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Articles 1  30 of 221
FullText Articles in Control Theory
Equators Have At Most Countable Many Singularities With Bounded Total Angle, Pilar Herreros, Mario Ponce, J.J.P. Veerman
Equators Have At Most Countable Many Singularities With Bounded Total Angle, Pilar Herreros, Mario Ponce, J.J.P. Veerman
J. J. P. Veerman
For distinct points p and q in a twodimensional Riemannian manifold, one defines their mediatrix Lpq as the set of equidistant points to p and q. It is known that mediatrices have a cell decomposition consisting of a finite number of branch points connected by Lipschitz curves. In the case of a topological sphere, mediatrices are called equators and it can benoticed that there are no branching points, thus an equator is a topological circle with possibly many Lipschitz singularities. This paper establishes that mediatrices have the radial …
Efficient Control Methods For Stochastic Boolean Networks, David Murrugarra
Efficient Control Methods For Stochastic Boolean Networks, David Murrugarra
Annual Symposium on Biomathematics and Ecology: Education and Research
No abstract provided.
Controllability And Observability Of TimeVarying Linear Nabla Fractional Systems, Tilekbek Zhoroev
Controllability And Observability Of TimeVarying Linear Nabla Fractional Systems, Tilekbek Zhoroev
Annual Symposium on Biomathematics and Ecology: Education and Research
No abstract provided.
Relaxation And Linear Programs On A Hybrid Control Model, Héctor JassoFuentes, JoseLuis Menaldi
Relaxation And Linear Programs On A Hybrid Control Model, Héctor JassoFuentes, JoseLuis Menaldi
Mathematics Faculty Research Publications
Some optimality results for hybrid control problems are presented. The hybrid model under study consists of two subdynamics, one of a standard type governed by an ordinary differential equation, and the other of a special type having a discrete evolution. We focus on the case when the interaction between the subdynamics takes place only when the state of the system reaches a given fixed region of the state space. The controller is able to apply two controls, each applied to one of the two subdynamics, whereas the state follows a composite evolution, of continuous type and discrete type. By the ...
Some Recent Developments On ParetoOptimal Reinsurance, Wenjun Jiang
Some Recent Developments On ParetoOptimal Reinsurance, Wenjun Jiang
Electronic Thesis and Dissertation Repository
This thesis focuses on developing Paretooptimal reinsurance policy which considers the interests of both the insurer and the reinsurer. The optimal insurance/reinsurance design has been extensively studied in actuarial science literature, while in early years most studies were concentrated on optimizing the insurer’s interests. However, as early as 1960s, Borch argued that “an agreement which is quite attractive to one party may not be acceptable to its counterparty” and he pioneered the study on “fair” risk sharing between the insurer and the reinsurer. Quite recently, the question of how to strike a balance in risk sharing between an ...
Characterizing The Permanence And Stationary Distribution For A Family Of Malaria Stochastic Models, Divine Wanduku
Characterizing The Permanence And Stationary Distribution For A Family Of Malaria Stochastic Models, Divine Wanduku
Biology and Medicine Through Mathematics Conference
No abstract provided.
Stability Analysis Of A More General Class Of Systems With DelayDependent Coefficients, Chi Jin, Keqin Gu, Islam Boussaada, SilviuIulian Niculescu
Stability Analysis Of A More General Class Of Systems With DelayDependent Coefficients, Chi Jin, Keqin Gu, Islam Boussaada, SilviuIulian Niculescu
SIUE Faculty Research, Scholarship, and Creative Activity
This paper presents a systematic method to analyse the stability of systems with single delay in which the coefficient polynomials of the characteristic equation depend on the delay. Such systems often arise in, for example, life science and engineering systems. A method to analyze such systems was presented by Beretta and Kuang in a 2002 paper, but with some very restrictive assumptions. This work extends their results to the general case with the exception of some degenerate cases. It is found that a much richer behavior is possible when the restrictive assumptions are removed. The interval of interest for the ...
