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All Articles in Control Theory

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260 full-text articles. Page 1 of 9.

Optimal Control Of Vaccination Rate In An Epidemiological Model Of Clostridium Difficile Transmission, Brittany Stephenson 2016 University of Tennessee, Knoxville

Optimal Control Of Vaccination Rate In An Epidemiological Model Of Clostridium Difficile Transmission, Brittany Stephenson

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Delay-Independent Stability Analysis Of Linear Time-Delay Systems Based On Frequency, Xianwei Li, Huijun Gao, Keqin Gu 2016 Harbin Institute of Technology

Delay-Independent Stability Analysis Of Linear Time-Delay Systems Based On Frequency, Xianwei Li, Huijun Gao, Keqin Gu

SIUE Faculty Research, Scholarship, and Creative Activity

This paper studies strong delay-independent stability of linear time-invariant systems. It is known that delay-independent stability of time-delay systems is equivalent to some frequency-dependent linear matrix inequalities. To reduce or eliminate conservatism of stability criteria, the frequency domain is discretized into several sub-intervals, and piecewise constant Lyapunov matrices are employed to analyze the frequency-dependent stability condition. Applying the generalized Kalman–Yakubovich–Popov lemma, new necessary and sufficient criteria are then obtained for strong delay-independent stability of systems with a single delay. The effectiveness of the proposed method is illustrated by a numerical example.


On Approximately Controlled Systems, Nazim I. Mahmudov, Mark A. McKibben 2016 Eastern Mediterranean University - Turkey

On Approximately Controlled Systems, Nazim I. Mahmudov, Mark A. Mckibben

Mathematics

No abstract provided.


Self-Correcting Kelly Strategies For Skeptical Traders, Aaron C. Brown 2016 AQR

Self-Correcting Kelly Strategies For Skeptical Traders, Aaron C. Brown

International Conference on Gambling and Risk Taking

The Kelly criterion gives the appropriate bet size in idealized situations with known parameters. In financial trading situations parameters are generally unknown and the mathematical assumptions underlying the Kelly proof are not met precisely. Moreover a risk manager typically must cooperate with a trader who may be skeptical about both the Kelly criterion specifically and the concept of mathematical optimization of bet size in general.

This presentation tackles the problem of designing a Kelly-based system for setting trade risk management parameters that is both self-correcting (the system delivers good results even if initial parameter are misestimated or parameters change) and ...


Toward Adaptive Control Of Acute Inflammation, Judy D. Day, Seddik M. Djouadi, Ouassim Bara, Gregory L. Zitelli 2016 The University of Tennessee, Knoxville

Toward Adaptive Control Of Acute Inflammation, Judy D. Day, Seddik M. Djouadi, Ouassim Bara, Gregory L. Zitelli

Biology and Medicine Through Mathematics Conference

No abstract provided.


Principal Pivot Transforms Of Quasidefinite Matrices And Semidefinite Lagrangian Subspaces, Federico Poloni, Nataša Strabić 2016 University of Pisa

Principal Pivot Transforms Of Quasidefinite Matrices And Semidefinite Lagrangian Subspaces, Federico Poloni, Nataša Strabić

Electronic Journal of Linear Algebra

Lagrangian subspaces are linear subspaces that appear naturally in control theory applications, and especially in the context of algebraic Riccati equations. We introduce a class of semidefinite Lagrangian subspaces and show that these subspaces can be represented by a subset I ⊆ {1, 2, . . . , n} and a Hermitian matrix X ∈ C n×n with the property that the submatrix X II is negative semidefinite and the submatrix X I c I c is positive semidefinite. A matrix X with these definiteness properties is called I-semidefinite and it is a generalization of a quasidefinite matrix. Under mild hypotheses which hold true in ...


On The Robust Stability Of Polynomial Matrix Families, Taner Buyukkoroglu, Gokhan Celebi, Vakif Dzhafarov 2016 Anadolu University

On The Robust Stability Of Polynomial Matrix Families, Taner Buyukkoroglu, Gokhan Celebi, Vakif Dzhafarov

Electronic Journal of Linear Algebra

In this study, the problem of robust asymptotic stability of n by n polynomial matrix family, in both continuous-time and discrete-time cases, is considered. It is shown that in the continuous case the problem can be reduced to positivity of two specially constructed multivariable polynomials, whereas in the discrete-time case it is required three polynomials. A number of examples are given, where the Bernstein expansion method and sufficient conditions from [L.H. Keel and S.P. Bhattacharya. Robust stability via sign-definite decomposition. IEEE Transactions on Automatic Control, 56(1):140–145, 2011.] are applied to test positivity of the obtained ...


Procesy Cieplne I Aparaty (Lab), Wojciech Budzianowski 2016 Wroclaw University of Technology

Procesy Cieplne I Aparaty (Lab), Wojciech Budzianowski

Wojciech Budzianowski

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Optimal Control And Its Application To The Life-Cycle Savings Problem, Tracy A. Taylor 2016 Virginia Commonwealth University

Optimal Control And Its Application To The Life-Cycle Savings Problem, Tracy A. Taylor

Theses and Dissertations

Throughout the course of this thesis, we give an introduction to optimal control theory and its necessary conditions, prove Pontryagin's Maximum Principle, and present the life-cycle saving under uncertain lifetime optimal control problem. We present a very involved sensitivity analysis that determines how a change in the initial wealth, discount factor, or relative risk aversion coefficient may affect the model the terminal depletion of wealth time, optimal consumption path, and optimal accumulation of wealth path. Through simulation of the life-cycle saving under uncertain lifetime model, we are not only able to present the model dynamics through time, but also ...


