Parametrization of the attainable set for a nonlinear control model of a biochemical process by Ellina Grigorieva, Evgenii Khailov, Andrei Korobeinikov

“…These results allow toreduce the problem of constructing the optimal control to a straightforward constrained finitedimensional optimization problem.…”
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A Mathematical Overview of the Monogamous Marriage in a Multiregion Framework: Modelling and Control by Mustapha Lhous, Omar Zakary, Mostafa Rachik

“…The first control is considered as the impact of public awareness campaigns to educate virgin men and women about the benefits of marriage for the individual and the society; the second control characterizes the legal procedures, administrative complications, and the heavy financial and social consequences of divorces. The optimal control theory is applied to characterize such optimal strategies and determined numerically using a progressive-regressive discrete scheme to discuss the obtained results.…”
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The Study of Mean-Variance Risky Asset Management with State-Dependent Risk Aversion under Regime Switching Market by Shuang Li, Yu Yang, Yanli Zhou, Yonghong Wu, Xiangyu Ge

“…It has been derived closed-form analytical expressions applied in the time-inconsistent investment with optimal control theory to see that happens to the optimal value of the function. …”
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Fractal Dimension Analysis of the Julia Sets of Controlled Brusselator Model by Yuqian Deng, Xiuxiong Liu, Yongping Zhang

“…In this paper, the Julia set of Brusselator model which is a class of reaction diffusion equations from the viewpoint of fractal dynamics is discussed, and the control of the Julia set is researched by feedback control method, optimal control method, and gradient control method, respectively. …”
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Optimal linear quadratic control for wireless sensor and actuator networks with random delays and packet dropouts by Zhuwei Wang, Lihan Liu, Chao Fang, Xiaodong Wang, Pengbo Si, Hong Wu

“…It is shown that the optimal control law is the same for all locations of the controller placement. …”
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Time-Delayed Acceleration Feedback Control of a Single-Link Flexible Manipulator Using Kalman Filter by Yuming Huang, Weidong Chen, Minqiang Shao

“…In light of the estimated augmented states, a hybrid controller that combines a feedback control algorithm and a feedforward control algorithm is designed according to optimal control theory and Moore–Penrose theory. Numerical simulation results show that the proposed controller can damp out the vibration response of the flexible manipulator system effectively upon external excitations. …”
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Control Strategies to Curtail Transmission of COVID-19 by Nita H. Shah, Ankush H. Suthar, Ekta N. Jayswal

“…In the model, all possible cases of human-to-human transmission are considered and its reproduction number is formulated to analyse the accurate transmission dynamics of the coronavirus outbreak. Optimal control theory is applied to the model to demonstrate the impact of various intervention strategies, including voluntary quarantine, isolation of infected individuals, improving an individual's immunity, and hospitalization. …”
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Distribution Network Voltage Control Based on Coordinated Optimization of PV and Air-Conditioning by Qi Wang, Bin Lu, Xiaobo Dou, Yichao Sun, Jin Liu

“…This paper proposes a coordinated optimal control strategy of PV generators and air-conditioning loads, in order to handle the possible voltage beyond limit issues resulting from high penetration of PV generators in the distribution networks. …”
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Multi-Sided Delayed Impulsive Feedback Method for Controlling Chaos and Reducing Loss Ratio in Switched Arrival System with Switching Time Greater than 0 by Ming Chen, Xueshuai Zhu

“…The possible intervals for the optimal control coefficient under the same initial conditions are detected. …”
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Research on Cab Vibration Control Based on Parameter Hierarchical Interaction Model by Enyong Xu, Shuilong He, Weiguang Zheng, Tao Tang, Chao Li, Qibai Huang

“…The multiobjective design analysis is carried out by using the multiparameter joint optimisation design. Further, the optimal control of the cab vibration level is obtained from a full-condition simulation environment. …”
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Heavy-Duty Vehicle Braking Stability Control and HIL Verification for Improving Traffic Safety by Fahui Wang, Yongjie Lu, Haoyu Li

