The DOI matches its Crossref record; 47 of the 47 references it cites were found in a registry or an index.
Adaptive neural control for non-strict-feedback nonlinear systems with input delay
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
“The observation that the design of nonlinear systems in nonstrict-feedback form that incorporates input delay and hysteresis similar to backlash is still an unresolved difficulty in the previously discussed outcomes is what inspired this research.”
From Fixed-Time Adaptive Control for Nonstrict-Feedback Nonlinear Systems with Input Delay and Unknown Backlash-Like Hysteresis (2025) · cites this paper as [28]
In the citing paper
“The presence of input delays can potentially degrade system performance or lead to instability [28].”
From Fixed-Time Adaptive Control for Nonstrict-Feedback Nonlinear Systems with Input Delay and Unknown Backlash-Like Hysteresis (2025) · cites this paper as [28]
In the citing paper
“To address this challenge, radial basis function neural networks with Gaussian function as an activation functions satisfying 0 < P T i (•)P i (•) ≤ N have been implemented to manage such complexities [28,47,49].”
From Fixed-Time Adaptive Control for Nonstrict-Feedback Nonlinear Systems with Input Delay and Unknown Backlash-Like Hysteresis (2025) · cites this paper as [28]
Citations
Cites
Fuzzy basis functions, universal approximation, and orthogonal least-squares learning
Wang, L.-X., & Mendel, J. M. (1992) · IEEE Transactions on Neural Networks · doi:10.1109/72.159070 · Cited by 2,804
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
Cooperative control of a nonuniform gantry crane with constrained tension
He, W., & Ge, S. S. (2016) · Automatica · doi:10.1016/j.automatica.2015.12.026 · Cited by 550
Tong, S., Zhang, L., & Li, Y. (2015) · IEEE Transactions on Systems Man and Cybernetics Systems · doi:10.1109/tsmc.2015.2426131 · Cited by 541
Liu, Y., Li, J., Tong, S., & Chen, C. L. P. (2016) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2015.2508926 · Cited by 517
Zhang, T., Xia, M., & Yi, Y. (2017) · Automatica · doi:10.1016/j.automatica.2017.03.033 · Cited by 471
Tong, S., & Li, Y. (2011) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2011.2171189 · Cited by 451
Adaptive Fuzzy Control of a Class of Nonlinear Systems by Fuzzy Approximation Approach
Chen, B., Liu, X. P., Ge, S. S., & Lin, C. (2012) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2012.2190048 · Cited by 428
Adaptive Neural Fault-Tolerant Control of a 3-DOF Model Helicopter System
Chen, M., Shi, P. J., & Lim, C. (2015) · IEEE Transactions on Systems Man and Cybernetics Systems · doi:10.1109/tsmc.2015.2426140 · Cited by 421
Li, Y., Tong, S., & Li, T. (2015) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2015.2486811 · Cited by 403
Cited by
Sorted by citations
BAS-ADAM: an ADAM based approach to improve the performance of beetle antennae search optimizer
Khan, A. H., Cao, X., Li, S., Katsikis, V. N., & Liao, L. (2020) · IEEE/CAA Journal of Automatica Sinica · doi:10.1109/jas.2020.1003048 · Cited by 248
Cui, G., Yu, J., & Shi, P. J. (2020) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2020.3048518 · Cited by 230
Fixed-Time Fuzzy Control for a Class of Nonlinear Systems
Sun, Y., Wang, F., Liu, Z., Zhang, Y., & Chen, C. L. P. (2020) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2020.3018695 · Cited by 197
Output feedback backstepping control of hydraulic actuators with valve dynamics compensation
Deng, W., Yao, J., Wang, Y., Yang, X., & Chen, J. (2021) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2021.107769 · Cited by 113
Self-citationTao, F., Zhu, L., Fu, Z., Si, P., & Sun, L. (2020) · IEEE Access · doi:10.1109/access.2020.3023470 · Cited by 85
Adaptive Practical Fixed-Time Tracking Control With Prescribed Boundary Constraints
Chen, M., Wang, H., & Liu, X. (2021) · IEEE Transactions on Circuits and Systems I Regular Papers · doi:10.1109/tcsi.2021.3051076 · Cited by 80
Self-citationFinite-time prescribed performance adaptive fuzzy control for unknown nonlinear systems
Zhou, T., Liu, C., Liu, X., Wang, H., & Zhou, Y. (2020) · Fuzzy Sets and Systems · doi:10.1016/j.fss.2020.03.010 · Cited by 64
Self-citationA deep reinforcement learning control approach for high-performance aircraft
MARCO, A. D., D’Onza, P. M., & Manfredi, S. (2023) · Nonlinear Dynamics · doi:10.1007/s11071-023-08725-y · Cited by 65
“that combine artificial intelligence and automatic control methodologies such as adaptive neural control [3] and fuzzy control [4].”
