Curriculum Vitae.

Dylan R. S. Poulsen, Ph.D.

Research Interests

Dynamic Equations on Time Scales, Linear Systems, Control Theory, Stochastic Processes, Matrix Equations, Fourier Analysis

Education

2010-2015
Baylor University, Waco, TX

Ph.D. Mathematics, May 2015 - Thesis Title: Stability and Control on Stochastically Generated Time Scales - Advisor: John M. Davis, Ph.D

2006-2010
University of Puget Sound, Tacoma, WA

B.S., Mathematics, May 2010 - Summa Cum Laude - Phi Beta Kappa

Publications

Journal Articles

Tom Cuchta, Dylan Poulsen, and Nick Wintz, Linear Quadratic Tracking and Continuous Conformable Derivatives, European Journal of Control. 72 (2023) 100808.
Billy J. Jackson, John M. Davis, and Dylan Poulsen, A Polar Representation of the Hilger Complex Plane, International Journal of Difference Equations 15 (2020) 419-427.
Dylan Poulsen, Michael Defoort, and Mohamed Djemai, Mean Square Consensus of Double-Integrator Multi-Agent Systems Under Intermittent Control: A Stochastic Time Scale Approach, Journal of the Franklin Institute 356 (2019) 9076-9094.
Dylan Poulsen and Nick Wintz, The Kalman Filter on Stochastic Time Scales, Nonlinear Analysis: Hybrid Systems 33 (2019) 151-161.
Dylan Poulsen, John M. Davis, and Ian A. Gravagne, Mean Square Stability for Systems on Stochastically Generated Discrete Time Scales, Nonlinear Analysis: Hybrid Systems 31 (2019) 41-55.
Dylan Poulsen, John M. Davis, and Ian A. Gravagne, The Geometry of the Region of Uniform Exponential Stability for Linear Time Invariant Dynamic Equations on Time Scales, DCDIS Series A: Mathematical Analysis 25 (2018) 159-173.

Peer-Reviewed Conference Publications

Dylan Poulsen, Michael Defoort, and Mohamed Djemai, Observer-Based Output Feedback Consensus Protocol for Double-Integrator Multi-Agent Systems Under Intermittent Sampled Position Measurements, IFAC-PapersOnLine. IFAC, 2020.
Dylan Poulsen, John M. Davis, and Ian A. Gravagne, Optimal Control on Stochastic Time Scales, IFAC-PapersOnLine. IFAC, 2017.
Dylan Poulsen, Shaun Ramsey, and Nathaniel Schwartz, The Emergence of Chaos on Non-Uniformly Timed Systems, 2017 51st Annual Conference on Information Sciences and Systems (CISS). IEEE, 2017.
Dylan Poulsen, Ian A. Gravagne, and John M. Davis, Numeric and Analytic Investigations of Mean-Square Exponential Stability for Stochastically Timed Systems, 2015 Dynamic Systems and Control Conference. ASME, 2015.
Matthew Mosley, Ian A. Gravagne, John M. Davis, and Dylan Poulsen, Experimental Investigation of a Time Scales-Based Stability Criterion Over Finite Time Horizons, 2015 Dynamic Systems and Control Conference. ASME, 2015.
Dylan Poulsen, John M. Davis, and Ian A. Gravagne, Is Deterministic Real Time Control Always Necessary? A Time Scales Perspective, 2014 Dynamic Systems and Control Conference. ASME, 2014.
Dylan Poulsen, John M. Davis, and Ian A. Gravagne, Observer Based Feedback Controllers on Stochastic Time Scales, 2013 45th Southeastern Symposium on System Theory (SSST). IEEE, 2013.
Dylan Poulsen, John M. Davis, and Ian A. Gravagne, Stochastic Time Scales: Quadratic Lyapunov Functions and Probabilistic Regions of Stability, 2013 45th Southeastern Symposium on System Theory (SSST). IEEE, 2013.
Ian A. Gravagne, John M. Davis, and Dylan Poulsen, Time Scale-Based Observer Design for Battery State-of-Charge Estimation, 2012 44th Southeastern Symposium on System Theory (SSST). IEEE, 2012.
Dylan Poulsen, Ian A. Gravagne, John M. Davis, and Robert J. Marks, On the Stability of Mu-Varying Dynamic Equations on Stochastically Generated Time Scales, 2012 44th Southeastern Symposium on System Theory (SSST). IEEE, 2012.
Dylan Poulsen, Michael Z. Spivey, and Robert J. Marks, The Poisson Process and Associated Probability Distributions on Time Scales, 2011 43rd Southeastern Symposium on System Theory (SSST). IEEE, 2011.

National Grants

Summer 2024 DSC: The Upper Eastern Shore Data Science Corps (UESDSC) at Washington College: Developing Data Science Skills in Service to Community in Rural Maryland, Submitted, $506,793.

