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COMMUTATORS OF SINGULAR INTEGRAL OPERATOR ON HERZ-TYPE HARDY SPACES WITH VARIABLE EXPONENT
Hongbin Wang 대한수학회 2017 대한수학회지 Vol.54 No.3
Let $\Omega\in L^s(\mathrm{S}^{n-1})$ for $s>1$ be a homogeneous function of degree zero and $b$ be BMO functions or Lipschitz functions. In this paper, we obtain some boundedness of the Calder\'{o}n-Zygmund singular integral operator $T_\Omega$ and its commutator $[b,T_\Omega]$ on Herz-type Hardy spaces with variable exponent.
COMMUTATORS OF SINGULAR INTEGRAL OPERATOR ON HERZ-TYPE HARDY SPACES WITH VARIABLE EXPONENT
Wang, Hongbin Korean Mathematical Society 2017 대한수학회지 Vol.54 No.3
Let ${\Omega}{\in}L^s(S^{n-1})$ for s > 1 be a homogeneous function of degree zero and b be BMO functions or Lipschitz functions. In this paper, we obtain some boundedness of the $Calder{\acute{o}}n$-Zygmund singular integral operator $T_{\Omega}$ and its commutator [b, $T_{\Omega}$] on Herz-type Hardy spaces with variable exponent.
Data-driven Model Free Formation Control for Multi-USV System in Complex Marine Environments
Hongbin Wang,Qianda Luo,Ning Li,Wei Zheng 제어·로봇·시스템학회 2022 International Journal of Control, Automation, and Vol.20 No.11
Formation control of multi-USV system in complex marine environments is investigated in this study, and a data-driven disturbance observer (DDO)-based model free adaptive control (MFAC) framework is suggested. The FMAC scheme is designed by using only the input and output data of complex USV dynamics, including the calculation of pseudo-Jacobian matrix (PJM) and the calculation of control law. To avoid the problem that the MFAC method cannot be directly applied to USV systems, an improved DDO is used to estimate the complex environmental disturbances and PJM estimation errors. Further, forgetting factor based MFAC (FMFAC) is proposed to avoid overshoot caused by redundant data. Then, the PJM estimation is proved to be accurate while the control structure of DDO-FMFAC is proved to be bounded-input and bounded-output (BIBO). Finally, the performances of the proposed method including effectiveness and robustness are shown in simulation results.
Hongbin Wang,Ning Li,Yueling Wang,Bo Su 제어·로봇·시스템학회 2021 International Journal of Control, Automation, and Vol.19 No.10
To overcome nonlinear, underactuated and external wind disturbances problems for the 6-DOF (degrees of freedom) quadrotor unmanned aerial vehicle (UAV) system, a backstepping sliding mode control algorithm based on high-order extended state observer (ESO) is proposed. Based on the hierarchical control principle, the quadrotor UAV dynamic system is decomposed into position subsystem and attitude subsystem to facilitate the backsteppingcontrol design. Moreover, the EXO is used to estimate the remaining unmeasurable states and the external wind disturbances online. The advantages of the controllers are that they can not only ensure good tracking performance, but also deal with uncertain external disturbances. To imitate the real situation as much as possible, the external wind disturbances are composed of four basic wind models in this paper. The tracking error and estimate error of the design methods are shown to arbitrarily small by using Lyapunov theory. Finally, the effectiveness and superiority of the proposed control algorithm are proved by the simulation.
Yuyao Wang,Xiaozeng Xu,Xiaoqin Li,Lei Cheng,Hongbin Zhang 제어·로봇·시스템학회 2021 International Journal of Control, Automation, and Vol.19 No.10
In this paper, the event-triggered filtering problem for continuous-time switched linear systems with overlapped mismatching intervals is investigated. The mismatching interval is the time period when the filter and the subsystem are asynchronous. It is assumed that only the sampled information of system state and switching signal is available to the H∞ filter at each sampling instant. Due to the overlaps between the mismatching intervals, multipleswitches are allowed during the adjacent sampling instants. Under this assumption, asynchronous time could be much longer than the modal dwell time (MDT). By constructing a time-dependent quadratic piecewise Lyapunov function, a new globally uniformly exponentially stability (GUES) result under MDT criteria is obtained, and theanalysis of the weighted H∞ filter is given. Moreover, the design method for the parameters of the filter and the eventtrigger are formulated and solved in the form of linear matrix inequalities (LMI). Finally, a numerical example at the end of this paper is proposed to illustrate the effectiveness and improvement of the proposed approach.