“…Secondly, the fuzzy PID and sliding mode controller based on yaw and centroid error are designed to find the optimal control strategy from the two kinds of control strategies for HIL experiments. …”
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Fast Model Predictive Control Based on Adaptive Alternating Direction Method of Multipliers by Yu Li, Qiming Zou, Xiaoru Ji, Chanyuan Zhang, Ke Lu

“…The simulation results demonstrate that the MPC based on a-ADMM has a significant improvement in real-time and convergence performance and thus is more suitable for solving large-scale optimal control problems.…”
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Impact of media coverage on the transmission dynamics of TB with vaccines and treatment. by Kumneger Tadesse Mulugeta, Mohammed Yiha Dawed, Shewafera Wondimagegnhu Teklu

“…In the qualitative analysis of the proposed model we proved the existence, uniqueness, positivity, and boundedness of the model solutions, investigated both the disease-free and endemic equilibrium points, computed the basic and effective reproduction numbers using next generation matrix approach, analyzed the stability analysis of the equilibrium points, the backward bifurcation using the Castillo-Chavez and Song theorem and we re-formulated the corresponding optimal control problem and analyzed by applying the Pontryagin's Minimum Principle. …”
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Kinematic Analysis and Optimization of Jerk Considering Elasticity of Weightlifting Bar and Damping Effect of Body in Clean and Jerk by Min Hyok Jon, Un‐Ryong Rim

“…Besides, spring constant is calculated by theory of bending of beam, as well. Finally, an optimal control problem based on the proposed kinematic model is formulated to optimize the jerk. …”
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Novel Observer-Based Suboptimal Digital Tracker for a Class of Time-Delay Singular Systems by Nien-Tsu Hu, Ter-Feng Wu, Sendren Sheng-Dun Xu, Hsu-Chih Huang

“…The equivalent regular time-delay system is important as it enables the optimal control theory to be conveniently combined with the digital redesign approach. …”
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On Modeling and Constrained Model Predictive Control of Open Irrigation Canals by Lihui Cen, Ziqiang Wu, Xiaofang Chen, Yanggui Zou, Shaohui Zhang

“…As a set of hyperbolic partial differential equations, they are not solved explicitly and difficult to design optimal control algorithms. In this work, a prediction model of an open canal is developed by discretizing the Saint-Venant equations in both space and time. …”
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Terminal Guidance Law for UAV Based on Receding Horizon Control Strategy by Zhenglong Wu, Zhenyu Guan, Chengwei Yang, Jie Li

“…The proposed guidance law adopts the basic framework of receding horizon control, and the guidance process is divided into several finite time horizons. Then, optimal control theory and target motion prediction model are used to derive guidance law for minimum time index function with continuous renewal of original conditions at the initial time of each horizon. …”
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Numerical Simulations and Control of Offshore Energy Harvesting Using Piezoelectric Materials in a Portal Frame Structure by Wagner B. Lenz, Mauricio A. Ribeiro, Rodrigo T. Rocha, Jose M. Balthazar, Angelo M. Tusset

“…The neighbour of selected variables is analyzed and then optimized by a process utilizing the particle swarm optimization (PSO) algorithm. Furthermore, an optimal control using the linear-quadratic regulator (LQR) controller is applied to control the load resistance of the piezoelectric circuit. …”
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Models to Assess the Effects of Nonsmooth Control and Stochastic Perturbation on Pest Control: A Pest-Natural-Enemy Ecosystem by Xuewen Tan, Wenjie Qin, Guangyao Tang, Changcheng Xiang, Xinzhi Liu

“…This study helps us to understand the impact of random factors on pest-outbreak frequency by theoretical derivations and numerical simulations; the results have directive significance in the design of an optimal control strategy for the department of ecological agriculture.…”
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Minimizing Banking Risk in a Lévy Process Setting by F. Gideon, J. Mukuddem-Petersen, M. A. Petersen

“…The aforementioned modeling enables us to formulate a stochastic optimal control problem related to the minimization of reserve, depository, and intrinsic risk that are associated with the reserve process, the net cash flows from depository activity, and cumulative costs of the bank's provisioning strategy, respectively. …”
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