A selection of classic publications by Professor Elmer G. Gilbert, made by colleagues and friends, in consultation with Elmer.

1. Gilbert EG, "Controllability and Observability in Multivariable Control Systems," SIAM Journal on Control, Series A, Vol. 2(1), pp. 128-151, 1963.
2. Gilbert EG,. "An Iterative Procedure for Computing the Minimum of a Quadratic Form on a Convex Set," SIAM Journal on Control, Vol. 4, pp. 61-80, 1966. (Presented at the International Conference on Programming and Control, USAF Academy, Colorado Springs, CO, 1965.)
3. Gilbert EG. "The Decoupling of Multivariable Systems by State Feedback," SIAM Journal on Control, Vol. 7(1), pp. 50-63, 1969.
4. Barr RO, Gilbert EG. "Some Efficient Algorithms for a Class of Abstract Optimization Problems Arising in Optimal Control," IEEE Transactions on Automatic Control, Vol. AC14(6), pp. 640-652, 1969.
5. Gilbert EG. "Optimal Periodic Control: A General Theory of Necessary Conditions," SIAM Journal on Control and Optimization, Vol. 15(5), pp. 717-746, 1977. (Presented in part at the 1976 IEEE Conference on Decision and Control, Clearwater, FL.)
6. Gilbert EG. "Functional Expansions for Response of Nonlinear Differential Systems," IEEE Transaction on Automatic Control, Vol. 22(6), pp. 909-921, 1977. (Presented in part at the 1977 Joint Automatic Control Conference, San Francisco, CA.) (Given a best paper award by IEEE Control Systems Society.)
7. Keerthi SS, Gilbert EG. "Computation of Minimum-Time Feedback Control Laws for Discrete-Time Systems with State-Control Constraints," IEEE Transactions on Automatic Control,Vol. 32(5), pp. 432-435, 1987. (Presented in part at the 1986 Conference on Information Sciences and Systems, Princeton University.)
8. Keerthi SS, Gilbert EG. "Optimal Infinite-Horizon Feedback Laws for a General Class of Constrained Discrete-Time Systems: Stability and Moving-Horizon Approximations," Journal of Optimization Theory and Applications, Vol. 57(2), pp. 265-293, 1988. (Presented in part at the 1986 Conference on Information Sciences and Systems, Princeton University.)
9. Gilbert EG, Johnson DW, Keerthi SS. "A Fast Procedure for Computing the Distance Between Complex Objects in 3-Dimensional Space," IEEE Journal of Robotics and Automation, Vol. 4(2), pp. 193-203, 1988. (Presented at the 1987 IEEE International Conference on Robotics and Automation, Raleigh, NC.) (A documented and tested Fortran subroutine implementing the procedure is available.)
10. Gilbert EG, Tan KT. "Linear Systems with State and Control Constraints: The Theory and Application of Maximal Output Admissible Sets," IEEE Transactions on Automatic Control, Vol. 36(9), pp. 1008-1020, 1991. (Presented at the 1991 American Control Conference, Boston, MA.)
11. Gilbert EG, Kolmanovsky I, Tan KT. "Discrete-Time Reference Governors and the Nonlinear Control of Systems with State and Control Constraints," International Journal of Robust and Nonlinear Control, Vol. 5(5), pp. 487-504 , 1995.
12. Ong CJ, Gilbert EG. "Growth Distances: New Measures for Object Separation and Penetration," IEEE Transactions on Robotics and Automation, Vol. 12(6), pp. 888-903, 1996.
13. Kolmanovsky I, Gilbert EG. "Theory and Computation of Disturbance Invariant Sets for Discrete-Time Linear Systems," Mathematical Problems in Engineering, Vol. 4(4), pp. 317-367, 1998.
14. Kolmanovsky I, Gilbert EG. "Fast Reference Governors for Systems with State and Control Constraints and Disturbance Inputs," International Journal of Robust and Nonlinear Control, Vol. 9(15), pp. 1117-1141, 1999.

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