Yating Wang,Jianping Ni,Cui Chen,Jinyong Peng,Hongbin Liu 한국공업화학회 2014 Journal of Industrial and Engineering Chemistry Vol.20 No.6
High-yield pulp (HYP) is gaining increasing interest in papermaking, the presence of anionic trash hasbeen limiting its application in high-end paper products such as fine papers. In order to control the anionictrash ofHYP, the performances of three anionic trash catchers in terms of charge controland fiber fines andfiller retention enhancement were compared in a laboratory study. It was found that a poly-DADMACbased commercial product had the highest efficiency. The use of CPAM/Bentonite system resulted inhighest fiber fines and filler retention. The best anionic trash controlwas achieved when HYPwas treatedseparately.
Modeling of subway indoor air quality using Gaussian process regression
Liu, Hongbin,Yang, Chong,Huang, Mingzhi,Wang, Dongsheng,Yoo, ChangKyoo Elsevier 2018 Journal of hazardous materials Vol.359 No.-
<P><B>Abstract</B></P> <P>Soft sensor modeling of indoor air quality (IAQ) in subway stations is essential for public health. Gaussian process regression (GPR), as an efficient nonlinear modeling method, can effectively interpret the complicated features of industrial data by using composite covariance functions derived from base kernels. In this work, an accurate GPR soft sensor with the sum of squared-exponential covariance function and periodic covariance function is proposed to capture the time varying and periodic characteristics in the subway IAQ data. The results demonstrate that the prediction performance of the proposed GPR model is superior to that of the traditional soft sensors consisting of partial least squares, back propagation artificial neural networks, and least squares support vector regression (LSSVR). More specifically, the values of root mean square error, mean absolute percentage error, and coefficient of determination are improved by 12.35%, 9.53%, and 40.05%, respectively, in comparison with LSSVR.</P> <P><B>Highlights</B></P> <P> <UL> <LI> Gaussian process regression (GPR) is proposed to predict particulate matter (PM<SUB>2.5</SUB>) in a subway. </LI> <LI> Compositional structure of different base kernels of GPR is proposed to model PM<SUB>2.5</SUB>. </LI> <LI> GPR with sum of squared-exponential and periodic kernels provides the best modeling performance. </LI> <LI> The proposed GPR was compared with other soft sensors including PLS, ANN, and SVM. </LI> </UL> </P>
Performance analysis of information propagation in DTN-like scale-free mobile social network
( Zhifei Wang ),( Su Deng ),( Hongbin Huang ),( Yahui Wu ) 한국인터넷정보학회 2014 KSII Transactions on Internet and Information Syst Vol.8 No.11
Mobile social network can be seen as a specific application of the DTN (Delay Tolerant Network), in which the information propagation can be impacted by many social behaviors of the nodes. For a specific node, its social behaviors are various. For example, the node may not be interested in the information before receiving it and may also discard the information after getting it. On the other hand, people are more willing to forward the message to his friends. These interactive behaviors between nodes can be seen as social behaviors. It is easy to see that the impact of the social behaviors is related to the social ties, which can be manifested by the structure of the social network. State of the art works often simply assumes that the social networks can be divided into some communities. At present, some works find that the structure of some social networks is scale-free. To overcome this problem, this paper proposes a theoretical model to evaluate the impact of above social behaviors in the DTN-like scale-free network. Simulation shows the accuracy of the model. Numerical results show that both social behaviors and scale-free character have significant impact on information propagation. Moreover, the impact of social behaviors is related to the scale-free character of the networks.