Patrick W. Nelson - Publications

Affiliations: 
University of Michigan, Ann Arbor, Ann Arbor, MI 
Area:
Mathematics

29 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2013 Yi S, Nelson PW, Ulsoy AG. Proportional-integral control of first-order time-delay systems via eigenvalue assignment Ieee Transactions On Control Systems Technology. 21: 1586-1594. DOI: 10.1109/Tcst.2012.2216267  0.588
2012 Simonov M, Rawlings RA, Comment N, Reed SE, Shi X, Nelson PW. Modeling adaptive regulatory T-cell dynamics during early HIV infection. Plos One. 7: e33924. PMID 22536321 DOI: 10.1371/Journal.Pone.0033924  0.344
2012 Yi S, Nelson PW, Ulsoy AG. DC motor control using the Lambert W function approach Ifac Proceedings Volumes (Ifac-Papersonline). 10: 49-54. DOI: 10.3182/20120622-3-Us-4021.00014  0.556
2012 Yi S, Duan S, Nelson PW, Ulsoy AG. The Lambert W function approach to time delay systems and the LambertW-DDE toolbox Ifac Proceedings Volumes (Ifac-Papersonline). 10: 114-119. DOI: 10.3182/20120622-3-Us-4021.00008  0.584
2011 Yi S, Nelson PW, Ulsoy AG. PI control of first order time-delay systems via eigenvalue assignment Proceedings of the American Control Conference. 4213-4218.  0.532
2010 Nypaver CM, Thornton MM, Yin SM, Bracho DO, Nelson PW, Jones AE, Bortz DM, Younger JG. Dynamics of human complement-mediated killing of Klebsiella pneumoniae. American Journal of Respiratory Cell and Molecular Biology. 43: 585-90. PMID 20008281 DOI: 10.1165/Rcmb.2009-0292Oc  0.301
2010 Yi S, Nelson PW, Ulsoy AG. Eigenvalue assignment via the lambert w function for control of time-delay systems Jvc/Journal of Vibration and Control. 16: 961-982. DOI: 10.1177/1077546309341102  0.618
2010 Yi S, Nelson PW, Ulsoy AG. Time-delay systems: Analysis and control using the lambert W function Time-Delay Systems: Analysis and Control Using the Lambert W Function. 1-142. DOI: 10.1142/7759  0.549
2010 Yi S, Nelson PW, Ulsoy AG. Design of observer-based feedback control for time-delay systems with application to automotive powertrain control Proceedings of the Asme Dynamic Systems and Control Conference 2009, Dscc2009. 1509-1516. DOI: 10.1016/J.Jfranklin.2009.09.001  0.578
2009 Nelson P, Smith N, Ciupe S, Zou W, Omenn GS, Pietropaolo M. Modeling dynamic changes in type 1 diabetes progression: quantifying beta-cell variation after the appearance of islet-specific autoimmune responses. Mathematical Biosciences and Engineering : Mbe. 6: 753-78. PMID 19835428 DOI: 10.3934/Mbe.2009.6.753  0.62
2009 Yi S, Nelson PW, Ulsoy AG. Eigenvalues and sensitivity analysis for a model of HIV-1 pathogenesis with an intracellular delay 2008 Proceedings of the Asme Dynamic Systems and Control Conference, Dscc 2008. 573-581.  0.482
2008 Yi S, Nelson PW, Ulsoy AG. Analysis and control of time delayed systems via the Lambert W function Ifac Proceedings Volumes (Ifac-Papersonline). 17. DOI: 10.3182/20080706-5-Kr-1001.02272  0.617
2008 Yi S, Nelson PW, Ulsoy AG. Feedback control via eigenvalue assignment for time delayed systems using the Lambert W function 2007 Proceedings of the Asme International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Detc2007. 5: 783-792. DOI: 10.1115/DETC2007-35711  0.576
2008 Yi S, Nelson PW, Ulsoy AG. Robust control and time-domain specifications for systems of delay differential equations via eigenvalue assignment Proceedings of the American Control Conference. 4928-4933. DOI: 10.1115/1.4001339  0.604
