Publications
Selected (recent) publications:
- B.J. Jackson, J.M. Davis, I.A. Gravagne, R.J. Marks II, Linear state feedback stabilization on time scales, submitted. arXiv:0910.3034v1 [math.OC]
- J.M. Davis, I.A. Gravagne, R.J. Marks II, A.A. Ramos, Algebraic and dynamic Lyapunov equations on time scales, submitted. arXiv:0910.1895v1 [math.OC]
- R.J. Marks II, J.M. Davis, I.A. Gravagne, Bilateral Laplace transforms on time scales: convergence, convolution, and the characterization of stationary stochastic time series, Circuits, Systems, and Signal Processing, to appear.
- R.J. Marks II, J.M. Davis, I.A. Gravagne, Convergence of unilateral Laplace transforms on time scales, Circuits, Systems, and Signal Processing, to appear.
- J.J. DaCunha, J.M. Davis, A unified Floquet theory for discrete, continuous, and hybrid periodic linear systems, submitted. arXiv:0901.3841v1 [math.DS]
- I.A. Gravagne, J.M. Davis, J.J. DaCunha, A unified approach to high-gain adaptive controllers, submitted. 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.
www.timescales.org contains preprints, publications, software, etc. pertaining to our research group’s time scales work.
Research Metrics:
- MathSciNet subscribers can access reviews of my publications here.
- MathSciNet subscribers can access my Math Reviews citation data here.
- Google Scholar + PoP: 32 papers covered; 355 citations; h-index=10 (Feb 2009)