The DOI matches its Crossref record; 31 of the 31 references it cites were found in a registry or an index.
Adaptive Neural Network‐Based Fixed‐Time Control of Stochastic High‐Order Nonlinear Systems With Unmodeled Dynamics and Multiple Time‐Varying Delays
Abstract
For stochastic nonlinear high‐order systems with unmodeled dynamics together with time‐varying both state and input delays, this paper investigates the fixed‐time tracking control problem for the first time. First, an adaptive neural network‐based controller is designed by integrating the neural network method with adaptive backstepping to solve algebraic loop issues under non‐strict feedback. An improved Lyapunov–Krasovskii function is constructed to compensate for time‐varying state delays, while dynamic and compensation signals are used to handle unmodeled dynamics and input delays, respectively. Then, based on the semi‐global practical fixed‐time stability theory, the boundedness of all signals in the closed‐loop system is proven, demonstrating that the convergence time is independent on system initial values. Finally, simulation examples are given and demonstrate the effectiveness of the devised control scheme.
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In the paper
“10.1016/j.automatica.2024.111866”
Cited work 10.1016/j.automatica.2024.111866 · retracted 2025-08-21 · notice 10.1016/j.automatica.2025.112471 · this paper published 2026-08-03
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1 retracted
Xie, R. (2024) · Automatica · doi:10.1016/j.automatica.2024.111866 · Cited by 14
RetractedNonlinear Feedback Design for Fixed-Time Stabilization of Linear Control Systems
Polyakov, A. (2011) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2011.2179869 · Cited by 5,309
Gaussian networks for direct adaptive control
Sanner, R. M., & Slotine, J.-J. E. (1992) · IEEE Transactions on Neural Networks · doi:10.1109/72.165588 · Cited by 2,240
Forward-Backward Stochastic Differential Equations and their Applications
Ma, J., & Yong, J. (2007) · Lecture notes in mathematics · doi:10.1007/978-3-540-48831-6 · Cited by 711
Finite-time stability and instability of stochastic nonlinear systems
Yin, J., Khoo, S., Man, Z., & Yu, X. (2011) · Automatica · doi:10.1016/j.automatica.2011.08.050 · Cited by 543
Adaptive Fuzzy Practical Fixed-Time Tracking Control of Nonlinear Systems
Chen, M., Wang, H., & Liu, X. (2021) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2019.2959972 · Cited by 405
Fuzzy Adaptive Finite-Time Control Design for Nontriangular Stochastic Nonlinear Systems
Sui, S., Chen, C. L. P., & Tong, S. (2019) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2018.2882167 · Cited by 363
Tong, S., Wang, T., & Li, Y. (2013) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2013.2264939 · Cited by 335
Finite-time stabilization of stochastic nonlinear systems in strict-feedback form
Khoo, S., Yin, J., Man, Z., & Yu, X. (2013) · Automatica · doi:10.1016/j.automatica.2013.01.054 · Cited by 318
Finite-time stability theorem of stochastic nonlinear systems
Chen, W., & Jiao, L. (2010) · Automatica · doi:10.1016/j.automatica.2010.08.009 · Cited by 283
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Metadata
- Authors
- Zhang, X., Li, F., Liu, E., Zhang, A., & Qiu, J.
- Affiliations
- Linyi University (CN)
- Institute of Intelligent Manufacturing Shandong Traffic Technician College Linyi Shandong People's Republic of China
- Corresponding author
- Zhang, Xinghui
- Venue
- Asian Journal of Control
- Publisher
- Wiley
- Published
- 2026-08-03
- ISSN
- 1561-8625 (ISSN-L)
- 1934-6093
- OpenAlex
- W7172303742
- Cited by
- 0
- References
- 31
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- Locations
- Asian Journal of Control (publishedVersion)
- Topics
- Physical Sciences › Engineering › Control and Systems Engineering › Adaptive Control of Nonlinear Systems
- Physical Sciences › Engineering › Control and Systems Engineering › Stability and Control of Uncertain Systems
- Physical Sciences › Engineering › Control and Systems Engineering › Neural Networks Stability and Synchronization
- Keywords
- fixed-time control, nonlinear stochastic systems, high-order nonlinear systems, unmodeled dynamics, time-varying delays, state delay, input delay, adaptive neural network control, adaptive backstepping control, Lyapunov-Krasovskii functional, tracking control
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- CoChat. (2026). Citation check: Adaptive Neural Network‐Based Fixed‐Time Control of Stochastic High‐Order Nonlinear Systems With Unmodeled Dynamics and Multiple Time‐Varying Delays. https://app.cochat.ai/papers/10.1002/asjc.70200
- The paper
- Zhang, X., Li, F., Liu, E., Zhang, A., & Qiu, J. (2026). Adaptive Neural Network‐Based Fixed‐Time Control of Stochastic High‐Order Nonlinear Systems With Unmodeled Dynamics and Multiple Time‐Varying Delays. Asian Journal of Control. https://doi.org/10.1002/asjc.70200
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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.
