BOOKS

Nonlinear and Optimal Control Systems
Vincent, T.L. and Grantham, W.J., John Wiley & Sons, New York, 1997

Modern Control Systems Analysis and Design
Grantham, W.J. and Vincent, T.L., John Wiley & Sons, New York, 1993

Sistemas de Control Moderno, Analisis y Diseno
Grantham, W. J. and Vincent, T. L., , Limusa, Mexico, 1998.

Optimality in Parametric Systems
Vincent, T.L. and Grantham, W.J., John Wiley & Sons, New York, 1981.

CHAPTERS IN BOOKS

Schimel, B.D. and Grantham, W.J., "Linear State Space Models," in The Engineering Handbook, R.C. Dorf, ed., CRC Press, Boca Raton, FL, 1995, pp. 1058-1069.

Grantham, W.J. and Athalye, A.M., "Discretization Chaos: Feedback Control and Transition to Chaos", in Control and Dynamic Systems, Vol. 34, Part 1 of 2, C.T. Leondes, ed., Academic Press, San Diego, 1990, pp. 205-277.

Grantham, W.J. and Athalye, A.M., "A Chaotic System: Discretization and Control," in Dynamics of Complex Interconnected Biological Systems, Mees, A.I. and Vincent, T.L., eds., Birkhaüser, Boston, 1990, pp. 155-174.

Grantham, W.J. and Fisher, M.E., "Generating Reachable Set Boundaries for Discrete-Time Systems", in Modeling and Management of Resources Under Uncertainty, Vincent, T.L., Cohen, Y., Grantham, W.J., Kirkwood, G.P., and Skowronski, J.M., eds., Springer-Verlag, New York, 1987, pp. 152-166.

Grantham, W.J., "Estimating Controllability Boundaries for Uncertain Systems," in Renewable Resource Management, T.L. Vincent and J.M. Skowronski, eds., Springer-Verlag, New York, 1981, pp. 151-162.

INVITED PAPERS

"Notch Filter Feedback Control of a Chaotic System,"

American Control Conference, Seattle, WA, June 21-23, 1995

NSF/Australia Workshop on Control and Chaos, Honolul, HI, June 29--July 1, 1995

The Engineering Handbook, R.C. Dorf, ed., CRC Press, Boca Raton, FL, 1995

World Congress of Nonlinear Analysts, Tampa, FL, Aug. 19-26, 1992

5th Control Mechanics Workshop, Univ. of Southern Calif., Los Angeles, CA, Jan. 22-24, 1992

University of Canterbury, Canterbury, New Zealand, Nov., 1991

Central College of Queensland, Rockhampton, Queensland, Australia, Nov., 1991

University of Queensland, Brisbane, Queensland, Australia, Nov., 1991

Royal Melbourne Institute of Technology, Melbourne, Victoria, Australia, Nov. 1991

Defence Science and Technology Office, Adelaide, South Australia, Oct. 1991

University of Western Australia, Perth, Western Australia, July, 1991.

4th Control Mechanics Workshop, Univ. of Southern Calif., Los Angeles, CA, Jan. 22-24, 1991

29th I.E.E.E. Conf. on Decision and Control, Honolulu, HI, Dec. 5-7, 1990.

3rd Control Mechanics Workshop, Univ. of Southern Calif., Los Angeles, CA, Jan. 22-24, 1990

NSF Control Mechanics Workshop, Univ. of Southern Calif., Los Angeles, CA, Jan. 23-25, 1989

NSF/Australia Workshop on the Dynamics of Complex Interconnected Biological Systems, Albany, Western Australia, January 2-5, 1989

A.I.A.A. Guidance, Navigation, and Control Conf., Monterey, CA, August 1987

1986 Int'l Federation on Automatic Control Workshop on Modelling, Decisions, and Games: With Applications to Social Phenomena, Beijing, Peoples Republic of China, August 1986.

Second Int'l Conf. on Renewable Resource Management National Science Foundation US-Australia Program Honolulu, Hawaii, December 1985

15th Modelling and Simulation Conference University of Pittsburgh, April 1984

First Int'l Conf. on Renewable Resource Management National Science Foundation US-Australia-New Zealand Program University of Canterbury, Christchurch, New Zealand, January 1981

ASME 1980 Winter Annual Meeting, Chicago, November 1980

REFEREED PAPERS

Grantham, W. J., "Gradient Transformation Trajectory Following Algorithms for Determining Stationary Min-Max Saddle Points," in Advances in Dynamic Game Theory and Applications, Jørgensen, S. J., Vincent, T. L., and Quincampoix, M., eds., Birkhaüser, Boston, 2005 (in review).

