The University of Arizona
Aerospace and Mechanical Engineering
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Thomas L. Vincent
Professor Emeritus
 
 • OfficeAME N729
 • Phone(520) 621-2325
 • Fax(520) 621-8191
 • Emailvincent@email.arizona.edu
 • MailDr. Thomas L. Vincent
The University of Arizona
Aerospace and Mechanical Engineering
PO Box 210119
Tucson AZ 85721-0119
Thomas L. Vincent
Research Expertise
Education
Employment
Honors and Awards
Professional Societies
Publications
Research Grants
Consulting

Research Expertise

 • Qualitative behavior of nonlinear dynamical systems with applications to automatic control design
 • Optimal control and game theory with applications in control design, management programs for dynamical systems
 • Evolution and adaptation of biological systems
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Education

 • Ph.D.Aerospace Engineering, University of Arizona, 1963
 • M.S.Mechanical Engineering, Oregon State University, Corvallis, 1960
 • B.S.Mechanical Engineering, Oregon State University, Corvallis, 1958
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Employment

 • 2001---The University of Arizona: Professor Emeritus
 • 1960-01Aerospace and Mechanical Engineering, The University of Arizona: Instructor 1960-63; Assistant Professor 1963-67; Associate Professor 1967-68; Professor 1968-2001
 • 1980-83Hughes Aircraft Company, Tucson, Arizona (part time)
 • 1959-60Boeing Company, Seattle, Washington (also Summers of 1957-58, 1960): Product Research Engineer
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Honors and Awards

 •  2001 IEEE Outstanding Paper Award for "Evolution and Control System Design" published in the October 2000 issue of the IEEE Control System Magazine.
 • Hill Visiting Professorship, University of Minnesota, Fall Quarter 1990
 • Award of Excellence, Halliburton Educational Foundation, The University of Arizona, 1982
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Professional Societies

 • AIAAThe American Institute of Aeronautics and Astronautics
 • ISDGInternational Society of Dynamic Games
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Publications  (since 2000; not including conferences)

 • Vincent, T. L., Chaotic Control Systems, Advances of Stability Theory at the End of 20th Century, Gordon and Breach [in press].
 • Vincent, T. L. and Gatenby, R. A., Sonamic Evolution of Cancer, Int. Game Theory Rev. 9 [in press].
 • Jorensen, S., Quincampoix, M., and Vincent, T. L. (Eds.), Advances in Dynamic Game Theory; Numerical Methods, Algorithms, and Applications to Ecology and Economics, Annals of the International Society of Dynamic Games, Vol. 9, Birkhauser, 2007.
 • Vincent, T. L., Carcinogenesis and an Evolutionary Game, Adv. Complex Syst. 9:369-382, 2006.
 • Kini, A., Vincent, T. L., and Paden, B., The Bouncing Ball Apparatus as an Experimental Tool, J. Dyn. Syst., Meas., Control 128:330-340, 2006.
 • Brown, J. S. and Vincent, T. L., G-functions for the Hermeneutic Circle of Evolution, Comput. Oper. Res. 33:479-499, 2006.
 • Vincent, T. L., State Variable Feedback, pp. 177-1-6, The Engineering Handbook, 2nd Ed. (R. C. Dorf, Ed.), CRC Press, 2005.
 • Vincent, T. L., Cottrell, R. G., and Morgan, R. W., Minimizing Maneuver Advantage Requirements for a Hit-To-Kill Interceptor, J. Aerospace Eng. 219:113-129, 2005.
 • Vincent, T. L. and Gatenby, R. A., Modeling Cancer and an Evolutionary Game, Int. Game Theory Rev. 7:331-346, 2005.
 • Vincent, T. L. and Brown, J. S., Evolutionary Game Theory, Natural Selection & Darwinian Dynamics, Cambridge University Press, Cambridge England, 2005.
 • Brown, J. S. and Vincent, T. L., G-Functions for the Hermeneutic Circle of Evolution, Comput. Oper. Res. 16:45-59, 2004.
 • Vincent, T. L., The Gamma-function Method for Analyzing Darwinian Dynamics, Int. Game Theory Rev. 6:69-90, 2004.
 • Gatenby, R. A. and Vincent, T. L., An Evolutionary Model of Carcinogenesis, Cancer Res. 63:6212-6220, 2003.
 • Gatenby, R. A. and Vincent, T. L., Application of Quantitative Models from Population Biology and Evolutionary Game Theory to Tumor Therapeutic Strategies, Molecular Cancer Therapeutics 2:919-927, 2003.
 • Vincent, T. L. and Grantham, W. J., Trajectory Following Methods in Control System Design, J. Global Optimization 23:267-282, 2002.
 • Vincent, T. L., Utilizing Chaos in Control System Design, Controlling Chaos and Bifurcations in Engineering Systems (Guanrong Chen, Ed.), CRC Press, pp. 89-106, 2000.
 • Vincent, T. L. and Vincent, T. L. S., Evolution and Control System Design, IEEE Control Syst. Mag. 20:20-35, 2000.
 • Cohen, Y., Pastor, J., and Vincent, T. L., Evolutionary Strategies and Nutrient Cycling in Ecosystems, Evol. Ecol. Res. 2:719-743, 2000.
 • Vincent, T. L., Optimization by Way of the Trajectory Following Method, Progress in Optimization (X. Q. Yang, et al., Eds.), Kluwer, pp. 339-254, 2000.
 • Vincent, T. L. and Cressman, R., An ESS Maximum Principle for Matrix Games, Theo. Pop. Biol. 58:173-186, 2000.
 • Vincent, T. L. and Mees, A. I., Controlling a Bouncing Ball, J. Bifurcation and Chaos 10:579-592, 2000.
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Research Grants  (since 2000)

 • Guidance Navigation, Control Support for the SWARM Project, 5/22/02-5/21/03.
 • Autonomous Underwater Vehicle, Alaska Pacific University, 10/1/01-9/30/03.
 • Nonlinear Guidance for a Maneuvering Target, U.S. Army, Ballistic Missile Defense Command, 8/1/99-7/31/02.
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Consulting  (since 2000)

 • Lighter Than Air International, Las Vegas
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