Institutional Grants

Summer 2020 Lowering the Barrier to Entry in Probability via Coding and Simulation Labs, Cromwell Center for Teaching and Learning Innovative Pedagogy Grant, Funded, $2,000.
Summer 2018 The Application of Stochastic Time Scales to Control Engineering, Faculty Enhancement Grant, Funded, $1,008.
Spring 2017 Differential Calculus, Cromwell Center for Teaching and Learning Innovative Pedagogy Grant, Funded, $5,000 (Co-PI with Nathaniel Schwartz).

Presentations

Invited Colloquium Speaker

Jan 2022 Christopher Newport University Department of Mathematics Colloquium, Finding Mathematical Joy Cutting Onions.
June 2018 University of Valenciennes Seminaire ROC du Departement Auto, Stability of Linear Systems Subject to Stochastic Timing.
Mar 2018 United States Naval Academy Applied Mathematics Seminar, Engineering in an Imperfect World.
Sept 2016 Christopher Newport University Department of Mathematics Colloquium, Engineering in an Imperfect World.

Conference Speaker

July 2020 IFAC World Congress, Berlin, Germany (Virtual), Observer-Based Output Feedback Consensus Protocol for Double-Integrator Multi-Agent Systems Under Intermittent Sampled Position Measurements.
Jan 2019 Joint Mathematics Meetings, Baltimore, MD, Consensus of Multi-Agent Systems: A Time Scales Approach.
July 2017 IFAC World Congress, Toulouse, France, Optimal Control on Stochastic Time Scales.
Jan 2016 Joint Mathematics Meetings, Seattle, WA, Can an Unstable Control System Be Stabilized By Timing Noise?
Nov 2015 MAA MD-DC-VA Sectional Meeting, Saint Marys City, MD, Can an Unstable Control System Be Stabilized By Timing Noise?
Oct 2015 ASME 2015 Dynamic Systems and Control Conference, Columbus, OH, Numeric and Analytic Investigations of Mean-Square Exponential Stability for Stochastically Timed Systems.
Jan 2015 Joint Mathematics Meetings, San Antonio, TX, The Geometry of the Region of Uniform Exponential Stability on an Arbitrary Time Scale.
Oct 2014 ASME 2014 Dynamic Systems and Control Conference, San Antonio, TX, Is Deterministic Real Time Control Always Necessary? A Time Scales Perspective.
Jan 2014 Joint Mathematics Meetings, Baltimore, MD, Stability of Markov Chains: A Time Scales Viewpoint with Applications to Control.
Oct 2013 Central Section Fall Meeting of the AMS, St. Louis, MO, Stability of Markov Chains: A Time Scales Viewpoint with Applications to Control.
Mar 2013 Southeastern Symposium on Systems Theory, Waco, TX:
1. Stochastic Time Scales: Quadratic Lyapunov Functions and Probabilistic Regions of Stability.
2. Observer Based Feedback Controllers on Stochastic Time Scales.
Mar 2012 Southeastern Symposium on Systems Theory, Jacksonville, FL:
1. On the Stability of Mu-Varying Dynamic Equations on Stochastically Generated Time Scales.
2. Time Scale-Based Observer Design for Battery State-of-Charge Estimation.
Mar 2011 Southeastern Symposium on Systems Theory, Auburn, AL, The Poisson Process and Associated Probability Distributions on Time Scales.
Oct 2009 Central Section Fall Meeting of the AMS, Waco, TX, Coupled Conditions for Asymptotic Equivalence on Time Scales.
Oct 2009 INFORMS Annual National Meeting, San Diego, CA, The Optimal Tilt Angle of Solar Panels.
Aug 2009 MAA MathFest, Portland, OR, The Optimal Tilt Angle of Solar Panels.
June 2009 Rocky Mountain Mathematics Consortium, Laramie, WY, Coupled Conditions for Asymptotic Equivalence on Time Scales.
Apr 2009 MAA Pacific Northwest Sectional Meeting, Ellensburg, WA, The Asymptotic Behavior of Dynamic Equations on Time Scales.

Conference Poster Presentations

Mar 2019 American Association for Cancer Research Annual Meeting 2019, Rapid Fluorescence Based Assessment of RNA Integrity Quality Using Machine Learning (presented by Scott Clarke).