BackgroundAdaptive Finite-Time Control Scheme for Teleoperation With Time-Varying Delay and Uncertainties
Zhang, H., Song, A., Li, H., Chen, D., & Fan, L. (2020) · IEEE Transactions on Systems Man and Cybernetics Systems · doi:10.1109/tsmc.2020.3032295 · Cited by 61
“In recent years, the adaptive finite-time control-based fuzzy logic system and neural network are studied and employ to deal with the problems of nonsmooth nonlinear systems [34], uncertain non-linear models, input delay [35], unknown backlash-like [36], and odd rational numbers powers system [37].”
BackgroundBi, W., & Wang, T. (2020) · IEEE Transactions on Systems Man and Cybernetics Systems · doi:10.1109/tsmc.2020.2997703 · Cited by 57
“Chen et al. [21] investigated fuzzy adaptive control problems for MIMO nonlinear nonstrict feedback systems, and Wang et al. [22] developed adaptive NN control for non-linear nonstrict feedback systems.”
BackgroundYao, X., Liu, X., & Zhong, S. (2020) · Neurocomputing · doi:10.1016/j.neucom.2020.08.057 · Cited by 55
Liu, C., Liu, X., Wang, H., Zhou, Y., & Lu, S. (2020) · Information Sciences · doi:10.1016/j.ins.2020.04.029 · Cited by 50
Self-citationFinite‐time formation control and obstacle avoidance of multi‐agent system with application
Shou, Y., Xu, B., Lu, H., Zhang, A., & Mei, T. (2021) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.5641 · Cited by 49
“Considering the nonlinear dynamics and uncertainty of MAS, a variety of control technologies have been extensively studied, such as backstepping control, 12 nonlinear adaptive control, 13 robust control, 14 intelligent control, 15 and so forth.”
BackgroundBai, W., & Wang, H. (2020) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.5018 · Cited by 48
“The following inferences are derived from (14): (1) it is a smooth and strictly increasing function; (2) T(ε) ∈ (−1, 1); (3) limε→+∞T(ε) = 1 and limε→−∞T(ε) = −1.”
BackgroundInfluentialSelf-citationHomayoun, B., Arefi, M. M., & Vafamand, N. (2020) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.4933 · Cited by 44
“Substituting (35)-(39) into (34), it is continued as. where Δ = c 𝜆 min ( p ) − 7 4 − 3 2 ‖ p ‖ 83 − 3 n √ n ‖ p ‖ 4 and The RBF neural network is utilized to approximate the function f 1 by Substituting (41) into (40) provides Using Young's inequality and Lemma 2, one concludes (44) (45) Substituting (43)-(47) into (…”
BackgroundInfluentialCui, G., Yang, W., & Yu, J. (2020) · Information Sciences · doi:10.1016/j.ins.2020.08.024 · Cited by 42
A new adaptive neural control scheme for hypersonic vehicle with actuators multiple constraints
Luo, C., Lei, H., Li, J., & Zhou, C. (2020) · Nonlinear Dynamics · doi:10.1007/s11071-020-05707-2 · Cited by 41
Wei, F., Xu, N., Huang, S., & Cao, Y. (2024) · Transactions of the Institute of Measurement and Control · doi:10.1177/01423312241261084 · Cited by 39
“According to the inequalities equations (25), (33), (41), and (47) in this paper, we use NNs to approximate the unknown nonlinear function, and this processing approach can also be reflected in Zhao and Chen (2022) and Wang et al. (2020).”
