scholarly journals Optimal control strategy with multi-delay in state and control variables of a discrete mathematical modeling for the dynamics of diabetic population

2020 ◽  
Keyword(s):  
Mathematical Modeling ◽  
Optimal Control ◽  
Control Strategy ◽  
Optimal Control Strategy ◽  
Control Variables ◽  
Diabetic Population ◽  
And Control

scholarly journals Optimal Control of an SIR Model with Delay in State and Control Variables

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Mohamed Elhia ◽  
Mostafa Rachik ◽  
Elhabib Benlahmar
Keyword(s):  
Optimal Control ◽  
Influenza A ◽  
Optimization Strategy ◽  
Sir Epidemic Model ◽  
Optimal Control Strategy ◽  
Control Variables ◽  
Sir Epidemic ◽  
Influenza A H1n1 ◽  
Using Data ◽  
And Control

We will investigate the optimal control strategy of an SIR epidemic model with time delay in state and control variables. We use a vaccination program to minimize the number of susceptible and infected individuals and to maximize the number of recovered individuals. Existence for the optimal control is established; Pontryagin’s maximum principle is used to characterize this optimal control, and the optimality system is solved by a discretization method based on the forward and backward difference approximations. The numerical simulation is carried out using data regarding the course of influenza A (H1N1) in Morocco. The obtained results confirm the performance of the optimization strategy.

scholarly journals A New Mathematical Modeling with Optimal Control Strategy for the Dynamics of Population of Diabetics and Its Complications with Effect of Behavioral Factors

2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Abdelfatah Kouidere ◽  
Abderrahim Labzai ◽  
Hanane Ferjouchia ◽  
Omar Balatif ◽  
Mostafa Rachik
Keyword(s):  
Mathematical Modeling ◽  
Optimal Control ◽  
Control Strategy ◽  
Negative Impact ◽  
Optimal Controls ◽  
Optimal Control Strategy ◽  
Awareness Campaigns ◽  
Surrounding Environment ◽  
Dynamics Of Population

We propose an optimal control strategy by conducting awareness campaigns for diabetics about the severity of complications of diabetes and the negative impact of an unbalanced lifestyle and the surrounding environment, as well as treatment and psychological follow-up. Pontryagin’s maximum principle is used to characterize the optimal controls, and the optimality system is solved by an iterative method. Finally, some numerical simulations are performed to verify the theoretical analysis using MATLAB.

Cutting Tools Offset in Lathe Machines Using a Modern Heuristic Technique

2014 ◽  
Author(s):  
Dhafar Al-Ani ◽  
Saeid Habibi
Keyword(s):  
Mathematical Modeling ◽  
Optimal Control ◽  
Control Strategy ◽  
Cutting Tools ◽  
Industrial System ◽  
Optimal Control Strategy ◽  
Swarm Optimization ◽  
De Algorithm ◽  
Stepper Motors ◽  
Heuristic Technique

In this paper, an optimal control strategy (i.e., offset settings system) based on the new Multi-objective Particle Swarm Optimization with Differential Evolution (MOPSO-DE) technique is developed and presented. The MOPSO-DE algorithm is used for calculating the optimal positions (i.e., offset settings) for the cutting tools in lathe machines. This optimal control strategy yields interesting results without a need to go through the complex mathematical modeling of the lathe system. The proposed technique is validated considering a real-world industrial system. This strategy is designed to take an action every 20 pieces, and it takes only 2.5 sec to run the code and optimally calculate the new settings. The control strategy is implemented using two high precision linear stepper motors. By implementing the new optimal control strategy, the estimated number of the defective pieces per day can be reduced by 85%.

Nonlinear dynamic characteristics and control of Galfenol-Shape Memory Alloy composite plate subjected to stochastic excitation

2020 ◽  
Vol 64 (1-4) ◽  
pp. 1547-1554
Author(s):  
Xiao-Huan Li ◽  
Fang Liu ◽  
Jia Xu ◽  
Zhi-Wen Zhu
Keyword(s):  
Optimal Control ◽  
Dynamic Characteristics ◽  
Control Strategy ◽  
Nonlinear Dynamic ◽  
Composite Plate ◽  
Vibration Reduction ◽  
Stochastic Excitation ◽  
Optimal Control Strategy ◽  
Nonlinear Dynamic Characteristics ◽  
And Control

In this paper, the nonlinear dynamic characteristics and control of a Galfenol-shape memory alloy (SMA) composite plate under stochastic excitation are studied. New nonlinear differential terms are applied in the constitutive modeling of Galfenol alloy and SMA, and the nonlinear dynamic model of the composite system is developed. The drift coefficient and the diffusion coefficient are calculated to obtain the steady-state probability density function of the system, and finally the optimal control strategy is proposed to improve the effects of vibration reduction. Numerical simulation and experiments results show that the system has abundant nonlinear dynamic characteristics, including stochastic Hopf bifurcation and limit cycle bifurcation. The stochastic optimal control strategy can improve the effects of vibration reduction efficiently. These results are helpful for the application of Galfenol-SMA composite structures.

Application of Optimal Control Strategy to Converter Gas Recovery System

2012 ◽  
Vol 38 (6) ◽  
pp. 1017 ◽  
Author(s):  
Jia-Yan ZHANG ◽  
Zhong-Hai MA ◽  
Xiao-Bin QIAN ◽  
Shao-Ming LI ◽  
Jia-Hong LANG
Keyword(s):  
Optimal Control ◽  
Control Strategy ◽  
Optimal Control Strategy ◽  
Gas Recovery ◽  
Recovery System ◽  
Converter Gas
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