Traffic Signal Consensus Control, Gerardo Lafferriere
Traffic Signal Consensus Control, Gerardo Lafferriere
TREC Final Reports
We introduce a model for traffic signal management based on network consensus control principles. The underlying principle in a consensus approach is that traffic signal cycles are adjusted in a distributed way so as to achieve desirable ratios of queue lengths throughout the street network. This approach tends to reduce traffic congestion due to queue saturation at any particular city block and it appears less susceptible to congestion due to unexpected traffic loads on the street grid. We developed simulation tools based on the MATLAB computing environment to analyze the use of the mathematical consensus approach to manage the signal ...
A Decentralized Network Consensus Control Approach For Urban Traffic Signal Optimization, Gerardo Lafferriere
A Decentralized Network Consensus Control Approach For Urban Traffic Signal Optimization, Gerardo Lafferriere
TREC Project Briefs
Automobile traffic congestion in urban areas is a worsening problem that comes with significant economic and social costs. This report offers a new approach to urban congestion management through traffic signal control.
Condensed Forms For Linear PortHamiltonian Descriptor Systems, Lena Scholz
Condensed Forms For Linear PortHamiltonian Descriptor Systems, Lena Scholz
Electronic Journal of Linear Algebra
Motivated by the structure which arises in the portHamiltonian formulation of constraint dynamical systems, structure preserving condensed forms for skewadjoint differentialalgebraic equations (DAEs) are derived. Moreover, structure preserving condensed forms under constant rank assumptions for linear portHamiltonian differentialalgebraic equations are developed. These condensed forms allow for the further analysis of the properties of portHamiltonian DAEs and to study, e.g., existence and uniqueness of solutions or to determine the index. It can be shown that under certain conditions for regular portHamiltonian DAEs the strangeness index is bounded by $\mu\leq1$.
Numerical Simulations For Optimal Control Of A Cancer Cell Model With Delay, Jessica S. Lugo
Numerical Simulations For Optimal Control Of A Cancer Cell Model With Delay, Jessica S. Lugo
Murray State Theses and Dissertations
Mathematical models are often created to analyze the complicated behavior of many physical systems. One such system is that of the interaction between cancer cells, the immune system, and various treatments such as chemotherapy, radiation, and immunotherapy. Using models that depict these relationships gives researchers insight on the dynamics of this complicated system and possibly ideas for improved treatment schedules.
The model presented here gives the relationship of cancer cells in development phases with immune cells and cyclespecific chemotherapy treatment. This model includes a constant delay term in the mitotic phase. Optimal control theory is used to minimize the cost ...
LongRun Average Cost Minimization Of A Stochastic Processing System, Bowen Xie
LongRun Average Cost Minimization Of A Stochastic Processing System, Bowen Xie
Creative Components
A longrun average cost problem in stochastic control theory is addressed. This problem is related to the optimal control of a productioninventory system which is subjected to random fluctuation. The approach taken here is based on finding a smooth solution to the corresponding HamiltonJacobiBellman equation. This solution in turn is used to derive an optimal process for the above longrun average cost problem. Using the invariant distributions for positive recurrent diffusion processes, another derivation for the optimal longrun average cost is provided here.
Stabilize Chaotic Flows In A Coupled TripleLoop Thermosyphon System, Haley N. Anderson
Stabilize Chaotic Flows In A Coupled TripleLoop Thermosyphon System, Haley N. Anderson
University Honors Program Theses
This study addresses the control of chaotic dynamic systems represented by three coupled Lorenz systems. In application, Lorenz systems are commonly used to describe the onedimensional motion of fluids in a tube when heated below and cooled above. This system, in particular, reflects the fluid motion in a coupled tripleloop thermosyphon system. The goal is to derive a system of nonlinear differential equations to help us study various flow patterns governed by such a highdimensional nonlinear model numerically. Once the driving parameter (Rayleigh number) values are identified corresponding to the chaotic regime, a minimal number of proportional controllers are designed ...
