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John Davis

John M. Davis

Contact Information:
Department of Mathematics
Baylor University
One Bear Place #97328
Waco, TX 76798-7328

Office: Sid Richardson 314
Link to office hours

Phone: (254) 710-4883

FAX: (254) 710-3569


Personal Website

Professor of Mathematics

Ph.D., Auburn University, 1998 Phi Beta Kappa

Academic Interests and Research:
Ordinary and partial differential equations, interplay between discrete and continuous (hybrid) dynamical systems, nonlinear systems theory, adaptive control theory, applied mathematics.

Research Funding:

NSF Grant EHS #0410685 Real-Time Distributed Control Networks: Dynamic Bandwidth Allocation via Adaptive Sampling, 2004-2008. $311,000

NSF Grant CMMI #0726996 Mu-Dynamics on Time Scales: Adaptive Time Domains for Dynamical Systems, 2007-2010. $143,952

Selected (Recent) Publications:

R.J. Marks II, I.A. Gravagne, J.M. Davis, "A generalized Fourier transform and convolution on time scales," Journal of Mathematical Analysis and Applications 340 (2008), 901�919.

J.M. Davis, I.A. Gravagne, B.J. Jackson, R.J. Marks II, A.A. Ramos, "The Laplace transform on time scales revisited," Journal of Mathematical Analysis and Applications 332 (2007), 1291�1307.

R.J. Marks II, I.A. Gravagne, J.M. Davis, and J.J. DaCunha, "Nonregressivity in switched linear circuits and mechanical systems," Mathematical and Computer Modelling 43 (2006), 1383�1392.

Q. Sheng, M. Fadag, J. Henderson, and J.M. Davis, "An exploration of combined dynamic derivatives on time scales and their applications," Nonlinear Analysis 7 (2006), 395�413.

I.A. Gravagne, J.M. Davis, R.J. Marks II, "How deterministic must a real-time controller be?" Proceedings of 2005 IEEE/RSJ International Conference on Intelligent Robots and Systems, (IROS 2005), Alberta, Canada, Aug. 2005, 3856�3861.

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:

Alice A. Ramos, Ph.D. student currently working with me

Billy J. Jackson, Ph.D. 2007
Thesis: A General Linear Systems Theory on Time Scales: Transforms, Stability, and Control

Jeffrey J. DaCunha, Ph.D. 2004
Thesis: Lyapunov Stability and Floquet Theory for Nonautonomous Linear Dynamic Systems on Time Scales

Matthew K. Brammer, M.S. 2003
Thesis: Nonlinear Dynamics and Bifurcations in the Belousov-Zhabotinskii Reaction