## Publications

Research Metrics:

- MathSciNet subscribers can access reviews of my publications here.
- Citation Data (as of October 2016):
- Google Scholar: 60 papers covered; 1410 citations; h-index=19; i10-index=30.
- MathSciNet citation data: 41 papers reviewed; 511 citations by 312 unique authors; h-index=13.

Selected (recent) publications:

- D. Poulsen, J.M. Davis, Optimal control on stochastic time scales, under review.
- J.M. Davis, G. Eisenbarth, Singular value conditions for stability of dynamic switched systems,
*Journal of Mathematical Analysis and Applications*, accepted 2016 (in press). - M. Mosley, I. Gravagne, J. Davis, Experimental investigation of a time scales-based stability criterion over finite time horizons,
*Proceedings of ASME Dynamic Systems and Control*, Columbus, OH, 2015. - D. Poulsen, I. Gravagne, J. Davis, Numeric and analytic investigations of mean-square exponential stability for stochastically timed systems,
*Proceedings of ASME Dynamic Systems and Control*, Columbus, OH, 2015. - D. Poulsen, I. Gravagne, J. Davis, Is deterministic real-time control always necessary? A time scales perspective,
*Proceedings of ASME Dynamic Systems and Control*, San Antonio, TX, 2014. - G. Eisenbarth, J.M. Davis, I. Gravagne, Stability of simultaneously triangularizable switched systems on hybrid domains,
*Electronic Journal of Differential Equations***2014**(2014), 1-19. - G. Eisenbarth, J.M. Davis, I.A. Gravagne, On common quadratic Lyapunov functions for dynamic normal switched systems,
*IEEE Proceedings of the 45th Meeting of the Southeastern Symposium on System Theory*, Baylor University, March 11, 2013. - D. Poulsen, J.M. Davis, I.A. Gravagne, Observer based feedback controllers on stochastic time scales,
*IEEE Proceedings of the 45th Meeting of the Southeastern Symposium on System Theory*, Baylor University, March 11, 2013. - D. Poulsen, J.M. Davis, I.A. Gravagne, Stochastic time scales: quadratic Lyapunov functions and probabilistic regions of stability,
*IEEE Proceedings of the 45th Meeting of the Southeastern Symposium on System Theory*, Baylor University, March 11, 2013. - I.A. Gravagne, J.M. Davis, D. Poulsen, Time scale-based observer design for battery state-of-charge estimation,
*IEEE Proceedings of the 44th Meeting of the Southeastern Symposium on System Theory*, University of North Florida, March 11-13, 2012. - D. Poulsen, J.M. Davis, I.A. Gravagne, R.J. Marks II, On the stability of mu-varying dynamic equations on stochastically generated time scales,
*IEEE Proceedings of the 44th Meeting of the Southeastern Symposium on System Theory*, University of North Florida, March 11-13, 2012. - J.J. DaCunha, J.M. Davis, A unified Floquet theory for discrete, continuous, and hybrid periodic linear systems,
*Journal of Differential Equations***251**(2011), 2987-3027. - J.M. Davis and G. Eisenbarth, The
*Positivstellensatz*and nonexistence of common quadratic Lyapunov functions,*IEEE Proceedings of the 43rd Meeting of the Southeastern Symposium on System Theory*, Auburn University, March 14-16, 2011. - J.M. Davis, I.A. Gravagne, B.J. Jackson, R.J. Marks II, Regions of exponential stability for LTI systems on nonuniform domains,
*IEEE Proceedings of the 43rd Meeting of the Southeastern Symposium on System Theory*, Auburn University, March 14-16, 2011. - I.A. Gravagne, E. Johns, J.M. Davis, Switched linear systems on time scales with relaxed commutativity constraints,
*IEEE Proceedings of the 43rd Meeting of the Southeastern Symposium on System**Theory*, Auburn University, March 14-16, 2011. - B.J. Jackson, J.M. Davis, I.A. Gravagne, R.J. Marks II, Linear state feedback stabilization on time scales,
*International Journal of Dynamical Systems and Differential Equations***3**(2011), 163–177. arXiv:0910.3034v1 [math.OC] - J.M. Davis, I.A. Gravagne, B.J. Jackson, R.J. Marks II, State feedback stabilization of linear time-varying systems on time scales,
*IEEE Proceedings of the 42nd Meeting of the Southeastern Symposium on System Theory*, University of Texas at Tyler, March 7-9, 2010, p. 9-14. - J.M. Davis, I.A. Gravagne, R.J. Marks II, J.E. Miller, A.A. Ramos, Stability of switched linear systems on non-uniform time domains,
*IEEE Proceedings of the 42nd Meeting of the Southeastern Symposium on System Theory*, University of Texas at Tyler, March 7-9, 2010, p. 127-132. - J.M. Davis, I.A. Gravagne, R.J. Marks II, A.A. Ramos, Algebraic and dynamic Lyapunov equations on time scales,
*IEEE Proceedings of the 42nd Meeting of the Southeastern Symposium on System Theory*, University of Texas at Tyler, March 7-9, 2010, p. 329-334. - J.M. Davis, I.A. Gravagne, and R.J. Marks II, Bilateral Laplace transforms on time scales: convergence, convolution, and the characterization of stationary stochastic time series,
*Circuits, Systems, and Signal Processing*,**29**(2010), 1141-1165. - J.M. Davis, I.A. Gravagne, and R.J. Marks II, Convergence of unilateral Laplace transforms on time scales,
*Circuits, Systems, and Signal Processing*,**29**(2010), 971-997. - I.A. Gravagne, J.M. Davis, J.J. DaCunha, A unified approach to high-gain adaptive controllers,
*Abstract and Applied Analysis***2009**(2009), 1-13. arXiv:0901.3873v1 [math.OC] - J.M. Davis, I.A. Gravagne, B.J. Jackson, R.J. Marks II, Controllability, observability, realizability, and stability of dynamic linear systems,
*Electronic Journal of Differential Equations***2009**(2009), 1-32. arXiv:0901.3764 [math.OC] - 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. - I.A. Gravagne, J.M. Davis, R.J. Marks II. Bandwidth reduction for controller area networks using adaptive sampling,
*Proceedings of 2004 IEEE International Conference on Robotics and Automation*(ICRA 2004), New Orleans, LA, April 2004, 5250–5255.

See my CV for a complete list of publications.