Stability Conditions For Coupled Oscillators In Linear Arrays, Pablo Enrique Baldivieso Blanco, J.J.P. Veerman
Stability Conditions For Coupled Oscillators In Linear Arrays, Pablo Enrique Baldivieso Blanco, J.J.P. Veerman
Mathematics and Statistics Faculty Publications and Presentations
In this paper, we give necessary conditions for stability of flocks in R. We focus on linear arrays with decentralized agents, where each agent interacts with only a few its neighbors. We obtain explicit expressions for necessary conditions for asymptotic stability in the case that the systems consists of a periodic arrangement of two or three different types of agents, i.e. configurations as follows: ...2121 or ...321321. Previous literature indicated that the (necessary) condition for stability in the case of a single agent (...111) held that the first moment of certain coefficients governing the interactions between agents has to ...
Call For Abstracts  Resrb 2019, July 89, Wrocław, Poland, Wojciech M. Budzianowski
Call For Abstracts  Resrb 2019, July 89, Wrocław, Poland, Wojciech M. Budzianowski
Wojciech Budzianowski
No abstract provided.
Discontinuity Propagation In Delay DifferentialAlgebraic Equations, Benjamin Unger
Discontinuity Propagation In Delay DifferentialAlgebraic Equations, Benjamin Unger
Electronic Journal of Linear Algebra
The propagation of primary discontinuities in initial value problems for linear delay differentialalgebraic equations (DDAEs) is discussed. Based on the (quasi) Weierstra{\ss} form for regular matrix pencils, a complete characterization of the different propagation types is given and algebraic criteria in terms of the matrices are developed. The analysis, which is based on the method of steps, takes into account all possible inhomogeneities and history functions and thus serves as a worstcase scenario. Moreover, it reveals possible hidden delays in the DDAE and allows to study exponential stability of the DDAE based on the spectral abscissa. The new classification ...
Control Theory: The Double Pendulum Inverted On A Cart, Ian J P CroweWright
Control Theory: The Double Pendulum Inverted On A Cart, Ian J P CroweWright
Mathematics & Statistics ETDs
In this thesis the Double Pendulum Inverted on a Cart (DPIC) system is modeled using the EulerLagrange equation for the chosen Lagrangian, giving a secondorder nonlinear system. This system can be approximated by a linear firstorder system in which linear control theory can be used. The important definitions and theorems of linear control theory are stated and proved to allow them to be utilized on a linear version of the DPIC system. Controllability and eigenvalue placement for the linear system are shown using MATLAB. Linear Optimal control theory is likewise explained in this section and its uses are applied to ...
Structured Eigenvalue/Eigenvector Backward Errors Of Matrix Pencils Arising In Optimal Control, Christian Mehl, Volker Mehrmann, Punit Sharma
Structured Eigenvalue/Eigenvector Backward Errors Of Matrix Pencils Arising In Optimal Control, Christian Mehl, Volker Mehrmann, Punit Sharma
Electronic Journal of Linear Algebra
Eigenvalue and eigenpair backward errors are computed for matrix pencils arising in optimal control. In particular, formulas for backward errors are developed that are obtained under blockstructurepreserving and symmetrystructurepreserving perturbations. It is shown that these eigenvalue and eigenpair backward errors are sometimes significantly larger than the corresponding backward errors that are obtained under perturbations that ignore the special structure of the pencil.
Creating A Computational Tool To Simulate Vibration Control For Piezoelectric Devices, Ahmet Ozkan Ozer, Emma J. Moore
Creating A Computational Tool To Simulate Vibration Control For Piezoelectric Devices, Ahmet Ozkan Ozer, Emma J. Moore
PostersattheCapitol
Piezoelectric materials have the unique ability to convert electrical energy to mechanical vibrations and vice versa. This project takes a stab to develop a reliable computational tool to simulate the vibration control of a novel “partial differential equation” model for a piezoelectric device, which is designed by integrating electric conducting piezoelectric layers constraining a viscoelastic layer to provide an active and lightweight intelligent structure. Controlling unwanted vibrations on piezoelectric devices (or harvesting energy from ambient vibrations) through piezoelectric layers has been the major focus in cuttingedge engineering applications such as ultrasonic welders and inchworms. The corresponding mathematical models for piezoelectric ...
