Research
Ph.D. Auburn University, 1998 Phi Beta Kappa
Areas of specialization:
- ordinary & partial differential equations
- discrete & continuous dynamical systems
- stability & control theory for hybrid dynamical systems (time scales)
- applications to control and signal processing
- nonlinear analysis
Research Group:
- Dr. Ian A. Gravagne, Associate Professor of Electrical and Computer Engineering, Baylor University
- Dr. Robert J. Marks II, Distinguished Professor of Electrical and Computer Engineering, Baylor University
Graduate students directed (all mathematics):
- Alice A. Ramos, Ph.D. (August 2009) DONE!
Thesis: Stability of Hybrid Dynamic Systems: Analysis and Design - Billy J. Jackson, Ph.D. (August 2007)
Thesis: A General Linear Systems Theory on Time Scales: Transforms, Stability, and Control - Jeffrey J. DaCunha, Ph.D. (August 2004)
Thesis: Lyapunov Stability and Floquet Theory for Nonautonomous Linear Dynamic Systems on Time Scales - Matthew K. Brammer, M.S. (August 2003)
Thesis: Nonlinear Dynamics and Bifurcations in the Belousov-Zhabotinskii Reaction
ECE graduate students affiliated with the research group:
- John Miller, M.S.E.C.E. (August 2009) DONE!
Thesis: Stability of Non-Diagonalizable Switched Linear Systems on Time Scales - Ben Allen, M.S.E.C.E. (December 2007)
Thesis: Experimental Investigation of a Time Scales Linear Feedback Control Theorem