The DOI matches its Crossref record; 71 of the 72 references it cites were found in a registry or an index.
Approximation-Based Adaptive Neural Tracking Control of Nonlinear MIMO Unknown Time-Varying Delay Systems With Full State Constraints
Abstract
This paper deals with the tracking control problem for a class of nonlinear multiple input multiple output unknown time-varying delay systems with full state constraints. To overcome the challenges which cause by the appearances of the unknown time-varying delays and full-state constraints simultaneously in the systems, an adaptive control method is presented for such systems for the first time. The appropriate Lyapunov-Krasovskii functions and a separation technique are employed to eliminate the effect of unknown time-varying delays. The barrier Lyapunov functions are employed to prevent the violation of the full state constraints. The singular problems are dealt with by introducing the signal function. Finally, it is proven that the proposed method can both guarantee the good tracking performance of the systems output, all states are remained in the constrained interval and all the closed-loop signals are bounded in the design process based on choosing appropriate design parameters. The practicability of the proposed control technique is demonstrated by a simulation study in this paper.
Overview
Integrity signals
Registry
Cites
Statistics
Verification
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?
In the citing paper
“Traditional methods based on Lyapunov-Krasovskii functionals are generally less effective in managing input delays compared to state delays [25][26][27].”
From Fixed-Time Adaptive Control for Nonstrict-Feedback Nonlinear Systems with Input Delay and Unknown Backlash-Like Hysteresis (2025) · cites this paper as [27]
Citations
Cites
Barrier Lyapunov Functions for the control of output-constrained nonlinear systems
Tee, K. P., Ge, S. S., & Tay, E. H. (2009) · Automatica · doi:10.1016/j.automatica.2008.11.017 · Cited by 2,920
Adaptive Neural Network Control of an Uncertain Robot With Full-State Constraints
He, W., Chen, Y., & Yin, Z. (2015) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2015.2411285 · Cited by 1,279
Adaptive Neural Control for Output Feedback Nonlinear Systems Using a Barrier Lyapunov Function
Ren, B., Ge, S. S., Tee, K. P., & Lee, T. H. (2010) · IEEE Transactions on Neural Networks · doi:10.1109/tnn.2010.2047115 · Cited by 1,088
Control of nonlinear systems with time-varying output constraints
Tee, K. P., Ren, B., & Ge, S. S. (2011) · Automatica · doi:10.1016/j.automatica.2011.08.044 · Cited by 1,065
Adaptive Neural Control of Uncertain MIMO Nonlinear Systems
Ge, S. S., & Wang, C. (2004) · IEEE Transactions on Neural Networks · doi:10.1109/tnn.2004.826130 · Cited by 971
Liu, Y., & Tong, S. (2015) · Automatica · doi:10.1016/j.automatica.2015.10.034 · Cited by 885
Self-citationLiu, Y., & Tong, S. (2016) · Automatica · doi:10.1016/j.automatica.2016.10.011 · Cited by 831
Self-citationChen, M., Ge, S. S., & How, B. V. E. (2010) · IEEE Transactions on Neural Networks · doi:10.1109/tnn.2010.2042611 · Cited by 733
Adaptive Neural Control of Nonlinear Time-Delay Systems With Unknown Virtual Control Coefficients
Ge, S. S., Hong, F., & Lee, T. H. (2004) · IEEE Transactions on Systems Man and Cybernetics Part B (Cybernetics) · doi:10.1109/tsmcb.2003.817055 · Cited by 717
Adaptive Fuzzy Neural Network Control for a Constrained Robot Using Impedance Learning
He, W., & Dong, Y. (2017) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2017.2665581 · Cited by 643
Flagged first, then by citations
1 of the 72 references couldn’t be matched to a known paper.
Cited by
Sorted by citations
Items 101–148 of 148
Neural Network-Based Adaptive Tracking Control for a Class of Nonlinear Singularly Perturbed Systems
Wang, H., Yang, C., & Zhu, S. (2019) · IEEE Access · doi:10.1109/access.2019.2908276 · Cited by 9
Ma, Y., Liu, L., Li, D., & Li, D. (2024) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.7782 · Cited by 8
Self-citationZhu, L., Zhang, L., Qian, C., & Hua, C. (2024) · Journal of the Franklin Institute · doi:10.1016/j.jfranklin.2024.107190 · Cited by 7
Pandian, B. J., & Noel, M. M. (2017) · Chemical Product and Process Modeling · doi:10.1515/cppm-2017-0040 · Cited by 7
Ning, X., Zhang, Y., Wang, Z. X., Yu, D., Guo, H., & Mei, H. (2021) · European Journal of Control · doi:10.1016/j.ejcon.2021.05.001 · Cited by 7
Adaptive fuzzy asymptotic control design for MIMO nonlinear systems with state constraints
Liu, Y., Zeng, B., Zhu, Q., & Wang, L. (2022) · Journal of Control and Decision · doi:10.1080/23307706.2022.2139298 · Cited by 7
Self-citationZhang, S.-W., Ma, L., Li, Q., & Wang, H. (2025) · Journal of Mechanical Science and Technology · doi:10.1007/s12206-025-0236-z · Cited by 6
Time-delay systems: Recent trends and advancements
Deepak, V. D., Arun, N. K., & Shihabudheen, K. V. (2022) · IFAC-PapersOnLine · doi:10.1016/j.ifacol.2022.04.048 · Cited by 6
Sun, Y., Zhao, Q., Zhang, C., & Wu, J. M. (2020) · Circuits Systems and Signal Processing · doi:10.1007/s00034-019-01335-3 · Cited by 6
Bai, Y., Chen, R., Zhao, Y. B., & Wang, Y. (2021) · Chinese Journal of Aeronautics · doi:10.1016/j.cja.2021.06.017 · Cited by 6
Kharrat, M., & Alhazmi, H. (2025) · Neural Processing Letters · doi:10.1007/s11063-025-11749-7 · Cited by 5
“Traditional methods based on Lyapunov-Krasovskii functionals are generally less effective in managing input delays compared to state delays [25–27].”