Using Canalization For The Control Of Discrete Networks, David Murrugarra
Using Canalization For The Control Of Discrete Networks, David Murrugarra
Annual Symposium on Biomathematics and Ecology: Education and Research
No abstract provided.
Identifying Combinatorially Symmetric Hidden Markov Models, Daniel Burgarth
Identifying Combinatorially Symmetric Hidden Markov Models, Daniel Burgarth
Electronic Journal of Linear Algebra
A sufficient criterion for the unique parameter identification of combinatorially symmetric Hidden Markov Models, based on the structure of their transition matrix, is provided. If the observed states of the chain form a zero forcing set of the graph of the Markov model, then it is uniquely identifiable and an explicit reconstruction method is given.
On The WellPosedness And Global Boundary Controllability Of A Nonlinear Beam Model, Jessie Jamieson
On The WellPosedness And Global Boundary Controllability Of A Nonlinear Beam Model, Jessie Jamieson
Dissertations, Theses, and Student Research Papers in Mathematics
The theory of beams and plates has been long established due to works spanning many fields, and has been explored through many investigations of beam and plate mechanics, controls, stability, and the wellposedness of systems of equations governing the motions of plates and beams. Additionally, recent investigations of flutter phenomena by Dowell, Webster et al. have reignited interest into the mechanics and stability of nonlinear beams. In this thesis, we wish to revisit the seminal wellposedness results of Lagnese and Leugering for the one dimensional, nonlinear beam from their 1991 paper, "Uniform stabilization of a nonlinear beam by nonlinear boundary ...
On Some Ergodic Impulse Control Problems With Constraint, J. L. Menaldi, Maurice Robin
On Some Ergodic Impulse Control Problems With Constraint, J. L. Menaldi, Maurice Robin
Mathematics Faculty Research Publications
This paper studies the impulse control of a general Markov process under the average (or ergodic) cost when the impulse instants are restricted to be the arrival times of an exogenous process, and this restriction is referred to as a constraint. A detailed setting is described, a characterization of the optimal cost is obtained as a solution of an HJB equation, and an optimal impulse control is identified.
Curve Tracking Control Under State Constraints And Uncertainties, Robert Kelly Sizemore
Curve Tracking Control Under State Constraints And Uncertainties, Robert Kelly Sizemore
LSU Doctoral Dissertations
We study a class of steering control problems for freemoving particles tracking a curve in the plane and also in a threedimensional environment, which are central problems in robotics. In the twodimensional case, we provide adaptive controllers for curve tracking under unknown curvatures and control uncertainty. The system dynamics include a nonlinear dependence on the curvature, and are coupled with an estimator for the unknown curvature to form the augmented error dynamics. This nonlinear dependence puts our curvature identification objective outside the scope of existing adaptive tracking and parameter identification results that were limited to cases where the unknown parameters ...
Backstepping And Sequential Predictors For Control Systems, Jerome Avery Weston
Backstepping And Sequential Predictors For Control Systems, Jerome Avery Weston
LSU Doctoral Dissertations
We provide new methods in mathematical control theory for two significant classes of control systems with time delays, based on backstepping and sequential prediction. Our bounded backstepping results ensure global asymptotic stability for partially linear systems with an arbitrarily large number of integrators. We also build sequential predictors for timevarying linear systems with timevarying delays in the control, sampling in the control, and timevarying measurement delays. Our bounded backstepping results are novel because of their use of converginginputconvergingstate conditions, which make it possible to solve feedback stabilization problems under input delays and under boundedness conditions on the feedback control. Our ...
