Optimal Control Of Vaccination Rate In An Epidemiological Model Of Clostridium Difficile Transmission, 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, 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, 2016 Eastern Mediterranean University - Turkey

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

*Mathematics*

No abstract provided.

Clustering-Based Robot Navigation And Control, 2016 University of Pennsylvania

#### Clustering-Based Robot Navigation And Control, Omur Arslan

*Departmental Papers (ESE)*

In robotics, it is essential to model and understand the topologies of configuration spaces in order to design provably correct motion planners. The common practice in motion planning for modelling configuration spaces requires either a global, explicit representation of a configuration space in terms of standard geometric and topological models, or an asymptotically dense collection of sample configurations connected by simple paths, capturing the connectivity of the underlying space. This dissertation introduces the use of clustering for closing the gap between these two complementary approaches. Traditionally an unsupervised learning method, clustering offers automated tools to discover hidden intrinsic structures in ...

Self-Correcting Kelly Strategies For Skeptical Traders, 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, 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.

Voronoi-Based Coverage Control Of Heterogeneous Disk-Shaped Robots, 2016 University of Pennsylvania

#### Voronoi-Based Coverage Control Of Heterogeneous Disk-Shaped Robots, Omur Arslan, Daniel E. Koditschek

*Departmental Papers (ESE)*

In distributed mobile sensing applications, networks of agents that are heterogeneous respecting both actuation as well as body and sensory footprint are often modelled by recourse to power diagrams — generalized Voronoi diagrams with additive weights. In this paper we adapt the body power diagram to introduce its “free subdiagram,” generating a vector field planner that solves the combined sensory coverage and collision avoidance problem via continuous evaluation of an associated constrained optimization problem. We propose practical extensions (a heuristic congestion manager that speeds convergence and a lift of the point particle controller to the more practical differential drive kinematics) that ...

Exact Robot Navigation Using Power Diagrams, 2016 University of Pennsylvania

#### Exact Robot Navigation Using Power Diagrams, Omur Arslan, Daniel E. Koditschek

*Departmental Papers (ESE)*

We reconsider the problem of reactive navigation in sphere worlds, i.e., the construction of a vector field over a compact, convex Euclidean subset punctured by Euclidean disks, whose flow brings a Euclidean disk robot from all but a zero measure set of initial conditions to a designated point destination, with the guarantee of no collisions along the way. We use power diagrams, generalized Voronoi diagrams with additive weights, to identify the robot’s collision free convex neighborhood, and to generate the value of our proposed candidate solution vector field at any free configuration via evaluation of an associated convex ...

Principal Pivot Transforms Of Quasidefinite Matrices And Semidefinite Lagrangian Subspaces, 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, 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), 2016 Wroclaw University of Technology

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

A1, 2015 Wroclaw University of Technology

Abstract Template Resrb 2017, 2015 Wroclaw University of Technology

#### Abstract Template Resrb 2017, Wojciech M. Budzianowski

*Wojciech Budzianowski*

No abstract provided.

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

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

*Wojciech Budzianowski*

No abstract provided.

Order Form Resrb 2017, 2015 Wroclaw University of Technology

#### Order Form Resrb 2017, Wojciech M. Budzianowski

*Wojciech Budzianowski*

No abstract provided.

Renewable Energy And Sustainable Development (Resd) Group, 2015 Wroclaw University of Technology

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

*Wojciech Budzianowski*

No abstract provided.

Inżynieria Chemiczna Lab., 2015 Wroclaw University of Technology

Population Modeling For Resource Allocation And Antimicrobial Stewardship, 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 ...