Perspectives For Low-Carbon Electricity Production Until 2030: Lessons Learned From The Comparison Of Local Contexts In Poland And Portugal, Wojciech Budzianowski, Joao Gomes 2015 Wroclaw University of Technology

Perspectives For Low-Carbon Electricity Production Until 2030: Lessons Learned From The Comparison Of Local Contexts In Poland And Portugal, Wojciech Budzianowski, Joao Gomes

Wojciech Budzianowski

This paper compares perspectives for low-carbon electricity production in two EU member states - Poland and Portugal until 2030. Electricity production capacities, carbon emissions of electricity production, and production cost of electricity (COE) of Poland and Portugal are analyzed. The dilemmas of investments into low-carbon electricity production technologies relying on: (i) renewable energy sources (RES), (ii) nuclear fuel, and (iii) fossil fuels integrated with carbon capture and sequestration (CCS) are discussed. Roadmap 2050 recommends about 40% decarbonization of electricity generation by 2030 and 100% by 2050. Based on electricity production mix forecast for 2030 carbon emissions of electricity are estimated at ...


Inżynieria Chemiczna Lab., Wojciech Budzianowski 2015 Wroclaw University of Technology

Inżynieria Chemiczna Lab., Wojciech Budzianowski

Wojciech Budzianowski

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Order Form Resrb 2017, Wojciech M. Budzianowski 2015 Wroclaw University of Technology

Order Form Resrb 2017, Wojciech M. Budzianowski

Wojciech Budzianowski

No abstract provided.


Renewable Energy And Sustainable Development (Resd) Group, Wojciech M. Budzianowski 2015 Wroclaw University of Technology

Renewable Energy And Sustainable Development (Resd) Group, Wojciech M. Budzianowski

Wojciech Budzianowski

No abstract provided.


Conference Proceedings, Resrb 2016, June 22-24, 2016, Wrocław, Poland, Wojciech M. Budzianowski 2015 Wroclaw University of Technology

Conference Proceedings, Resrb 2016, June 22-24, 2016, Wrocław, Poland, Wojciech M. Budzianowski

Wojciech Budzianowski

No abstract provided.


A1, Wojciech M. Budzianowski 2015 Wroclaw University of Technology

A1, Wojciech M. Budzianowski

Wojciech Budzianowski

No abstract provided.


Abstract Template Resrb 2017, Wojciech M. Budzianowski 2015 Wroclaw University of Technology

Abstract Template Resrb 2017, Wojciech M. Budzianowski

Wojciech Budzianowski

No abstract provided.


Population Modeling For Resource Allocation And Antimicrobial Stewardship, Jason Bintz 2015 University of Tennessee - Knoxville

Population Modeling For Resource Allocation And Antimicrobial Stewardship, Jason Bintz

Doctoral Dissertations

This dissertation contains two types of population models with applications in conservation biology and epidemiology. In particular, it considers models for resource allocation and antimicrobial stewardship.

In a population model with a parabolic differential equation and density dependent growth, we study the problem of allocating resources to maximize the net benefit in the conservation of a single species while the cost of the resource allocation is minimized. The net benefit is measured in terms of maximizing population abundance and the goal of maximizing abundance is divided between the goal of maximizing the overall abundance across space and time and the ...


Mathematical Modeling And Optimal Control Of Alternative Pest Management For Alfalfa Agroecosystems, Cara Sulyok 2015 Ursinus College

Mathematical Modeling And Optimal Control Of Alternative Pest Management For Alfalfa Agroecosystems, Cara Sulyok

Mathematics Honors Papers

This project develops mathematical models and computer simulations for cost-effective and environmentally-safe strategies to minimize plant damage from pests with optimal biodiversity levels. The desired goals are to identify tradeoffs between costs, impacts, and outcomes using the enemies hypothesis and polyculture in farming. A mathematical model including twelve size- and time-dependent parameters was created using a system of non-linear differential equations. It was shown to accurately fit results from open-field experiments and thus predict outcomes for scenarios not covered by these experiments.

The focus is on the application to alfalfa agroecosystems where field experiments and data were conducted and provided ...


Optimal Control Of A Switched Autonomous System With Time Delay Arising In Fed-Batch Processes, Chongyang Liu 2015 Shandong Institute of Business and Technology

Optimal Control Of A Switched Autonomous System With Time Delay Arising In Fed-Batch Processes, Chongyang Liu

Chongyang Liu

In this paper, we propose a switched autonomous system with time delay to model the 1,3-propanediol (1,3-PD) production in a fed-batch process. Taking the switching instants and the terminal time as the control variables, we formulate a constrained time-delayed optimal control (CTOC) problem to optimize the 1,3-PD production process. Using a time-scaling transformation and parametrizing the switching instants into new parameters, an equivalent CTOC problem is investigated. A numerical solution method is then developed to seek the optimal control strategy. This method is based on the constraint transcription technique and the gradients of the cost functional together ...


A Contribution Toward Better Understanding Of Overbanking Tendency In Fixed-Wing Aircraft, Nihad E. Daidzic 2015 AAR Aerospace Consulting, LLC

A Contribution Toward Better Understanding Of Overbanking Tendency In Fixed-Wing Aircraft, Nihad E. Daidzic

Journal of Aviation Technology and Engineering

The phenomenon of overbanking tendency for a rigid-body, fixed-wing aircraft is investigated. Overbanking tendency is defined as a spontaneous, unbalanced rolling moment that keeps increasing an airplane’s bank angle in steep turns and must be arrested by opposite aileron action. As stated by the Federal Aviation Administration, the overbanking tendency may lead to a loss of control, especially in instrument meteorological conditions. It was found in this study that the speed differential over wing halves in horizontal turns indeed creates a rolling moment that achieves maximum values for bank angles between 45 and 55 degrees. However, this induced rolling ...


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