Zhou, Y., Wang, X., & Xu, R. L. (2021) · Neural Networks · doi:10.1016/j.neunet.2021.12.006 · Cited by 36
Han, Y. (2021) · Nonlinear Dynamics · doi:10.1007/s11071-021-06843-z · Cited by 36
Homayoun, B., Arefi, M. M., Vafamand, N., & Yin, S. (2020) · Journal of the Franklin Institute · doi:10.1016/j.jfranklin.2020.04.042 · Cited by 35
Zhai, J., Wang, H., Tao, J., & He, Z. (2022) · Nonlinear Dynamics · doi:10.1007/s11071-022-07913-6 · Cited by 34
“Remark 4 Compared with the existing results [50–55, 63,70–72] , which only work on the nonlinear system with small input delay or ignoring input delay for finite time control, the proposed scheme in this paper can tackle the problem of finite time control for non-strict feedback uncertain nonlinear…”
MethodResultSelf-citationMohammed, O. A. A., Peng, L., Hamid, G. H. A., Ishag, A. M., & Abdalla, M. A. A. (2023) · Machines · doi:10.3390/machines11100944 · Cited by 32
Liu, S., Zhao, N., Zhang, L., & Xu, N. (2024) · Asian Journal of Control · doi:10.1002/asjc.3528 · Cited by 32
“5 in [38]. greatly in the first 10 s due to the inevitable chattering phenomenon caused by adopting HSMC.”
InfluentialSelf-citationHomayoun, B., Arefi, M. M., Vafamand, N., & Yin, S. (2020) · Journal of the Franklin Institute · doi:10.1016/j.jfranklin.2020.10.020 · Cited by 32
Li, S., Xiang, Z., & Zhang, J. (2020) · Nonlinear Analysis Hybrid Systems · doi:10.1016/j.nahs.2020.100939 · Cited by 31
Shu, F., & Zhai, J. (2021) · Information Sciences · doi:10.1016/j.ins.2021.04.020 · Cited by 31
Stability of nonlinear variable-time impulsive differential systems with delayed impulses
He, Z., Li, C., Cao, Z., & Li, C. (2020) · Nonlinear Analysis Hybrid Systems · doi:10.1016/j.nahs.2020.100970 · Cited by 30
Aslam, M. S., Bilal, H., Chang, W.-J., Yahya, A., Badruddin, I. A., Kamangar, S., & Hussien, M. (2024) · Complex & Intelligent Systems · doi:10.1007/s40747-024-01544-7 · Cited by 29
Kharrat, M. (2024) · Nonlinear Dynamics · doi:10.1007/s11071-024-09749-8 · Cited by 29
“An adaptive control approach has been reported using neural network approximation for nonlinear systems with a nonstrict-feedback structure [18].”
Trajectory tracking control for quadrotor unmanned aerial vehicle with input delay and disturbances
Li, S., Duan, N., & Min, H. (2023) · Asian Journal of Control · doi:10.1002/asjc.3192 · Cited by 28
Niu, Y., Yang, Y. H., Niu, B., Zhao, X., Zhai, L., & Zhang, B. (2023) · IEEE Transactions on Automation Science and Engineering · doi:10.1109/tase.2023.3324389 · Cited by 27
“(2) Different from the works [56], [57] which handled the known delays, our work deals with the unknown delays.”