Lin, C. (2019) · Journal of Intelligent & Fuzzy Systems · doi:10.3233/jifs-181201 · Cited by 5
Neural-network-based adaptive funnel control for servo mechanisms with unknown dead-zone
Wang, S., Na, J., & Ren, X. (2024) · Elsevier eBooks · doi:10.1016/b978-0-44-315574-1.00011-7 · Cited by 5
Li, D. L., Zhang, A., Gao, Y. M., Vai, M. I., Pun, S. H., & Mu, C. (2026) · IEEE Transactions on Automation Science and Engineering · doi:10.1109/tase.2026.3664097 · Cited by 4
Self-citationJia, F., Pan, T., Lu, J., & Li, Y. (2024) · IEEE Transactions on Systems Man and Cybernetics Systems · doi:10.1109/tsmc.2024.3493210 · Cited by 4
Liu, L., Ding, F., & Hayat, T. (2019) · International Journal of Adaptive Control and Signal Processing · doi:10.1002/acs.3007 · Cited by 4
Wang, T., Xu, X., & Tang, X. (2020) · IEEE/CAA Journal of Automatica Sinica · doi:10.1109/jas.2020.1003363 · Cited by 4
Dong, Z., Lv, M., Da, X., & Zhang, Q. (2025) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.7864 · Cited by 3
Zheng, Z., Chen, C., Xie, K., Li, Z., & Xie, S. (2023) · Neural Computing and Applications · doi:10.1007/s00521-023-09215-3 · Cited by 3
Self-citationJamshidi, S., & Mirzaei, M. (2024) · Proceedings of the Institution of Mechanical Engineers Part I Journal of Systems and Control Engineering · doi:10.1177/09596518241263371 · Cited by 3
New strategy to perturbation estimation and constrained control of vehicle suspension system
Sisi, Z. A., Mirzaei, M., & Rafatnia, S. (2025) · Proceedings of the Institution of Mechanical Engineers Part D Journal of Automobile Engineering · doi:10.1177/09544070251324262 · Cited by 3
Chen, Y., Huang, D., & Li, X. (2026) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2026.3661168 · Cited by 2
Zhu, X., Huang, J. H., Ding, W., & Zhang, T. (2022) · International Journal of Adaptive Control and Signal Processing · doi:10.1002/acs.3448 · Cited by 2
Chen, Z., Wang, X., Pang, N., & Shi, Y. (2023) · Entropy · doi:10.3390/e25060900 · Cited by 2
Choi, Y. H., & Yoo, S. J. (2017) · Nonlinear Dynamics · doi:10.1007/s11071-017-3961-8 · Cited by 2
Adaptive Fuzzy Output Feedback Control for Partial State Constrained Nonlinear Pure Feedback Systems
Li-ping, W., Sun, W., & Wu, Y. (2018) · Mathematical Problems in Engineering · doi:10.1155/2018/9624938 · Cited by 2
Lan, J., & Xu, T. (2021) · Complexity · doi:10.1155/2021/5964034 · Cited by 2
Cao, B., Kang, T., & Hai, X. (2025) · Circuits Systems and Signal Processing · doi:10.1007/s00034-025-03252-0 · Cited by 1
Lin, C. (2020) · Journal of Intelligent & Fuzzy Systems · doi:10.3233/jifs-191712 · Cited by 1
RetractedLiu, J., Guo, N., Peng, Y.-X., Li, W., Qiao, J., Gao, X., & Xiong, W. (2024) · Chinese Journal of Chemical Engineering · doi:10.1016/j.cjche.2024.09.011 · Cited by 1
Peng, Z., Qi, R., & Jiang, B. (2019) · Chinese Control and Decision Conference (CCDC) · doi:10.1109/ccdc.2019.8832538 · Cited by 1
Lan, J., & Xu, T. (2021) · Complexity · doi:10.1155/2021/9940257 · Cited by 1
Command Filtered Control for Time-Delay Systems with Asymmetric Full State Constraints
Tang, L., Yang, Y., Yin, Y., & Zou, W. (2021) · China Automation Congress (CAC) · doi:10.1109/cac53003.2021.9728028 · Cited by 1
Occurrence of estrus in an ovariohysterectomized cat.