McDonald, D. B. and Grantham, W. J., "Singular Perturbation Trajectory Following Algorithms for Min-Max Differential Games," in Advances in Dynamic Game Theory and Applications, Jørgensen, S. J., Vincent, T. L., and Quincampoix, M., eds., Birkhaüser, Boston, 2005 (in review). (Best Paper, 11th Int'l. Symposium on Dynamic Games and Applications, Tucson, AZ, December, 2004).

Grantham, W. J., "Trajectory Following Optimization by Gradient Transformation Differential Equations," Proc. 42nd I.E.E.E. Conf. on Decision and Control, Maui, HI, December 9 - 12, 2003, pp. 5496 - 5501.

Vincent, T. L. and Grantham, W. J., "Trajectory Following Methods in Control System Design," J. of Global Optimization, Vol. 23, No. 3 - 4, August, 2002, pp. 267-282.

Schimel, B.D., Baker, E.L., and Grantham, W.J., "A Method for Parameter Optimization of Reactive Flow Continuum Models by Sequential Quadratic Programming," J. of Energetic Materials, Vol. 15, No. 4, 1997, pp. 289 - 311.

Grantham, W.J. and Athalye, A.M., "Notch Filter Control for k-Period Motion in a Chaotic System," in Control and Chaos, K. Judd, A.I. Mees, K.L. Teo, T.L. Vincent, eds., Birkhauser, Boston, 1997, pp. 142-155.

Schimel, B.D. and Grantham, W.J., "Linear State Space Models," in The Engineering Handbook, R.C. Dorf, ed., CRC Press, Boca Raton, FL, 1995, pp. 1058-1069.

Fisher, M.E., Grantham, W.J., and Teo, K.L., "Neighboring Extremals for Nonlinear Systems with Control Constraints," Dynamics and Control, Vol. 5, No. 3, July 1995, pp. 225-240.

Lee, B., Grantham, W.J., and Fisher, M.E., "Differential Equation for Continuous Normalization," K.S.M.E. Journal, Vol. 8, No. 1, 1994, pp. 63-68.

Grantham, W.J. and Lee, B., "A Chaotic Limit Cycle Paradox," Dynamics and Control, Vol. 3, No. 2, April 1993, pp. 157-171.

Grantham, W.J. and Parks, E.K., "A DFW Microburst Model Based on DL-191 Data," Proc. 29th I.E.E.E. Conf. on Decision and Control, Vol. 2 of 6, Dec., 1990, pp. 695-701.

Grantham, W.J., Roetcisoender, G.G., and Parks, E.K., "DFW Microburst Model Based on AA - 539 Data," J. of Aircraft, Vol. 27, No. 11, Nov 1990, pp. 917-922.

Grantham, W.J. and Athalye, A.M., "Discretization Chaos: Feedback Control and Transition to Chaos", in Control and Dynamic Systems, Vol. 34, Part 1 of 2, C.T. Leondes, ed., Academic Press, San Diego, 1990, pp. 205-277.

Grantham, W.J. and Athalye, A.M.,"A Chaotic System: Discretization and Control," in Dynamics of Complex Interconnected Biological Systems, Mees, A.I. and Vincent, T.L., eds., Birkhaüser, Boston, 1990, pp. 155-174.

Anderson, M.J. and Grantham, W.J., "Lyapunov Optimal Feedback Control of an Inverted Pendulum," J. Dynamic Systems, Measurement and Control, Vol. 111, No. 4, December 1989, pp. 554-558.

Lee, B.S. and Grantham, W.J., "Aero-Assisted Orbital Maneuvering Using Lyapunov Optimal Feedback Control," J. Guidance, Control, and Dynamics , Vol. 12, No. 2, March-April, 1989, pp. 237-242.

Grantham, W.J. and Fisher, M.E.,"Generating Reachable Set Boundaries for Discrete-Time Systems", in Modeling and Management of Resources Under Uncertainty, Vincent, T.L., Cohen, Y., Grantham, W.J., Kirkwood, G.P., and Skowronski, J.M., eds., Springer-Verlag, New York, 1987.

Baker, E.L. and Grantham, W.J., "Dynamics of Coal Dust Flame Acceleration: A Feedback Control Model for Unsteady Flow," Mathematical Modelling, Vol. 8, 1987. (Richard Bellman Award: Best Paper, 5th Int'l Conf. on Math. Modelling).

Fritchman, B.M. and Grantham, W.J., "Differential Game Control of a Bilinear Solar Collector/Heat Exchanger System," Mathematical Modelling, Vol. 8, 1987.

Fisher, M.E. and Grantham, W.J., "Estimating the Effect of Continual Disturbances on Discrete-Time Population Models," J. of Mathematical Biology, Vol. 22, 1985.

Grantham, W.J. and Chingcuanco, A.O., "Lyapunov Steepest Descent Control of Constrained Linear Systems," I.E.E.E. Trans. on Automatic Control, Vol. AC-29, No. 8, August 1984.