Teaching Experience

2024-present
Washington College John W. Allender Associate Professor of Ethical Data Science

2021-2024
Washington College Associate Professor of Mathematics

2015-2021
Washington College Assistant Professor of Mathematics

Courses Designed and Managed at Washington College

Four Sections MAT 109 - Statistics
Twelve Sections MAT 111 - Differential Calculus
Twelve Sections MAT 112 - Integral Calculus
Two Sections MAT 199 - History of Mathematics
Two Sections MAT 210 - Multivariable Calculus
One Section CSI 220 - Introduction to Data Science
Seven Sections MAT 280 - Linear Algebra
Five Sections MAT 310 - Differential Equations
Two Sections MAT 320 - Probability Theory
One Section MAT 392 and 492 - Junior and Senior Math Seminar
One Section MAT 394 - Partial Differential Equations
Three Sections MAT 470 - Real Analysis

Senior Capstone Projects Mentored at Washington College

2022-2023 Sneha Dixit, The Fourier Transform and Applications.
2022-2023 Seyed Marjaei, Propeller Design and Dynamic Mode Decomposition.
2022 Rachel Chatfield, Mathematical Scaling and Use of Organ-on-a-Chip for Disease Modeling and Drug Testing.
2022 Sam Hickman, LQR Control of a Reaction Wheel Inverted Pendulum.
2021-2022 Evan McCarthy, Power System Automation for Electric Race Boats.
2021-2022 Chloe Sass, The Discrete Kalman Filter.
2021-2022 Kennett Vail-Rojas, On the Interactions of Black Holes and Dark Matter: Primordial Black Holes as Potential Dark Matter Constituents.
2020-2021 Brendan Farrell, A Review of Superconductivity.
2019-2020 Nicole Albrecht, An Introduction to Compartmental Models of Infectious Disease.
2019-2020 Patrick Berry, Quantum Computing.
2019 Gauge Burnett, Fantastic Knots and How to Tie Them.
2018-2019 Simon Checknoff, Using Lie Symmetries to Solve Differential Equations.
2018-2019 Molly Flowers, An Experimental Study of Time-Reversal Acoustics.
2018-2019 Kevin McCormick, Optimal Control Theory: Dynamic Programming of Solar Panel Consumption.
2018-2019 Sheng Mi, Brownian Motion and Stock Prices.
2017-2018 Yilin Yang, The Application of Mathematics in the Game Lights Out.
2017-2018 Alexandra Young, Female Labor Force Participation Rate Effects on Births.
2017-2018 Courtney Rainey, Exploding Dots and Division Rules.
2016-2017 Dimitri Kaliakin, Assessment of Kellers Mathematical Model for Optimal Velocity in a Footrace.
2016-2017 Ricardo Wu, Model of Business Risk Management.
2015-2016 Bryten Ives, Theory and Actuarial Applications of Stochastic Processes.
2015-2016 Maisie Newman, Efficiently Modeling the Control of West Nile Virus.
2015-2016 Laurel Jones, Exploring Mathematical Models of the Bacterium Clostridium difficile.

2011-2015
Baylor University Teacher of Record, Department of Mathematics

Courses Managed at Baylor University

Three Sections MTH 1320 - Precalculus Mathematics
One Section MTH 1321 - Calculus I
One Section MTH 1308 - Precalculus for Business Students
One Section MTH 1309 - Calculus for Business Students

Mentor for Undergraduate Research at Baylor University

Spring 2013 Brooklyn George, On the Stability Region for Dynamic Equations on the Cantor Set.
2014-2015 Matthew Mosley, Applications of Dynamic Equations on Time Scales (Honors Thesis in Engineering).

Honors

Teaching Awards

May 2015 Baylor University Department of Mathematics Outstanding Graduate Student Teaching Award.
Jan 2023 Cromwell Award for Innovation in Teaching, Cromwell Center for Teaching and Learning, Washington College.

Professional Development Fellowships

June 2015 - August 2016 Project NExT Fellow.

Honor Societies

Fall 2015 Pi Mu Epsilon, Iota of Maryland, Charter Faculty Member.
Spring 2010 Phi Beta Kappa, Delta of Washington.

Service to the Profession

Chairing Sessions

Joint Mathematics Meetings, Baltimore, MD Jan 2014, AMS Session on Game Theory and Computing.
Joint Mathematics Meetings, San Antonio, TX Jan 2015, AMS Session on Game Theory, Economics, Control Theory, and Information.
Joint Mathematics Meetings, Seattle, WA Jan 2016, AMS Session on Computer Science, Information, Control Theory, and Economics.

Peer Review

Nonlinear Analysis: Hybrid Systems (Four Reviews, Outstanding Reviewer Status)
Journal of the Franklin Institute (Two Reviews, Recognized Reviewer Status)
IFAC World Congress 2020 (Two Reviews)
Advances in Difference Equations (One Review)

Service to Washington College

Fall 2023, Fall 2024 - Present Member, Planning Committee.
Fall 2021 - Spring 2024 Chair, Department of Mathematics and Computer Science.
Fall 2021 - Spring 2023 Member, Tenure and Promotion Committee.
Fall 2019 - Fall 2021 Member, Assessment Committee.
Fall 2017 - Fall 2019 Faculty Advisor to the Student Government Association.
Fall 2017 - Fall 2019 Chair, Student Life Committee.
Fall 2016 - Spring 2018 Member, Cromwell CTL Advisory Board.
2015, 2017, 2018, 2021, 2023 Member, Search Committee for the Department of Mathematics and Computer Science.