BackgroundMethodFuzzy finite-time consensus control for uncertain nonlinear multi-agent systems with input delay
Yan, Y., Li, T., Yang, H. C., Wang, J., & Chen, C. L. P. (2023) · Information Sciences · doi:10.1016/j.ins.2023.02.082 · Cited by 26
Fixed-time tracking control for high-order nonlinear systems with unknown time-varying input delay
Zhai, J., Wang, H., & He, Z. (2023) · Applied Mathematics and Computation · doi:10.1016/j.amc.2023.128027 · Cited by 25
Self-citationYao, Y., Tan, J., Yao, Y., Zhang, X., & Chen, P. (2023) · Neurocomputing · doi:10.1016/j.neucom.2023.127200 · Cited by 24
Yin, Z., Jiang, X., Tang, L., & Liu, L. (2020) · Neurocomputing · doi:10.1016/j.neucom.2020.06.073 · Cited by 23
Mahmoud, T. A., Abdo, M. I., Elsheikh, E. A., & Elshenawy, L. M. (2021) · Journal of the Franklin Institute · doi:10.1016/j.jfranklin.2021.09.015 · Cited by 21
Wei, W., & Zhang, W. (2020) · Nonlinear Dynamics · doi:10.1007/s11071-020-05693-5 · Cited by 21
Hua, Z. (2025) · Nonlinear Dynamics · doi:10.1007/s11071-024-10247-0 · Cited by 20
“In the realm of feedback systems with input delay, an adaptive neural control approach was proposed in [9].”
Sai, H., Xu, Z., & Zhang, E. (2023) · Neural Computing and Applications · doi:10.1007/s00521-023-08797-2 · Cited by 20
Adaptive neural tracking control for non-affine nonlinear systems with finite-time output constraint
Wang, H., Liu, S., & Bai, W. (2020) · Neurocomputing · doi:10.1016/j.neucom.2020.02.027 · Cited by 20
Self-citationCongestion tracking control for multi-router TCP/AQM network based on integral backstepping
Ma, L., Liu, X., Wang, H., & Deng, X. (2020) · Computer Networks · doi:10.1016/j.comnet.2020.107278 · Cited by 19
Self-citationShen, Y., Shi, J., & Cai, S. (2021) · Neurocomputing · doi:10.1016/j.neucom.2021.04.097 · Cited by 19
Posture coordination control of two-manipulator system using projection neural network
Yang, M., Zhang, Y., & Hu, H. (2020) · Neurocomputing · doi:10.1016/j.neucom.2020.11.012 · Cited by 18
Zhang, T., Wang, M., Xia, M., & Yang, Y. (2020) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.5028 · Cited by 17
“, li,ni] T , Ai,0 is Hurwitz matrix and satisfies: PiAi,0 + Ai,0Pi = −hiIi, (21) with hi>0 being a design constant.”
BackgroundOmer, A. A. M., Wang, H., Tian, Y., & Peng, L. (2024) · Soft Computing · doi:10.1007/s00500-024-09883-w · Cited by 16
“Duetononlinearcharacteristicsanddifficultiesinbuilding an accurate model of the FCHEV system, the control effect of conventional control theory is limited (Wang et al. 2020).”
Self-citationGao, C., Liu, X., Wang, H., Zhao, N., & Wu, L. (2020) · International Journal of Systems Science · doi:10.1080/00207721.2020.1793237 · Cited by 16
Self-citationZare, I., Setoodeh, P., & Asemani, M. H. (2021) · Journal of the Franklin Institute · doi:10.1016/j.jfranklin.2021.09.029 · Cited by 16
Adaptive asymptotical funnel control for nonlinear systems with input quantization
Wang, H., & Shao, L. (2021) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.5775 · Cited by 14
“1 sin(t)e(−5t), and q(u) denotes the hysteresis input quantizer defined in (2).”