2007 Yi S, Nelson PW, Ulsoy AG. Delay differential equations via the matrix Lambert W function and bifurcation analysis: application to machine tool chatter. Mathematical Biosciences and Engineering : Mbe. 4: 355-68. PMID 17658931 DOI: 10.3934/Mbe.2007.4.355  0.603
2007 Ciupe SM, Ribeiro RM, Nelson PW, Perelson AS. Modeling the mechanisms of acute hepatitis B virus infection. Journal of Theoretical Biology. 247: 23-35. PMID 17428501 DOI: 10.1016/J.Jtbi.2007.02.017  0.643
2007 Ciupe SM, Ribeiro RM, Nelson PW, Dusheiko G, Perelson AS. The role of cells refractory to productive infection in acute hepatitis B viral dynamics. Proceedings of the National Academy of Sciences of the United States of America. 104: 5050-5. PMID 17360406 DOI: 10.1073/Pnas.0603626104  0.634
2007 Yi S, Nelson PW, Ulsoy AG. Controllability and observability of systems of linear delay differential equations via the matrix lambert W function Proceedings of the American Control Conference. 5631-5636. DOI: 10.1109/Tac.2008.919549  0.615
2006 Bortz DM, Nelson PW. Model selection and mixed-effects modeling of HIV infection dynamics Bulletin of Mathematical Biology. 68: 2005-2025. PMID 16900456 DOI: 10.1007/S11538-006-9084-X  0.343
2006 Ciupe MS, Bivort BL, Bortz DM, Nelson PW. Estimating kinetic parameters from HIV primary infection data through the eyes of three different mathematical models Mathematical Biosciences. 200: 1-27. PMID 16469337 DOI: 10.1016/J.Mbs.2005.12.006  0.388
2006 Yi S, Nelson PW, Ulsoy AG. Chatter stability analysis using the matrix Lambert function and bifurcation analysis Proceedings of the International Conference On Manufacturing Science and Engineering. 2006.  0.563
2006 Yi S, Ulsoy AG, Nelson PW. Solution of systems of linear delay differential equations via laplace transformation Proceedings of the Ieee Conference On Decision and Control. 2535-2540.  0.316
2004 Nelson PW, Gilchrist MA, Coombs D, Hyman JM, Perelson AS. An age-structured model of hiv infection that allows for variations in the production rate of viral particles and the death rate of productively infected cells. Mathematical Biosciences and Engineering : Mbe. 1: 267-88. PMID 20369971 DOI: 10.3934/Mbe.2004.1.267  0.374
2004 Bortz DM, Nelson PW. Sensitivity analysis of a nonlinear lumped parameter model of HIV infection dynamics Bulletin of Mathematical Biology. 66: 1009-1026. PMID 15294416 DOI: 10.1016/J.Bulm.2003.10.011  0.426
2004 Forde J, Nelson P. Applications of Sturm sequences to bifurcation analysis of delay differential equation models Journal of Mathematical Analysis and Applications. 300: 273-284. DOI: 10.1016/J.Jmaa.2004.02.063  0.701
2002 Nelson PW, Perelson AS. Mathematical analysis of delay differential equation models of HIV-1 infection. Mathematical Biosciences. 179: 73-94. PMID 12047922 DOI: 10.1016/S0025-5564(02)00099-8  0.437
2001 Nelson PW, Mittler JE, Perelson AS. Effect of drug efficacy and the eclipse phase of the viral life cycle on estimates of HIV viral dynamic parameters. Journal of Acquired Immune Deficiency Syndromes (1999). 26: 405-12. PMID 11391159 DOI: 10.1097/00126334-200104150-00002  0.303
2000 Nelson PW, Murray JD, Perelson AS. A model of HIV-1 pathogenesis that includes an intracellular delay. Mathematical Biosciences. 163: 201-15. PMID 10701304 DOI: 10.1016/S0025-5564(99)00055-3  0.385
1999 Perelson AS, Nelson PW. Mathematical analysis of HIV-1 dynamics in vivo Siam Review. 41: 3-44. DOI: 10.1137/S0036144598335107  0.317
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