An optimal control theory approach to the inverse problem of electrocardiography

1998 ◽  
pp. 109-117
Author(s):  
John Clements
Keyword(s):  
Optimal Control ◽  
Inverse Problem ◽  
Control Theory ◽  
Optimal Control Theory ◽  
Theory Approach ◽  
Inverse Problem Of Electrocardiography

scholarly journals Controlling Rabies Epidemics in Nepal with Limited Resources: Optimal Control Theory Approach

2020 ◽  
Vol 99 (99) ◽  
pp. 1-18
Author(s):  
Buddhi Pantha ◽  
Hem Joshi ◽  
Naveen Vaidya
Keyword(s):  
Optimal Control ◽  
Control Theory ◽  
Optimal Control Theory ◽  
Control Measures ◽  
Health Concern ◽  
Limited Resources ◽  
Extended Model ◽  
Theory Approach ◽  
Dependent Manner ◽  
Optimal Control Strategy

In many developing countries, including Nepal, rabies epidemics constitute a serious public health concern, partly because of limited resources for proper implementation of control measures. In this study, we develop an extended model by incorporating various controls into the transmission dynamics model with both dog and jackal vectors. We apply the optimal control theory on the developed model system to identify optimal control strategy for mitigating rabies burden in Nepal with limited resources. Among the potential control strategies, human vaccination, dog vaccination, dog culling, dog sterilization, and jackal vaccination, considered in this study, our results show that a combination of dog vaccination and dog culling is the most effective strategy to control rabies in Nepal. Our optimal control solutions provide the strategy for optimal implementation of these controls to suppress rabies prevalence among dogs and jackals of Nepal using a minimum cost associated with controls. We found that given limited resources, implementing controls in a time-dependent manner with a higher level at the beginning of the outbreaks and reducing them during later part of the epidemics can provide maximum benefits.

Optimization of pyrolytic chromium carbide coating properties

2020 ◽  
pp. 55-64
Author(s):  
N. N. Schitov ◽  
A. A. Lozovan
Keyword(s):  
Optimal Control ◽  
Inverse Problem ◽  
Control Theory ◽  
Abrasive Wear ◽  
Chromium Carbide ◽  
Optimal Control Theory ◽  
Direct Problem ◽  
Specific Interaction ◽  
Young Modulus ◽  
Quality Criterion

The paper discusses ways to optimize the properties of pyrolytic chromium carbide coatings (PCCC) for different industries. PCCC applications include protecting surfaces of different parts and units made of various materials against corrosion, sticking, high temperatures, and various types of wear. Such versatility of PCCCs is explained partly by the peculiarities of their structure that is generally a «superlattice» of alternating relatively hard and soft layers of different composition and, accordingly, functional characteristics such as microhardness and Young modulus. These structures with specific periods and layer thickness ratios correspond to the maximum quality criterion of the optimal control theory (OCT) problem, an inverse problem stated on the class of solutions for a direct problem simulating specific interaction, e.g. abrasive wear. At the same time, the direct problem itself, e.g. an indentation description, is an incorrect inverse problem of mathematical physics, and it needs its own optimal strategy to be solved. This results in a hierarchy of optimization algorithms that can be used to obtain best PCCC functional properties. When an abrasive-wear type direct problem cannot be formalized, it is suggested to use a computational-experimental method elaborated by the authors that is also based on OCT. The main focus is on the improvement of the PCCC deposition technology for every specific application using the optimal control theory. To obtain PCCCs that meet these conditions, it is required to take into account the physical and chemical features of precursor pyrolysis as well as the effect of different additives or catalysts in the process development.

scholarly journals Immunotherapy: An Optimal Control Theory Approach

2005 ◽  
Vol 2 (3) ◽  
pp. 499-510 ◽  
Author(s):  
K. Renee Fister ◽  
◽  
Jennifer Hughes Donnelly
Keyword(s):  
Optimal Control ◽  
Control Theory ◽  
Optimal Control Theory ◽  
Theory Approach
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