BackgroundMethodInfluentialSelf-citationLi, T., & Li, S. (2023) · ISA Transactions · doi:10.1016/j.isatra.2023.06.013 · Cited by 14
Montoya–Cháirez, J., Moreno–Valenzuela, J., Santibáñez, V., Carelli, R., Rossomando, F. G., & Pérez‐Alcocer, R. (2021) · IET Control Theory and Applications · doi:10.1049/cth2.12202 · Cited by 14
Kang, S., Liu, P. X., & Wang, H. (2021) · International Journal of Adaptive Control and Signal Processing · doi:10.1002/acs.3351 · Cited by 14
“j=1 (3 4 b(2)j + 1 2 h(2)j + 1 4 β∗4 j ) + ξ3 i (ξi+1 + ri+1 + αi + ωi+1 − αi + fi − ?̇?i + 1 4 ξi − ṙi ) + 3 2 ξ2 i g T i gi, (35) the following inequalities is verified based on Lemma 2”
Self-citationAdaptive neural control for non-strict feedback stochastic nonlinear systems with input delay
Zheng, X. (2023) · Transactions of the Institute of Measurement and Control · doi:10.1177/01423312231169561 · Cited by 14
“…ability, an adaptive fuzzy/neural controller was presented to secure the stability of the closed-loop system (Fu et al., 2022; Jiang et al., 2022; Li et al., 2017, 2019, 2022; Liu et al., 2021; Ma et al., 2018; Qiu et al., 2022; Tehrani et al., 2019; Wang et al., 2020, 2022; Yang et al., 2020).”
BackgroundMethodInfluentialDirect Adaptive Fuzzy Tracking Control of Non-affine Stochastic Nonlinear Time-Delay Systems
Wang, H., Shan, L., Zhao, X., & Li, T. (2020) · International Journal of Fuzzy Systems · doi:10.1007/s40815-020-00925-7 · Cited by 13
Self-citationYassin, F., Rhili, F. E., Atig, A., Zribi, A., & Abdennour, R. B. (2021) · Iranian Journal of Science and Technology Transactions of Electrical Engineering · doi:10.1007/s40998-021-00434-9 · Cited by 12
“The recurrent neural network is very helpful to provide system control with high performances (Fei and Wang 2020; Hassanpour et al. 2020; Pan et al. 2020; Wu et al. 2020).”
BackgroundHan, S., Wang, W., Wang, Y., & Liu, G. (2022) · Processes · doi:10.3390/pr10071349 · Cited by 12
Xia, X., Du, C., Zhang, T., & Fang, Y. (2024) · Nonlinear Dynamics · doi:10.1007/s11071-024-10391-7 · Cited by 12
“Compensation technique was used to solve the problem of large input delay in [22,23].”
Fixed-time neural network composite learning control for uncertain nonlinear systems
Wu, Z., Zou, Z., Bu, X., Zhang, J., & Ma, K. (2024) · Engineering Applications of Artificial Intelligence · doi:10.1016/j.engappai.2024.109722 · Cited by 12
Xu, W., Liu, X., Wang, H., & Zhou, Y. (2020) · International Journal of Control Automation and Systems · doi:10.1007/s12555-019-0996-2 · Cited by 12
Self-citationXia, X., Pan, J., Zhang, T., & Fang, Y. (2022) · Journal of the Franklin Institute · doi:10.1016/j.jfranklin.2022.10.004 · Cited by 12
Guo, J. Y., Bo, Y., Park, J. H., & Ma, J. (2021) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.5929 · Cited by 12
Kharrat, M., & Alhazmi, H. (2024) · AIMS Mathematics · doi:10.3934/math.2024668 · Cited by 11
“The results, as depicted in Table 2, demonstrate a marginal improvement in the proposed control scheme relative to the existing control method [29].”
MethodResultInfluentialXia, X., Pan, J., Zhang, T., & Fang, Y. (2023) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.6603 · Cited by 11
“Differentiating (26) to time t, one gets”
An adaptive finite‐time stable control law for manipulator robots with unknown parameters
Boutalbi, O., Benmahammed, K., & Boukezata, B. (2021) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.5538 · Cited by 11
“The proposed control law (Equations 20)–(22) make the system (Equation 19) globally uniformly asymptotically stable if the following conditions are respected: r2 ≥ c, r1 ≥ r2 + c, kp ≥ 1 ε2 , kd ≥ 1 ε (43)”
BackgroundZhai, J., Wang, H., Tao, J., & He, Z. (2022) · Transactions of the Institute of Measurement and Control · doi:10.1177/01423312221110437 · Cited by 11
“Compared with the results in Cui et al. (2020), Liu et al. (2020), Sun et al. (2018, 2021b), Wang et al. (2017) and Xu et al. (2019), the method in this paper theoretically guarantees the correctness of the finite time control strategy based on the approximate method.”
