
Publications 

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] [pdf] 
Dylan R. Poulsen, Michael Z. Spivey, and Robert J. Marks II, "The Poisson Process and Associated Probability Distributions on Time Scales,'' Proceedings of the 2011 IEEE 43rd Southeastern Symposium on Systems Theory (SSST), Auburn University, March 1417, 2011, pp. 49  54 [ pd f] 
John M. Davis, Ian A. Gravagne, Robert J. Marks II and Billy J. Jackson, "Regions of Exponential Stability for LTI Systems on Nonuniform Discrete Domains,'' Proceedings of the 2011 IEEE 43rd Southeastern Symposium on Systems Theory (SSST), Auburn University, March 1417, 2011, pp.3742 [ pdf ] 
Ian Gravagne, Eric Johns and John M. Davis, "Switched Linear Systems on Time Scales with Relaxed Commutativity Constraints," Proceedings of the 2011 IEEE 43rd Southeastern Symposium on Systems Theory (SSST), Auburn University, March 1417, 2011, pp.4348 [ pdf ] 
John M. Davis and Geoffrey Eisenbarth, "The Positivstellensatz and Nonexistence of Common Quadratic Lyapunov Functions," Proceedings of the 2011 IEEE 43rd Southeastern Symposium on Systems Theory (SSST), Auburn University, March 1417, 2011, pp.5558 [ pdf ] 

2010 
John M. Davis, Ian A. Gravagne and Robert J. Marks II, "Convergence of Unilateral Laplace Transforms on Time Scales," Circuits, Systems, and Signal Processing, Birkhäuser Boston, Friday, April 30, 2010. [DOI 10.1007/s0003401091962  Abstract & References  pdf on line  cached ] 
John M. Davis, Ian A. Gravagne and Robert J. Marks II, "Bilateral Laplace Transforms on Time Scales: Convergence, Convolution, and the Characterization of Stationary Stochastic Time Series,'' Circuits, Systems, and Signal Processing, Birkhäuser Boston, Friday, April 30, 2010. [ DOI 10.1007/s0003401091962  Abstract & References  pdf on line  cached ] 
Ian A. Gravagne, John M. Davis, and Jeffrey J. DaCunha, "A Unified Approach to HighGain
Adaptive Controllers," Abstract and Applied Analysis, Volume 2009, Article ID 198353, [ pdf  Online Version] 
John M. Davis, Ian Gravagne, Robert J. Marks II, Alice A. Ramos, "Algebraic and Dynamic Lyapunov Equations on Time Scales," Proceedings of the the 42nd Meeting of the Southeastern Symposium on System Theory, IEEE, University of Texas at Tyler, March 79, 2010. [ arXiv:0910.1895v1 [math.OC] ] [pdf]. 
John M. Davis, Ian Gravagne, Robert J. Marks II, John E. Miller, Alice Ramos, "Stability of Switched Linear Systems on Nonuniform Time Domains," Proceedings of the the 42nd Meeting of the Southeastern Symposium on System Theory, IEEE, University of Texas at Tyler, March 79, 2010. [pdf] 
John M. Davis, Ian Gravagne, Billy Jackson, Robert J. Marks II, "State Feedback Stabilization of Linear
TimeVarying Systems on Time Scales," Proceedings of the the 42nd Meeting of the Southeastern
Symposium on System Theory, IEEE, University of Texas at Tyler, March 79, 2010. [pdf] 

2009 
J.J. DaCunha, J.M. Davis, "A unified Floquet theory for discrete, continuous, and hybrid periodic linear systems," submitted. arXiv:0901.3841v1 [math.DS]

Billy J. Jackson, John M. Davis, Ian A. Gravagne, Robert J. Marks II, "Controllability, Observability, Realizability and Stability of Dynamic Linear Systems,'' Electronic Journal of Differential Equations, Vol. 2009 (2009), No. 37, pp. 132. [ pdf  web  arXiv:0901.3764v1 [math.OC] ] 
John E. Miller. "Stability of NonDiagonalizable Switched Linear Systems on Time Scales," M.S. Thesis, (August 2009) [pdf]

