing works
Self-citationRobustification of sample-and-hold stabilizers for control-affine time-delay systems
Ferdinando, M. D., & Pepe, P. (2017) · Automatica · doi:10.1016/j.automatica.2017.06.029 · Cited by 47 · see citing works
Input Delay Tolerance of Nonlinear Systems Under Smooth Feedback: A Semiglobal Control Framework
Wang, Y., & Lin, W. T. (2020) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2020.3046709 · Cited by 43 · see citing works
Self-citationStabilization of Nonlinear Delay Systems: A Tutorial on Recent Results
Karafyllis, I., Malisoff, M. A., Mazenc, F., & Pepe, P. (2015) · Advances in delays and dynamics · doi:10.1007/978-3-319-18072-4_1 · Cited by 38 · see citing works
On Semi-Global Exponential Stability Under Sampling for Locally Lipschitz Time-Delay Systems
Ferdinando, M. D., Pepe, P., & Gennaro, S. D. (2022) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2022.3152726 · Cited by 37 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
Yu, X., & Lin, W. (2022) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2022.3197558 · Cited by 21 · see citing works
Self-citationNeural Network-Aided Sampled-Data Control for a Class of Nonlinear Systems With Unknown Dynamics
Zhou, N., Yan, J., Xia, Y., Li, T., & Cheng, X. (2025) · IEEE Transactions on Circuits and Systems II: Express Briefs · doi:10.1109/tcsii.2025.3620235
- Authors
- Wang, Y., & Lin, W.
- Affiliations
- Case Western Reserve University (US)
- Venue
- IEEE Control Systems Letters
- Published
- 2022
- Volume
- 6
- Pages
- 2761-2766
- ISSN
- 2475-1456 (ISSN-L)
- OpenAlex
- W4285182048
- Cited by
- 16
- References
- 12
- Citations by year
- 2026: 4 · 2025: 5 · 2024: 5 · 2022: 2
- FWCI
- 1.21
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- Locations
- IEEE Control Systems Letters (publishedVersion)
- Topics
- Physical Sciences › Engineering › Control and Systems Engineering › Stability and Control of Uncertain Systems
- Physical Sciences › Engineering › Control and Systems Engineering › Advanced Control Systems Design
- Physical Sciences › Engineering › Control and Systems Engineering › Control and Stability of Dynamical Systems
- Keywords
- stability preservation, nonlinear systems, sampled-data control, global asymptotic stability, global exponential stabilization, semi-global asymptotic stability
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
