The following is essentially the first part of Chapter XV of a set of notes prepared for a course in Hybrid Computation by Walter J. Karplus (Department of Engineering, Univ. of California) and George A. Bekey. It is one of the series on Education in Simulation promised in the editorial "Education: A Vital Responsibility" in the January issue of SIMULATION.
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References
1.
Brunner, Walter, "An Iteration Procedure for Parametric Model Building and Boundary Value Problems," Proc. Western Joint Computer Conf , pp. 519-533, 1961.
2.
Chernoff, H. and J.B. Crockett, "Gradient Methods of Maximization," Pacific Jour. of Math., v.5, pp. 33-50, 1955.
3.
Chestnut, H. , R.R. Duersch, and W.M. Gaines, "Automatic Optimizing of a Poorly Defined Process," IEEE Trans. on Applications and Industry, pp. 32-41, March 1963.
4.
Curry, H.B., "The Method of Steepest Descent for Nonlinear Minimization Problems ," Quart. App. Math v. 2, pp. 258-261, October 1944.
5.
Elkind, J.I. and D.M. Green, "Measurement of Time-Varying and Nonlinear Dynamic Characteristics of Human Pilots," U.S. Air Force, ASD Technical Report, 61-225, December 1961.
6.
Eykhoff, P., Process Parameter Estimation, Technological University Report, Electronics Laboratory, Delft, Netherlands.
7.
Feldbaum, A.A. , "Automatic Optimalizer," Automation and Remote Control, v. 19, pp. 718-740, August 1958.
8.
Graupe, K.K. , "The Analog Solution of Some Functional Analysis Problems," AIEE Trans (Communications and Electronics) , January 1961, pp. 793-799.
9.
Humphrey, R.E. and G.A. Bekey, "A Technique for Determining the Parameters in a Nonlinear Model of a Human Operator," Report No. 9865-6003-MU000, Space Technology Laboratories, 1 March 1963.
10.
Levine, L. and H.F. Meissinger , "An Automatic Analog Computer Method for Solving Polynomials and Finding Root Loci," 1957IRE Convention Record, v. 5, pt. 4, pp. 164-172, March 1957.
11.
McGhee, R.B. , Identification of Nonlinear Dynamic Systems by Regression Analysis Methods , (Ph.D. dissertation) University of Southern California, Department of Electrical Engineering, June 1963.
12.
Margolis, M. , On the Theory of Process Adaptive Control Systems : The Learning Model Approach , Ph.D. dissertation and Report No. 60-32, University of California at Los Angeles, Department of Engineering, May 1960.
13.
Meissinger, H.F. , "The Use of Parameter Influence Coefficients in Computer Analysis of Dynamic Systems," Proc. Western Joint Computer Conf, pp. 181-192, May 1960.
14.
Munson, J.K. and A. Rubin, "Optimization by Random Search on the Analog Computer," IRE Trans. on Electronic Computers , v. EC-8, pp. 200-209, June 1959.
15.
Norkin, K.B. , "On One Method of Automatic Search for the Extremum of a Function of Many Variables," Automation and Remote Control, v.22, pp. 534-538, 1961.
16.
Ornstein, G.N., Applications of a Technique for the Automatic Determination of Human Response Equation Parameters, (Ph.D. dissertation) Ohio State University, Department of Psychology, 1961.
17.
Potts, T.F., G.N. Ornstein, and A.B. Clymer, "The Automatic Determination of Human and
18.
Other System Parametrs," Proc. Western Joint Computer Conf, v. 19, pp. 645-660, May 1961. 18. Pyne, I.B., "Linear Programming on an Electronic Analog Computer," AIEE Trans. (Communication and Electronics), pp. 139-143.
19.
Rogers, A.E. and T. Connolly, Analog Computation in Engineering Design .
20.
Stakhovskii, R.I., "Twin Channel Automatic Optimalizer," Automation and Remote Control, v. 19, pp. 729-740, J u ly 1958.
21.
Stakhovskii, R.I., L.N. Fitsner and A.B. Shubin, "Automatic Optimizers and Their Use for Solving Variational Problems and for Automatic Synthesis ," Proc. First IFAC Congress on Automatic Control , Butterworths, 1962.
22.
Tompkins, C.B. , "Methods of Steep Descent," pp. 448-479 in Modern Mathematics for the Engineer, ed. by E. F. Beckenbach, McGraw-Hill Book Co., New York, 1956.
23.
Vichnevetsky, R., "One Dimension Iteration on Analog Cornputer ," Electronic Associates, Inc., European Computation Center , E.C.C. Report No. 43, March 1961.
24.
Wertz, H.J., Adaptive Control of Systems Containing the Human Operator, (Ph.D. dissertation), University of Wisconsin, Department of Electrical Engineering, 1962.
25.
Williams, E.J. , Regression Analysis, John Wiley and Sons, New York, 1959.
26.
Witsenhausen, H.S., "Hybrid Techniques Applied to Optimization Problems," Proc. Joint Computer Conference, 1962, pp. 377-392 and Simulation, Fall 1963.
27.
Neustadt, L.W. , "Applications of Linear and Nonlinear Programming Techniques," Proc. 3rd International Analog Computer Conference, Opatija, Sept. 1961, pp. 197-200.
28.
Moser, J.H. , C.O. Reed and H.L. Sellars, "Nonlinear Programming Technique for Analog Computation," Chemical Engineering Progress, June 1961.
