John M. Davis

John M. Davis is a Professor and Department Chair in the Department of Mathematics at Baylor University. His research focuses on dynamical systems, differential equations, and control theory, particularly on time scales. He has secured significant funding from the National Science Foundation and advised numerous graduate students in mathematics.

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

His research spans ordinary and partial differential equations, hybrid dynamical systems, and nonlinear control theory, with applications to switched and stochastic systems. Recent publications highlight advancements in stability analysis and time scales-based control.

Key trends in his work include Lyapunov stability, Laplace transforms on time scales, and adaptive sampling techniques. His contributions to stochastic and deterministic control systems have been widely cited.

Scientific Awards:

• 2009 Texas Section of the Mathematical Association of America Distinguished Teaching Award

Advising and Grants: He has directed six Ph.D./M.S. students and received two NSF grants (Real-Time Distributed Control Networks, Mu-Dynamics on Time Scales) totaling over $450,000. His research group collaborates with engineers on time scales-based stability criteria.