DiscreteTime Hybrid Control In Borel Spaces, Héctor JassoFuentes, JoséLuis Menaldi, Tomás PrietoRumeau
DiscreteTime Hybrid Control In Borel Spaces, Héctor JassoFuentes, JoséLuis Menaldi, Tomás PrietoRumeau
Mathematics Faculty Research Publications
A discretetime hybrid control model with Borel state and action spaces is introduced. In this type of models, the dynamic of the system is composed by two subdynamics affecting the evolution of the state; one is of a standardtype that runs almost every time and another is of a specialtype that is active under special circumstances. The controller is able to use two different type of actions, each of them is applied to each of the two subdynamics, and the activations of these subdynamics are possible according to an activation rule that can be handled by the controller. The aim ...
NearOptimal Control Of Switched Systems With ContinuousTime Dynamics Using Approximate Dynamic Programming, Tohid Sardarmehni
NearOptimal Control Of Switched Systems With ContinuousTime Dynamics Using Approximate Dynamic Programming, Tohid Sardarmehni
Mechanical Engineering Research Theses and Dissertations
Optimal control is a control method which provides inputs that minimize a performance index subject to state or input constraints [58]. The existing solutions for finding the exact optimal control solution such as Pontryagin’s minimum principle and dynamic programming suffer from curse of dimensionality in high order dynamical systems. One remedy for this problem is finding near optimal solution instead of the exact optimal solution to avoid curse of dimensionality [31]. A method for finding the approximate optimal solution is through Approximate Dynamic Programming (ADP) methods which are discussed in the subsequent chapters.
In this dissertation, optimal switching in ...
Rotordynamic Analysis Of Theoretical Models And Experimental Systems, Cameron R. Naugle
Rotordynamic Analysis Of Theoretical Models And Experimental Systems, Cameron R. Naugle
Master's Theses and Project Reports
This thesis is intended to provide fundamental information for the construction and
analysis of rotordynamic theoretical models, and their comparison the experimental
systems. Finite Element Method (FEM) is used to construct models using Timoshenko
beam elements with viscous and hysteretic internal damping. Eigenvalues
and eigenvectors of state space equations are used to perform stability analysis, produce
critical speed maps, and visualize mode shapes. Frequency domain analysis
of theoretical models is used to provide Bode diagrams and in experimental data
full spectrum cascade plots. Experimental and theoretical model analyses are used
to optimize the control algorithm for an Active Magnetic Bearing ...
Controllability And Observability Of The Discrete Fractional Linear StateSpace Model, Duc M. Nguyen
Controllability And Observability Of The Discrete Fractional Linear StateSpace Model, Duc M. Nguyen
Masters Theses & Specialist Projects
This thesis aims to investigate the controllability and observability of the discrete fractional linear timeinvariant statespace model. First, we will establish key concepts and properties which are the tools necessary for our task. In the third chapter, we will discuss the discrete statespace model and set up the criteria for these two properties. Then, in the fourth chapter, we will attempt to apply these criteria to the discrete fractional model. The general flow of our objectives is as follows: we start with the firstorder linear difference equation, move on to the discrete system, then the fractional difference equation, and finally ...
Some Insights Into The Migration Of Double Imaginary Roots Under Small Deviation Of Two Parameters, Dina Alina Irofti, Keqin Gu, Islam Boussaada, SilviuIulian Niculescu
Some Insights Into The Migration Of Double Imaginary Roots Under Small Deviation Of Two Parameters, Dina Alina Irofti, Keqin Gu, Islam Boussaada, SilviuIulian Niculescu
SIUE Faculty Research, Scholarship, and Creative Activity
This paper studies the migration of double imaginary roots of the systems’ characteristic equation when two parameters are subjected to small deviations. The proposed approach covers a wide range of models. Under the least degeneracy assumptions, we found that the local stability crossing curve has a cusp at the point that corresponds to the double root, and it divides the neighborhood of this point into an Ssector and a Gsector. When the parameters move into the Gsector, one of the roots moves to the right halfplane, and the other moves to the left halfplane. When the parameters move into the ...