Putnam, R. W. (1966) · PubMed · Cited by 1
Adaptive point-to-point control system design using friction-based optimal state feedback
Abdelhameed, E. H. (2019) · Ain Shams Engineering Journal · doi:10.1016/j.asej.2018.07.006
Dai, J., Liu, C., & Sun, J. (2018) · Chinese Automation Congress · doi:10.1109/cac.2018.8623255
Zhang, Y., Shi, N., Guo, J., Yang, M., & Ling, Y. (2019) · International Conference on Information Science and Technology · doi:10.1109/icist.2019.8836787
Adaptive NN Constraint Control for Flexible Manipulator System Described by PDE Model
Xu, F., Liu, Y., & Tang, L. D. (2020) · International Conference on Information, Cybernetics, and Computational Social Systems (ICCSS) · doi:10.1109/iccss52145.2020.9336761
Self-citationTumor imaging with indium-labeled biotin.
Goodwin, D. A. (1991) · PubMed
Liu, Y., & Zhu, Q. (2021) · Research Square · doi:10.21203/rs.3.rs-480400/v1
Self-citationApproximation-based Adaptive NN Control for Nonstrict-Feedback Nonlinear Systems with Input Delay
Ma, J., & Wang, J. (2021) · Chinese Control Conference (CCC) · doi:10.23919/ccc52363.2021.9550596
Adaptive Neural Asymptotic Tracking Control of MIMO Stochastic Non-strict-feedback Nonlinear Systems
Su, W., Niu, B., & Zhang, G. (2021) · Lecture notes in electrical engineering · doi:10.1007/978-981-16-5912-6_12
Wijaya, S., Gaol, F. L., Wibowo, A., & Zarlis, M. (2023) · International Conference on Computer Science, Information Technology and Engineering (ICCoSITE) · doi:10.1109/iccosite57641.2023.10127776
Neural-adaptive controller for an isolated power converter
Kumar, R. (2024) · ISA Transactions · doi:10.1016/j.isatra.2024.11.038
Global Prescribed Performance Control of Unknown Time-Delay Feedback Linearizable Systems
Zhang, J., Liu, T., & Li, Z. (2025) · Chinese Control Conference (CCC) · doi:10.23919/ccc64809.2025.11178573
Adaptive Nussbaum Design for Asymptotic Tracking Control with Full-State Constraints
Yang, Y., Liu, G., & Li, Q. (2026) · Springer eBooks · doi:10.1007/978-981-95-4997-9_3
Multi-Variable Constrained Control for High-Order Fully Actuated Nonlinear Systems
Hua, C., Zhang, L., & Ning, P. (2026) · Springer eBooks · doi:10.1007/978-981-95-0962-1_8
Wang, X., Zhang, R., Jiao, Y., Jiao, J., Xu, Z., & Li, J. (2026) · Journal of the Franklin Institute · doi:10.1016/j.jfranklin.2026.108870
Metadata
- Authors
- Li, D.-P., Li, D.-J., Liu, Y.-J., Tong, S., & Chen, C. L. P.
- Affiliations
- Liaoning University of Technology (CN)
- University of Macau (MO)
- Venue
- IEEE Transactions on Cybernetics
- Published
- 2017-10
- Volume
- 47
- Issue
- 10
- Pages
- 3100-3109
- ISSN
- 2168-2267 (ISSN-L)
- 2168-2275
- OpenAlex
- W2625591652
- Cited by
- 148
- References
- 72
- Citations by year
- 2026: 5 · 2025: 6 · 2024: 11 · 2023: 8 · 2022: 12 · 2021: 25 · 2020: 21 · 2019: 26 · 2018: 26 · 2017: 6
- FWCI
- 13.57
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- IEEE Transactions on Cybernetics (publishedVersion)
- PubMed (publishedVersion)
- Funders
- National Natural Science Foundation of China (61603164, 61473139, 61622303)
- Project for Distinguished Professor of Liaoning Province
- Topics
- Physical Sciences › Engineering › Control and Systems Engineering › Stability and Control of Uncertain Systems
- Physical Sciences › Engineering › Control and Systems Engineering › Adaptive Control of Nonlinear Systems
- Physical Sciences › Engineering › Control and Systems Engineering › Neural Networks Stability and Synchronization
- Keywords
- tracking control, MIMO nonlinear systems, unknown time-varying delays, full-state constraints, adaptive neural network control, Lyapunov-Krasovskii functional, separation processes, barrier Lyapunov function, signal function, closed-loop boundedness
- MeSH terms
- Computer Simulation, Signal Processing, Computer-Assisted, Time Factors, Neural Networks, Computer, Nonlinear Dynamics
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