MethodResultInfluentialSelf-citationKharrat, M. (2024) · International Journal of Adaptive Control and Signal Processing · doi:10.1002/acs.3936 · Cited by 10
“The results clearly indicate that our proposed method outperforms the strategy described in [5]. in terms of tracking performance.”
InfluentialAntiwindup Compensator-Based Control for Periodic Piecewise Delayed Systems With Input Saturations
Satheesh, T., Sakthivel, R., Harshavarthini, S., Manikandan, R., & Almakhles, D. J. (2022) · Journal of Dynamic Systems Measurement and Control · doi:10.1115/1.4056106 · Cited by 10
Long, L., & Bian, Y. (2020) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.5113 · Cited by 10
“0 χ ∂G−1 nk (sn−1, znχ + αn−1) ∂sj dχ ]2 + 1 4ηn , (38)”
Yao, Q. (2021) · Neural Processing Letters · doi:10.1007/s11063-021-10675-8 · Cited by 10
Song, S., Zhang, B., Park, J. H., & Song, X. (2021) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.5938 · Cited by 10
“In Reference 36, an NN-based adaptive backstepping control scheme was developed for nonlinear systems with input delay, where an auxiliary system is constructed to eliminate the influence of input delay.”
BackgroundMethodReachable set estimation for neutral Markovian jump systems with mode‐dependent time‐varying delays
Jiang, X., Xia, G., Feng, Z., & Jiang, Z. (2020) · Optimal Control Applications and Methods · doi:10.1002/oca.2670 · Cited by 9
“, 11, δ12 = [0q×11p Iq], τ12 = τ2 − τ1, d12 = d2 − d1, the following theorem is presented to give reachable set estimation for NMJSs (3) with different delay mode and system mode.”
BackgroundMethodInfluentialAbdulkareem, M. M., Attrah, N. H. Y., Alrubaee, S. H., Al-Sabti, S. M. B., Dheyab, A., & Mohammed, A. H. (2022) · International Symposium on Multidisciplinary Studies and Innovative Technologies (ISMSIT) · doi:10.1109/ismsit56059.2022.9932689 · Cited by 8
Ghoreishee, S. A., Shahrokhi, M., Vafa, E., & Moradvandi, A. (2022) · International Journal of Adaptive Control and Signal Processing · doi:10.1002/acs.3541 · Cited by 8
“Based on Lemma 3, it can be concluded that if a RBFNN is used for the approximation of a function, there is a ε∗ > 0 such that F(X) = W TS(X) + ε(X), |ε(X)| ≤ ε∗ (20) and based on the definition of Gaussian functions, (19), there is a positive constant, Λ, such that ||S(X)||2 ≤ Λ (21) Lemma 4.”
BackgroundCongestion Tracking Control for Wireless TCP/AQM Network Based on Adaptive Integral Backstepping
Ma, L., Liu, X., Wang, H., & Zhou, Y. (2020) · International Journal of Control Automation and Systems · doi:10.1007/s12555-019-0724-y · Cited by 8
“Many researches combine backstepping with other control methods, such as minimax [38], H ∞ [39], Prescribed Performance Control (PPC) [40], funnel control, fuzzy logic [41–46], neural network [47–51] and so on, to solve network congestion control problems.”
MethodSelf-citationYang, Y., Chen, D., Yue, W., & Liu, Q. (2022) · ISA Transactions · doi:10.1016/j.isatra.2022.02.030 · Cited by 8
Yao, Q. (2022) · Asian Journal of Control · doi:10.1002/asjc.2771 · Cited by 8
“Over the recent years, some adaptive neural/fuzzy backstepping controllers have been presented for the control of nonstrict-feedback nonlinear systems [16 – 24].”
