Department of Mathematics and Philosophy

Dinesh Ekanayake

Dinesh Ekanayake
Graduate Advisor, Department of Mathematics and Philosophy

Associate Professor

Education:

Ph.D., Texas Tech University (Applied Mathematics)

M.S., Texas Tech University (Applied Mathematics)

B.S., University of Peradeniya, Sri Lanka (Electrical Engineering)

Contact Information:

(309) 298-1239 
463B Morgan Hall
db-ekanayake@wiu.edu

Fall 2017 Office Hours: 

On Sabbatical

Fall 2017 Courses:

On Sabbatical

Personal Web Page:

http://dekanayake.weebly.com/

Research Interests:

Research:  My research areas are, broadly, dynamical systems, control, and optimization applications. More specifically, my focus is in hysteresis modeling, control of hysteretic systems and wildlife disease dynamics and control. My aim is to relate advances in control methods to complex and hysteretic systems for engineering and biological applications. 

Research with graduate students: I am interested in working with students who have a strong desire to pursue a Ph.D. in applied mathematics after their M.S. degree at WIU.

Research with undergraduate students:  I would guide students interested in applied mathematics research projects that would include modeling and control problems rising from interdisciplinary areas such as physics, finance, and biology. Students would study one or more aspect of modeling and control approaches, such as investigating possible models, studying existence of solutions, and observing the effect of control functions on solutions. Students would be expected to study relevant literature, participate in analyzation and simulation, and write a report discussing the findings. The goal of such research would be for students to learn to apply their mathematical skills to complex real-life problems.

Selected Publications:

  • Ekanayake, A.J., & Ekanayake, D.B. (2015).  A seasonal SIR metapopulation model with an Allee effect with application to controlling plague in prairie dog colonies. Journal of Biological Dynamics, Volume 9, Issue Sup. 1, pp. 262-290.
  • Ekanayake, D.B., & Iyer, R. (2015). Stabilization of a system with saturating, non-monotone hysteresis and frequency dependent power losses by a PD controller. Journal of Physics: Conference Series, Vol. 585, No. 1,  012006 (pp.1-10).
  • Ekanayake, D.B., & Iyer, R. (2013). Proportional derivative control for hysteretic systems. SIAM Journal on Control and Optimization, Vol. 51, No. 5, pp. 3415-3433.
  • Ekanayake, D.B. (2013). Robust constrained trajectory tracking for magnetically controlled linear actuators with hysteresis, IEEE ACC, pp. 3585 - 3590.
  • Ekanayake, D.B., & Iyer, R.V. (2008). Asymptotic behavior of a low dimensional model for magnetostriction for periodic inputs. Physica B: Condensed Matter, Volume 403, Issues 2-3, pp. 257-260.
  • Ekanayake, D.B., & Iyer, R.V. (2008). Study of a play-like operator. Physica B: Condensed Matter, Volume 403, Issues 2-3, pp. 456-459.
  • Iyer, R.V., & Ekanayake, D.B. (2008). Extension of hysteresis operators of Preisach type to real, Lebesgue measurable functions. Physica B: Condensed Matter, Volume 403, Issues 2-3, pp. 437-439.
  • Ekanayake D.B., Iyer, R.V., & Dayawansa, W.P. (2007). Wide band modeling and parameter identification for magnetostrictive actuators. IEEE ACC, pp. 4321 - 4326.