Output feedback compensation to state and measurement delays for a first-order hyperbolic PIDE with recycle
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?
Qi et al. addressed the challenge of state delay imposed by a recycle stream in a system modelled by interconnected first-order hyperbolic partial integro differential equations (PIDEs), introducing a transport PDE to account for the in-domain recycle delay.
“In another attempt, Qi et al. addressed the challenge of state delay imposed by a recycle stream in a system modelled by interconnected first-order hyperbolic partial integro differential equations (PIDEs), introducing a transport PDE to account for the in-domain recycle delay.[23]”
From Optimal control of axial dispersion tubular reactors with recycle: Addressing state‐delay through transport <scp>PDEs</scp> (2025) · cites this paper as [23]
The diffusion term was not addressed in Qi et al., leaving a gap in the literature regarding diffusion-convection-reaction systems with a recycle stream imposing state delay.
“However, the diffusion term was not addressed, leaving a gap in the literature regarding diffusion-convection-reaction systems with a recycle stream imposing state delay.”
From Optimal control of axial dispersion tubular reactors with recycle: Addressing state‐delay through transport <scp>PDEs</scp> (2025) · cites this paper as [23]
Cites
Krstić, M., & Smyshlyaev, A. (2008) · Systems & Control Letters · doi:10.1016/j.sysconle.2008.02.005 · Cited by 796 · see citing works
44th IEEE Conference on Decision and Control and European Control Conference
(2011) · IEEE Control Systems · doi:10.1109/mcs.2011.942938 · Cited by 415 · see citing works
Meglio, F. D., Vázquez, R., & Krstić, M. (2013) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2013.2274723 · Cited by 319 · see citing works
Control of Homodirectional and General Heterodirectional Linear Coupled Hyperbolic PDEs
Hu, L., Meglio, F. D., Vázquez, R., & Krstić, M. (2015) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2015.2512847 · Cited by 319 · see citing works
Boundary feedback control in networks of open channels
de Halleux, J., Prieur, C., Coron, J., et al. (2003) · Automatica · doi:10.1016/s0005-1098(03)00109-2 · Cited by 317 · see citing works
Dissipative Boundary Conditions for One-Dimensional Nonlinear Hyperbolic Systems
Coron, J., Bastin, G. L., & d’Andréa-Novel, B. (2008) · SIAM Journal on Control and Optimization · doi:10.1137/070706847 · Cited by 258 · see citing works
Traffic congestion control for Aw–Rascle–Zhang model
Yu, H., & Krstić, M. (2018) · Automatica · doi:10.1016/j.automatica.2018.10.040 · Cited by 148 · see citing works
Adaptive output-feedback stabilization of non-local hyperbolic PDEs
Bernard, P., & Krstić, M. (2014) · Automatica · doi:10.1016/j.automatica.2014.09.001 · Cited by 139 · see citing works
Leak Detection, Size Estimation and Localization in Pipe Flows
Aamo, O. M. (2015) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2015.2434031 · Cited by 115 · see citing works
Adaptive Control of Hyperbolic PDEs
Anfinsen, H., & Aamo, O. M. (2019) · Communications and control engineering/Communications and control engineering series · doi:10.1007/978-3-030-05879-1 · Cited by 113 · see citing works
Backstepping-Forwarding Control and Observation for Hyperbolic PDEs With Fredholm Integrals
Argomedo, F. B., & Krstić, M. (2015) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2015.2398882 · Cited by 107 · see citing works
An Adaptive Observer Design for $n+1$ Coupled Linear Hyperbolic PDEs Based on Swapping
Anfinsen, H., Diagne, M. L., Aamo, O. M., & Krstić, M. (2016) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2016.2530624 · Cited by 85 · see citing works
Output regulation for a class of linear boundary controlled first-order hyperbolic PIDE systems
Xu, X., & Dubljevic, S. S. (2017) · Automatica · doi:10.1016/j.automatica.2017.07.036 · Cited by 60 · see citing works