BackgroundKharrat, M. (2025) · International Journal of Systems Science · doi:10.1080/00207721.2025.2563692 · Cited by 7
“In recent years, the control of nonlinear systems has attracted significant attention due to its widespread applications in robotics, aerospace, process engineering, and other complex systems (Lu et al., 2025; H. Wang et al., 2020; W. J. Zhao et al.,2021 ).”
Wu, P., Liu, W., & Lu, Y. (2023) · Transactions of the Institute of Measurement and Control · doi:10.1177/01423312231157794 · Cited by 7
“In Wang et al. (2020), a novel auxiliary sys-tem was constructed to handle the adverse influence caused by input delay.”
MethodYue, H., Xue, A., & Li, J. (2024) · Journal of low frequency noise, vibration and active control · doi:10.1177/14613484241238595 · Cited by 7
“Subsequently, in literatures, 12,13 the authors cleverly removed the restriction of monotonically increasing nonlinear functions by using the properties of the FLS/NN, and designed a new fuzzy adaptive fi xed-time tracking control strategy and a novel adaptive NN tracking control strategy for…”
Fu, M., Shen, D., Zhao, G., Shang, G., Bai, S., Li, X., & Hao, Z. (2023) · Textile Research Journal · doi:10.1177/00405175221148258 · Cited by 7
Ma, T. (2020) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.5001 · Cited by 7
Wang, Z., Zhao, M., Sun, D., Wang, L., Lin, J., & Cheng, S. (2025) · IEEE Transactions on Vehicular Technology · doi:10.1109/tvt.2025.3533114 · Cited by 6
“Other parameter selections were based on the information provided in [1] and [34].”
Event-triggered adaptive neural network control for stochastic nonholonomic systems with input delay
Du, Q., Wang, S., & Zhu, Q. (2025) · Journal of the Franklin Institute · doi:10.1016/j.jfranklin.2025.107955 · Cited by 6
Jia, J., Lan, J., Liu, Y., & Liu, L. (2022) · International Journal of Systems Science · doi:10.1080/00207721.2022.2141596 · Cited by 6
“Several kinds of adaptive neural network control are studied in Liu and Tong (2016), Wang and Huang (2002) and Wang et al. (2020), which involve two kinds of systems: nonlinear pure feedback and nonlinear nonstrict-feedback.”
BackgroundA Differential Hall Effect Based Pressure Sensor
Paliwal, S., & Yenuganti, S. (2021) · Journal of Electrical Engineering and Technology · doi:10.1007/s42835-020-00647-8 · Cited by 6
Kharrat, M., & Alhazmi, H. (2025) · Neural Processing Letters · doi:10.1007/s11063-025-11749-7 · Cited by 5
“The main achievements of this article are summarized as follows: (i) In contrast to established findings [13, 18, 19, 28], this paper explores an adaptive fixed-time tracking control issue within nonstrict-feedback nonlinear systems, contending with both input delay and unknown backlash-like…”
Manual steering and robust adaptive constrained control of ship autopilot
Huang, C., Zhao, Y., Li, B., & Zhang, G. (2024) · Ocean Engineering · doi:10.1016/j.oceaneng.2024.119248 · Cited by 5
Bi, W., Sui, S., Tong, S., & Chen, C. L. P. (2024) · International Journal of Systems Science · doi:10.1080/00207721.2024.2343740 · Cited by 5
“In the case of input delay, a solution to the problem of control design for nonlinear systems is given (Wang et al., 2020).”
BackgroundYang, X., Li, J., Ge, S. S., Liang, X., & Han, T. (2024) · Fractal and Fractional · doi:10.3390/fractalfract8060339 · Cited by 5
Self-citationZeng, C., Su, A., Chen, T., & Chen, S. (2024) · Nonlinear Dynamics · doi:10.1007/s11071-024-10521-1 · Cited by 5
“In [24], the controller design problem was investigated for non-strict-feedback systems with input delay.”