Grantham, W.J., "Some Necessary Conditions for Steepest Descent Controllability," Proc. American Controls Conf., Alexandria, VA, June 1982.

Fritchman, B.M. and Grantham, W.J., "Optimal Control of a Bilinear Solar Collector/Heat Exchanger System," Proc. American Controls Conf., Alexandria, VA, June 1982.

Grantham, W.J., "Estimating Controllability Boundaries for Uncertain Systems," in Renewable Resource Management, T.L. Vincent and J.M. Skowronski, eds., Springer-Verlag, New York, 1981, pp 151-162.

Grantham, W.J., "Controllability Conditions and Effective Controls for Nonlinear Systems," Proc. 20th I.E.E.E. Conf. on Decision and Control, San Diego, CA, December 1981.

Grantham, W.J., "Estimating Reachable Sets," J. of Dynamic Systems, Measurement and Control, Vol. 103, No. 4, December 1981.

Grantham, W.J., "Lyapunov-Stackelberg Estimates for Reachable Sets," Proc. 19th I.E.E.E. Conf. on Decision and Control, Alburquerque, NM, December 1980.

Grantham, W.J. and Vincent, T.L., "A Controllability Minimum Principle," J. of Optimization Theory and Applications, Vol. 17, Nos. 1/2, October 1975.

Vincent, T.L., Cliff, E.M., Grantham, W.J., and Peng, W.Y., "Some Aspects of Collision Avoidance," A.I.A.A. J.., Vol. 12, No. 1, January 1974.

OTHER PAPERS

McDonald, D. B., Grantham, W. J., Tabor, W. L., and Murphy, M. J., "Response Surface Model Development for Global/Local Optimization Using Radial Basis Functions", Proc. 8th A.I.A.A. Symposium on Multidisciplinary Analysis and Optimization, Long Beach, CA, September, 2000.

Baker, E.L., Schimel, B.D., and Grantham, W.J., "Numerical Optimization of Ignition and Growth Reactive Flow Modeling for PAX2A," APS Topical Conf. on Shock Compression of Condensed Matter, Seattle, WA, August 13-18, 1995.

Athalye, A.M., and Grantham, W.J., "Notch Filter Feedback Control of a Chaotic System," Proc. Amer. Control Conf., Seattle, WA, June 1995.

Skowronski, J.M., Lee, B.S., and Grantham, W.J., "Chaos in a Dynamic Game", Proc. A.I.A.A. Guidance, Navigation and Control Conf., Boston, MA, August, 1989.

Lee, B.S. and Grantham, W.J., "Aero-Assisted Orbital Transfer in an Uncertain Atmosphere," Proc. A.I.A.A. Guidance, Navigation and Control Conf., Minniappolis, MN, August, 1988.

Grantham, W.J. and Parks, E.K., "The DFW Microburst: A Two-Dimensional Multiple Vortex Model," A.I.A.A. 26th Aerospace Sciences Conf., Reno, NV, January 11-14, 1987

Grantham, W.J., "ODESSYS: Ordinary Differential Equations Simulation System for Nonlinear Optimization, Controls, and Differential Games," Proc. Third I.E.E.E. Conf. on Computer-Aided Control Systems Design, Arlington, VA, September 1986.

Zalesinski, M., Baker, E., Grantham, W., and Wojcicki, S., "A Control System Model for Coal Dust Flame Acceleration," 1984 Spring Meeting, Western States Section/The Combustion Institute, Boulder, CO, April 1984.

Grantham, W.J. and Wojcicki, S., "Dynamics of a Turbo-Charged Fluidized Bed Combustion System," 1982 Spring Meeting, Western States Section/The Combustion Institute, Salt Lake City, UT, April 1982.

Grantham, W.J. and Brusch, R.G., "Optimal Cruise Missile Maneuvers Against a Continuously Firing Gun," Proc. 40th Military Operations Research Symposium, Monterey, CA, December 1977. (Best Paper, Air Defense Group)

Grantham, W.J., "A Lagrangian Controller for Large-Scale Vector-Valued Systems," Proc. 10th Int'l. Conf. on Systems Sciences, Honolulu, HI, January 1977.

Vincent, T.L., Cliff, E.M., Grantham, W.J., and Peng, W.Y., "Aircraft Collision Avoidance," Proc. Navy Summer Workshop on Differential Games , Annapolis, MD, August 1973.

Vincent, T.L. and Grantham, W.J., "Optimal Control of the Spread of a Contagious Disease," Proc. 6th Int'l Conf. on Systems Sciences, Honolulu, HI, January 1973.

Grantham, W.J., Cliff, E.M., and Vincent, T.L., "On Barriers in a Problem of Collision Avoidance," Proc. 4th Int'l Conf. on Systems Sciences, Honolulu, HI, January 1971.

REPORTS