Open Access. Powered by Scholars. Published by Universities.®
Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
- Keyword
-
- ADRC (1)
- Adaptive Sampling Methods (1)
- Bessel functions (1)
- Biology (1)
- Control Theory (1)
-
- Differential equations (1)
- Dynamical systems (1)
- Dynamics (1)
- ESO (1)
- Finance (1)
- First Destination Survey(FDS) (1)
- Flow networks (1)
- Gene networks (1)
- Hankel transform (1)
- Lorenz system (1)
- MDP (1)
- MIMO (1)
- Markov Decision Process (1)
- Policy Iteration (1)
- Q-learning (1)
- SISO (1)
- Schrödinger equation (1)
Articles 1 - 5 of 5
Full-Text Articles in Physical Sciences and Mathematics
The Bessel Function, The Hankel Transform And An Application To Differential Equations, Isaac C. Voegtle
The Bessel Function, The Hankel Transform And An Application To Differential Equations, Isaac C. Voegtle
Electronic Theses and Dissertations
In this thesis we explore the properties of Bessel functions. Of interest is how they can be applied to partial differential equations using the Hankel transform. We use an example in two dimensions to demonstrate the properties at work as well as formulate thoughts on how to take the results further.
Adrc Based Control Of Nonlinear Dynamical System With Multiple Sources Of Disturbance And Multiple Inputs, Chan Mi Park
Adrc Based Control Of Nonlinear Dynamical System With Multiple Sources Of Disturbance And Multiple Inputs, Chan Mi Park
Electronic Theses and Dissertations
In this thesis, we study the stability of Active Disturbance Rejection Control (ADRC) applied to controlling the Lorenz system. The Lorenz system is a nonlinear dynamical system that we attempt to control. In fact, the system is used to model convection flow such as that found in thermosyphons, electric circuits, and lasers. We are stabilizing the Lorenz system along with a few disturbances. Thus, to stabilize this chaotic system, a robust controller is required. The ADRC system is known as as effective method to stabilize a dynamical system. With the help of the Extended State Observer (ESO), the system can …
A Markov Decision Process Approach To Adaptive Contact Strategies, Artur Grygorian
A Markov Decision Process Approach To Adaptive Contact Strategies, Artur Grygorian
Electronic Theses and Dissertations
In the field of survey methodology, optimizing contact strategies helps organizations increase response rates using their allocated budget. Markov Decision Processes (MDP) are widely used to model decision-making strategies in situations where the outcomes have a random component. In this research, we use MDPs and adaptive sampling techniques to construct a strategy that, based on target audience characteristics, suggests the best contact policy. The data we use comes from the First Destination Survey conducted by the Office of Career Services at Georgia Southern University. The constructed model is quite flexible and can be used by other organizations to optimize their …
Applications Of Flow Network Models In Finance, Angel J. Woods
Applications Of Flow Network Models In Finance, Angel J. Woods
Electronic Theses and Dissertations
In this thesis we explore the applications of flow networks in practical problems in finance. After introducing basic definitions and background information, we first survey some known applications of flow networks in theoretical mathematics. We also briefly comment on their potential applications in the setting of financial flow networks. We then construct networks from practical financial flows and present the construction, reasoning, and known applications. Lastly, we show a design of financial flow networks that takes time into consideration and discuss its applications.
Dynamics Of Gene Networks In Cancer Research, Paul Scott
Dynamics Of Gene Networks In Cancer Research, Paul Scott
Electronic Theses and Dissertations
Cancer prevention treatments are being researched to see if an optimized treatment schedule would decrease the likelihood of a person being diagnosed with cancer. To do this we are looking at genes involved in the cell cycle and how they interact with one another. Through each gene expression during the life of a normal cell we get an understanding of the gene interactions and test these against those of a cancerous cell. First we construct a simplified network model of the normal gene network. Once we have this model we translate it into a transition matrix and force changes on …