Self-citationDynamics of a tubular reactor with recycle: Part I. Stability of the steady state
Reilly, M. J., & Schmitz, R. A. (1966) · AIChE Journal · doi:10.1002/aic.690120128 · Cited by 50 · see citing works
Anfinsen, H., & Aamo, O. M. (2017) · Systems & Control Letters · doi:10.1016/j.sysconle.2017.03.008 · Cited by 48 · see citing works
Backstepping Design of Robust State Feedback Regulators for Linear $2 \times 2$ Hyperbolic Systems
Deutscher, J. (2016) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2016.2632423 · Cited by 47 · see citing works
Auriol, J. (2020) · Automatica · doi:10.1016/j.automatica.2020.108964 · Cited by 46 · see citing works
Luss, D., & Amundson, N. R. (1967) · AIChE Journal · doi:10.1002/aic.690130218 · Cited by 43 · see citing works
Estimation of boundary parameters in general heterodirectional linear hyperbolic systems
Anfinsen, H., Diagne, M., Aamo, O. M., et al. (2017) · Automatica · doi:10.1016/j.automatica.2017.01.015 · Cited by 41 · see citing works
Exponential stability of a mono-tubular heat exchanger equation with output feedback
Sano, H. (2003) · Systems & Control Letters · doi:10.1016/s0167-6911(03)00193-2 · Cited by 40 · see citing works
Chaotic dynamics in homogeneous tubular reactors with recycle
Jacobsen, E. W., & Berezowski, M. (1998) · Chemical Engineering Science · doi:10.1016/s0009-2509(98)00177-8 · Cited by 38 · see citing works
Xu, X., & Dubljevic, S. S. (2017) · European Journal of Control · doi:10.1016/j.ejcon.2017.11.004 · Cited by 14 · see citing works
Self-citationBoundary stabilization of first-order hyperbolic equations with input delay
Sano, H., & Wakaiki, M. (2019) · Japan Journal of Industrial and Applied Mathematics · doi:10.1007/s13160-019-00346-6 · Cited by 8 · see citing works
Oh, S. H., & Schmitz, R. A. (1974) · Chemical Engineering Communications · doi:10.1080/00986447408960431 · Cited by 6 · see citing works
Control of systems on spatial domains with moving boundaries: 3D printing and traffic
Krstić, M. (2019) · Facta universitatis - series Electronics and Energetics · doi:10.2298/fuee1904503k · Cited by 4 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
Delay-Adaptive Boundary Control of Coupled Hyperbolic PDE-ODE Cascade Systems
Wang, J., & Diagne, M. (2024) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2024.3399629 · Cited by 17 · see citing works
“In the same spirit, [45] proposed a distributed input delay compensation for traffic systems governed by coupled hyperbolic PDEs (see [43] as well).”
Moadeli, B., Cassol, G. O., & Dubljevic, S. (2025) · The Canadian Journal of Chemical Engineering · doi:10.1002/cjce.25629 · Cited by 4 · see citing works
Self-citation
- Authors
- Qi, J., Dubljevic, S., & Kong, W.
- Affiliations
- Donghua University (CN)
- University of Alberta (CA)
- Corresponding author
- Dubljevic, Stevan
- Venue
- Automatica
- Publisher
- Elsevier BV
- Published
- 2021-06
- Volume
- 128
- Pages
- 109565
- ISSN
- 0005-1098 (ISSN-L)
- OpenAlex
- W3136371095
- Cited by
- 17
- References
- 25
- Citations by year
- 2026: 1 · 2025: 6 · 2024: 4 · 2023: 2 · 2022: 3 · 2021: 1
- FWCI
- 1.11
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- Locations
- Automatica (publishedVersion)
- Funders
- China Scholarship Council
- National Natural Science Foundation of China
- Northeastern University State Key Laboratory of Synthetical Automation for Process Industries
- Topics
- Physical Sciences › Engineering › Control and Systems Engineering › Stability and Controllability of Differential Equations
- Physical Sciences › Engineering › Control and Systems Engineering › Stability and Control of Uncertain Systems
- Physical Sciences › Mathematics › Applied Mathematics › Differential Equations and Boundary Problems
- Keywords
- output feedback control, state delay, boundary control, finite-time stability, nonlocal coupling
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