I.A. Gravagne, J.M. Davis, J.J. DaCunha, "A unified approach to highgain adaptive controllers," submitted. arXiv:0901.3873v1 [math.OC]


2008 
Robert J. Marks II, Ian A. Gravagne & John M. Davis, "A Generalized Fourier Transform and Convolution on Time Scales," Journal of Mathematical Analysis and Applications Volume 340, Issue 2, 15 April 2008, Pages 901919 [pdf ]. 
B.J. Jackson, Adaptive control in the nabla setting. Neural Parallel Sci. Comput. 16 (2008), 253272. [pdf] 

2007 
James W. Rogers Jr. and Qin Sheng, "Notes on the diamondα dynamic derivative on time scales," J. Math. Anal. Appl. 326 (2007) pp.228–241 [pdf].

John M. Davis, Ian A. Gravagne, Billy J. Jackson, Robert J. Marks II and Alice A. Ramos, "The Laplace Transform on Time Scales Revisited," Journal of Mathematical Analysis Applications, vol.332 (2007) 1291–1307 [ pdf ].

Billy Joe Jackson, "A General Linear Systems Theory on Time Scales: Transforms, Stability, and Control," Ph.D. Dissertation (August 2007) [pdf]

Jeffrey J. DaCunha, "Instability results for slowly time varying linear dynamic systems on time scales," J. Math. Anal. Appl. 328 (2007) pp.1278–1289 [pdf].


2006 
B. Jackson, "Partial dynamic equations on time scales," Journal of Computational and Applied Mathematics 186 (2006) pp.391–415 [pdf].

R.J. Marks II, Ian Gravagne, John M. Davis, Jeffrey J. DaCunha "Nonregressivity in Switched Linear Circuits and Mechanical Systems," Mathematical and Computer Modelling, vol. 43, pp.13831392, (2006). [pdf]

Q. Sheng, M. Fadagb, J. Hendersona, and J.M. Davis, "An exploration of combined dynamic derivatives on time scales and their applications," Nonlinear Analysis: RealWorld Applications 7 (2006) pp.395–413 [pdf].

Q.
Sheng, M. Fadag, J. Henderson, and J.M. Davis, "An Exploration
of Combined Dynamic Derivatives on Time Scales and Their Applications" Nonlinear Analysis:Real World Applications 7, (2006) pp.395–413.[pdf]


2005 
Jeffrey J. DaCunha, "Transition matrix and generalized matrix exponential via the PeanoBaker series," Journal of Difference Equations and Applications, Vol. 11, No. 15, 15 December 2005, pp.12451264 [pdf]

Ian
Gravagne, John M. Davis, R.J. Marks II, "How
Deterministic Must a RealTime Controller Be?" Proceedings
of 2005 IEEE/RSJ International Conference on Intelligent
Robots and Systems, (IROS 2005) , Alberta, Canada.Aug. 26, 2005,
pp. 3856  3861. [pdf]

Qin
Sheng, "A view of dynamic derivatives on time scales from
approximations" Journal of Difference Equations and Applications,
Vol. 11, No. 1, pages 6382 (2005). [pdf]


2004 
Jeffrey
J.DaCunha "Lyapunov Stability and Floquet Theory for Nonautonomous
Linear Dynamic Systems on Time Scales" Dissertation, Baylor
University (2004). [pdf] 
Jeffrey J. DaCunha, John M. Davis, and Parmjeet K. Singh, "Existence results for singular three point boundary value problems on time scales," J. Math. Anal. Appl. 295 (2004) 378–39. [pdf]

Ian
Gravagne, John M. Davis & Jeffrey J. DaCunha, R.J. Marks
II, “Bandwidth Reduction for Controller Area Networks using
Adaptive Sampling,” Proc. Int. Conf. Robotics and Automation
(ICRA), New Orleans, LA, April 2004, pp. 5250 – 5255. [pdf]



