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Publications |
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| 2010 |
Ian A. Gravagne, John M. Davis, and Jeffrey J. DaCunha, "A Unified Approach to High-Gain
Adaptive Controllers," Abstract and Applied Analysis, Volume 2009, Article ID 198353, [ pdf | Online Version] |
| 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 - in press. (Accepted for Publication, October 2009.) [preprint] |
| John M. Davis, Ian A. Gravagne and Robert J. Marks II, "Convergence of Unilateral Laplace Transforms on Time Scales," Circuits, Systems, and Signal Processing - in press. (Accepted for Publication, October 2009.) [preprint] |
| 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 7-9, 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 Non-uniform Time Domains," Proceedings of the the 42nd Meeting of the Southeastern Symposium on System Theory, IEEE, University of Texas at Tyler, March 7-9, 2010. [pdf] |
John M. Davis, Ian Gravagne, Billy Jackson, Robert J. Marks II, "State Feedback Stabilization of Linear
Time-Varying Systems on Time Scales," Proceedings of the the 42nd Meeting of the Southeastern
Symposium on System Theory, IEEE, University of Texas at Tyler, March 7-9, 2010. [pdf] |
| John M. Davis, Ian A. Gravagne, and Robert J. Marks II, "Time Scale Discrete Fourier Transforms,'' Proceedings of the the 42nd Meeting of the Southeastern Symposium on System Theory, University of Texas at Tyler, March 7-9, 2010. [pdf] |
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| 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]
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| 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. 1-32. [ pdf | web | arXiv:0901.3764v1 [math.OC] ] |
John E. Miller. "Stability of Non-Diagonalizable Switched Linear Systems on Time Scales," M.S. Thesis, (August 2009) [pdf]
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I.A. Gravagne, J.M. Davis, J.J. DaCunha, "A unified approach to high-gain adaptive controllers," submitted. arXiv:0901.3873v1 [math.OC]
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| 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 901-919 [pdf ].
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| 2007 |
James W. Rogers Jr. and Qin Sheng, "Notes on the diamond-α dynamic derivative on time scales," J. Math. Anal. Appl. 326 (2007) pp.228–241 [pdf].
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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 ].
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Billy Joe Jackson, "A General Linear Systems Theory on Time Scales: Transforms, Stability, and Control," Ph.D. Dissertation (August 2007) [pdf]
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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].
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| 2006 |
B. Jackson, "Partial dynamic equations on time scales," Journal of Computational and Applied Mathematics 186 (2006) pp.391–415 [pdf].
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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.1383-1392, (2006). [pdf]
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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].
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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]
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| 2005 |
Jeffrey J. DaCunha, "Transition matrix and generalized matrix exponential via the Peano-Baker series," Journal of Difference Equations and Applications, Vol. 11, No. 15, 15 December 2005, pp.1245-1264 [pdf]
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Ian
Gravagne, John 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. 2-6, 2005,
pp. 3856 - 3861. [pdf]
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Qin
Sheng, "A view of dynamic derivatives on time scales from
approximations" Journal of Difference Equations and Applications,
Vol. 11, No. 1, pages 63-82 (2005). [pdf]
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| 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]
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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]
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