Portfolio Optimization with Asset-Liability Ratio Regulation Constraints by De-Lei Sheng, Peilong Shen

“…Applying the stochastic optimal control technique, a Hamilton–Jacobi–Bellman (HJB) equation is derived. …”
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Multilingual Speech Emotion Research Based on Data Mining by Yanting Yu

“…In addition, this paper uses the basic knowledge of credibility theory to transform the model and finally transform the model into an optimal control problem. Through the speech emotion simulation experiment, it can be seen that the multilingual speech emotion analysis model based on data mining proposed in this paper has a good effect in speech emotion analysis.…”
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Optimal and Nonlinear Dynamic Countermeasure under a Node-Level Model with Nonlinear Infection Rate by Xulong Zhang, Chenquan Gan

“…On this basis, an optimal control problem capturing the dynamic countermeasure is proposed and analyzed. …”
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A formula for the sum of $n$ weak$^\star $ closed sets in $L^\infty $ by Zivari-Rezapour, Mohsen, Liu, Yichen, Emamizadeh, Behrouz

“…This result provides an answer to a long standing question for which the particular case $n=2$ had been known and used frequently in the optimal control problems.…”
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On a system of Hamilton-Jacobi-Bellman inequalities associated to a minimax problem with additive final cost by Silvia C. Di Marco, Roberto L. V. González

“…We study a minimax optimal control problem with finite horizon and additive final cost. …”
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Performance Improvements of a Permanent Magnet Synchronous Machine via Functional Model Predictive Control by Ahmed M. Kassem, A. A. Hassan

“…The MPC is used to calculate the optimal control actions including system constraints. …”
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A Systematic Review on the Advancement in the Study of Fuzzy Variational Problems by Mansi Verma, Chuei Yee Chen, Adem Kılıçman, Risman Mat Hasim

“…The study of fuzzy variational problems has received significant attention over the past decade due to its successful applications in numerous fields, such as image segmentation and optimal control theory. The fuzzy Euler-Lagrange equations provide the necessary optimality conditions for solving fuzzy variational problems explicitly and have been studied under several differentiability conditions. …”
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On New Picard-Mann Iterative Approximations with Mixed Errors for Implicit Midpoint Rule and Applications by Teng-fei Li, Heng-you Lan

“…Further, some numerical examples and applications to optimal control problems with elliptic boundary value constraints are considered via the new Picard-Mann iterative approximations, which shows that the new Picard-Mann iteration process with mixed errors for the implicit midpoint rule of nonexpansive mappings is brand new and more effective than other related iterative processes.…”
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Helicopter Autorotation Trajectory Planning Method Using Functional Tensor-Train-Based Dynamic Programming Algorithms by Yunjie Wang, Chen Jiang, Shuai Deng, Haowen Wang

“…Helicopter autorotation trajectory planning problems have been dealt within computationally expensive optimal control algorithms. This paper presents an efficient helicopter autorotation trajectory planning method, using functional tensor-train- (FT-) based dynamic programming (DP) algorithms. …”
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Driver Source-Based Traffic Control Approach for Mitigating Congestion in Freeway Bottlenecks by Minglun Li, Hu Yang, Bao Guo, Jianjun Dai, Pu Wang

“…Next, the differential evolution algorithm is employed to calculate the optimal control time at each traffic control on-ramp. …”
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Pulse Width Modulation Control of Mecanum-Wheeled Mobile Robot With Random Noise by Ruijie Yin, Zhaojing Wu, Likang Feng

“…Therefore, the optimal duty ratio is generated by the positive part and the negative part of the optimal control, the digital controller is synthesized in turns. …”
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Exact Boundary Controller Design for a Kind of Enhanced Oil Recovery Models by Ping Guo, Changhua Wei, Wenjun Xiong, Chunlan Zhao

“…Moreover, an interval of the control time is presented to not only give the optimal control time but also show the time for avoiding the blowup of the controllable solution. …”
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Inverse Dynamics Based Optimal Fuzzy Controller for a Robot Manipulator via Particle Swarm Optimization by M. J. Mahmoodabadi, A. Ziaei

“…This paper endeavors to contribute to the field of optimal control via presenting an optimal fuzzy Proportional Derivative (PD) controller for a RPP (Revolute-Prismatic-Prismatic) robot manipulator based on particle swarm optimization and inverse dynamics. …”
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Calibration of the Volatility in Option Pricing Using the Total Variation Regularization by Yu-Hua Zeng, Shou-Lei Wang, Yu-Fei Yang

“…We not only prove the existence of the solution, but also provide the necessary condition of the optimal control problem—Euler-Lagrange equation. The stability and convergence analyses for the proposed approach are also given. …”
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Velocity Control for Coning Motion Missile System Using Direct Discretization Method by Rui-sheng Sun, Chao Ming

“…By using a direct discretization method to transform the optimal control problem into a nonlinear dynamic programming problem, the optimal trajectory and velocity profile are obtained to satisfy the design index requirement. …”
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Optimal Strategies for Control of COVID-19: A Mathematical Perspective by Baba Seidu

“…It is shown that border closure (or at least screening) is indispensable in the fight against the spread of SARS-CoV-2. Simulation of optimal control of the model suggests that the most cost-effective strategy to combat SARS-CoV-2 is to reduce contact through use of nose masks and physical distancing.…”
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Novel Approach to Preview Control for a Class of Continuous-Time Systems by Fucheng Liao, Yujie Xu, Jiang Wu

“…Based on the theory of optimal control, the regulator problem of the augmented error system is solved. …”
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PID-MPC Implementation on a Chiller-Fan Coil Unit by C. Sanama, X. Xia, M. Nguepnang

“…The coupling effect between temperature and humidity is considered, whilst an optimal control action is determined. The MPC is also implemented to withstand disturbances. …”
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The Role of Optimal Intervention Strategies on Controlling Excessive Alcohol Drinking and Its Adverse Health Effects by Steady Mushayabasa

“…The control functions represent the efforts and policies aimed at weakening the intensity of social interactions between light and heavy drinkers and increase the fraction of treated individuals who permanently quit alcohol drinking. Optimal control results suggest that effective control of high-risk alcohol drinking can be achieved if more resources and efforts are devoted on weakening the intensity of social interactions between light and heavy drinkers.…”
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Control Application of Piezoelectric Materials to Aeroelastic Self-Excited Vibrations by Mohammad Amin Rashidifar, Darvish Ahmadi

“…Considering this criterion in quadratic optimal control systems, a special style of performance index is configured. …”
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