Kharrat, M., Krichen, M., Alhazmi, H., & Mercorelli, P. (2025) · Arabian Journal for Science and Engineering · doi:10.1007/s13369-024-09934-2 · Cited by 5
Fixed-time adaptive fuzzy control for a class of non-strict-feedback uncertain non-linear systems
Yao, Q. (2021) · Transactions of the Institute of Measurement and Control · doi:10.1177/01423312211015124 · Cited by 5
“In this respect, some adaptive neural/fuzzy backstepping controllers have been presented for the control of NF non-linear systems (Chen et al., 2012, 2016, 2018; Tong et al., 2016; Wang et al., 2017, 2018, 2020; Wu et al., 2017; Yang et al., 2016; Zhou et al., 2017).”
BackgroundMethodZhang, X., Zhuang, X., Liu, E., Zhang, A., & Qiu, J. (2023) · Asian Journal of Control · doi:10.1002/asjc.3105 · Cited by 5
Dong, Y., Song, S., Song, X., & Tejado, I. (2024) · Mathematics · doi:10.3390/math12020314 · Cited by 5
Zhou, Y., Zhao, W., Zhu, S., Han, Y., Xing, J.-M., & Qing-hua, Z. (2024) · International Journal of Control · doi:10.1080/00207179.2024.2319752 · Cited by 5
“Meanwhile, according to Wang et al. (2020b), the state variables (cid:20) i of the auxiliary system (13) remain bounded.”
Ju, X., & Zhou, S. (2024) · International Journal of Systems Science · doi:10.1080/00207721.2024.2435575 · Cited by 5
“Some existing methods may not be able to fully estimate these parameters, for example, see (Sun et al., 2021; Tong, Li and Sui, 2016; Tong, Min et al., 2020; H. Wang et al.,2019 ; Xie et al., 2022) and so on.”
InfluentialLiu, X., Gao, C., Chen, M., & Yang, Y. (2020) · IEEE Access · doi:10.1109/access.2020.3027686 · Cited by 5
Predictor-based sampled-data output-feedback control for feedforward nonlinear time-delay systems
Zhang, W., Pan, W., Zhang, X., & Liu, Q. (2024) · Control Theory and Technology · doi:10.1007/s11768-024-00237-3 · Cited by 4
“Specifi-cally, existing results in the open literature involved input delays [14–16], state delays [17–19], output delays [20–23] or any combination of them [24, 25].”
Adaptive Dynamic Surface Control of Epileptor Model Based on Nonlinear Luenberger State Observer
Dolatabadi, M. K., Kamali, M., & Shayegh, F. (2025) · International Journal of Neural Systems · doi:10.1142/s0129065725500224 · Cited by 4
Kharrat, M. (2026) · Communications in Nonlinear Science and Numerical Simulation · doi:10.1016/j.cnsns.2026.109690 · Cited by 4
Metadata
- Authors
- Wang, H., Liu, S., & Yang, X.
- Affiliations
- Bohai University (CN)
- Harbin Institute of Technology (CN)
- Corresponding author
- Wang, Huanqing
- Venue
- Information Sciences
- Publisher
- Elsevier BV
- Published
- 2020-04
- Volume
- 514
- Pages
- 605-616
- ISSN
- 0020-0255 (ISSN-L)
- OpenAlex
- W2988820939
- Cited by
- 152
- References
- 47
- Citations by year
- 2026: 9 · 2025: 23 · 2024: 24 · 2023: 19 · 2022: 15 · 2021: 23 · 2020: 39
- FWCI
- 10.66
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Information Sciences (publishedVersion)
- Funders
- Program for Liaoning Innovative Talents in University (LR2016040)
- Taishan Scholar Project of Shandong Province (2015162, tsqn201812093)
- Natural Science Foundation of Liaoning Province (20180550590, 20180550691)
- National Natural Science Foundation of China (61773072, 61773073)
- 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
- adaptive neural network control, input delay, auxiliary systems, backstepping control, state feedback stabilization, semi-global uniform ultimate boundedness, intelligent control
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