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