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The first item is the primary reference for the ORACLS program. The second item is the primary reference for the VASP program. The third item is the original report on the Automatic Synthesis Program.

  1. Armstrong, Ernest S.: ORACLS - A System for Linear-Quadratic-Gaussian Control Law Design. NASA Technical Paper 1106, April 1978.
  2. White, John S.; and Lee, Homer Q.: Users Manual for the Variable Dimension Automatic Synthesis Program (VASP). NASA Technical Memorandum X-2417, October 1971.
  3. Kalman, R.E.; and Englar, T.S.: A User's Manual for the Automatic Synthesis Program. NASA Contractor Report 475, June 1966.
  4. Athans, Michael: The Role and Use of the Stochastic Linear-Quadratic-Gaussian Problem in Control System Design. IEEE Trans. Autom. Control, vol. AC-16, no. 6, Dec. 1971, pp. 529-552.
  5. Wilkinson, J.H.; and Reinsch, C.: Handbook for Automatic Computation. Volume II - Linear Algebra. Springer-Verlag, 1971.
  6. Kantorovich, L.V.; and Akilov, G.P. (D.E. Brown, trans.): Functional Analysis in Normed Spaces. A. P. Robertson, ed., MacMillan Co., 1964.
  7. Kwakernaak, Huibert; and Sivan, Raphael: Linear Optimal Control Systems. John Wiley & Sons, Inc., c.1972.
  8. Bartels, R.H.; and Stewart, G.W.: Algorithm 432 - Solution of the Matrix Equation AX + XB = C. Communications of the ACM, vol. 15, no. 9, Sept. 1972, pp. 820-826.
  9. Smith, R.A.: Matrix Equation XA + BX = C. SIAM Journal of Applied Mathematics, vol. 16, no. 2, Mar. 1968, pp. 198-201.
  10. Luenberger, David G.: An Introduction to Observers. IEEE Trans. Autom. Control, vol. AC-16, no. 6, Dec. 1971, pp. 596-602.
  11. Vaughan, David R.: A Negative Exponential Solution for the Matrix Riccati Equation. IEEE Trans. Autom. Control, vol. AC-14, no. 1, Feb. 1969, pp. 72-75.
  12. Kleinman, David L.: On an Iterative Technique for Riccati Equation Computations. IEEE Trans. Autom. Control, vol. AC-13, no. 1, Feb. 1968, pp. 114-115.
  13. Hewer, Gary A.: An Iterative Technique for the Computation of the Steady State Gains for the Discrete Optimal Regulator. IEEE Trans. Autom. Control, vol. AC-16, no. 4, Aug. 1971, pp. 382-383.
  14. Armstrong, Ernest S.: An Extension of Bass' Algorithm for Stabilizing Linear Continuous Constant Systems. IEEE Trans. Autom. Control, vol. AC-20, no. 1, Feb. 1975, pp. 153-154.
  15. Armstrong, Ernest S.; and Rublein, George T.: A Stabilization Algorithm for Linear Discrete Constant Systems. IEEE Trans. Autom. Control, vol. AC-21, no. 4, Aug. 1976, pp. 629-631.
  16. Armstrong, Ernest S.; and Caglayan, Alper K.: An Algorithm for the Weighting Matrices in the Sampled-Data Optimal Linear Regulator Problem. NASA Technical Note D-8372, December 1976.
  17. Tyler, J.S., Jr.: The Characteristics of Model-Following Systems as Synthesized by Optimal Control. IEEE Trans. Autom. Control, vol. AC-9, no. 4, Oct. 1964, pp. 485-498.
  18. Armstrong, E.S.: Digital Explicit Model Following With Unstable Model Dynamics. AIAA Paper No. 74-888, AIAA Mechanics and Control of Flight Conference, Aug. 1974.
  19. Parlett, B.N.; and Reinsch, C.: Balancing a Matrix for Calculation of Eigenvalues and Eigenvectors. Numerical Mathematics, Bd. 13, Heft 4, 1969, pp. 293-304.
  20. Martin, R.S.; and Wilkinson, J.H.: Similarity Reduction of a General Matrix to Hessenberg Form. Numerical Mathematics, Bd. 12, Heft 5, 1968, pp. 349-368.
  21. Martin, R.S.; Peters, G.; and Wilkinson, J.H.: The QR Algorithm for Real Hessenberg Matrices. Numerical Mathematics, Bd. 14, Heft 3, 1970, pp. 219-231.
  22. Källström, Claes: Computing Exp(A) and Integral Exp (As) ds. Rep. 7309, Lund Inst. Technol. (Sweden), Mar. 1973.
  23. Ward, R.C.: Numerical Computation of the Matrix Exponential With Accuracy Estimate. UCCND-CSD-24, Nov. 1975.
  24. Desoer, C.A.: Notes for a Second Course on Linear Systems. Van Nostrand Reinhold Co., c.1970.
  25. Dorato, Peter; and Levis, Alexander H.: Optimal Linear Regulators: The Discrete-Time Case. IEEE Trans. Autom. Control, vol. AC-16, no. 6, Dec. 1971, pp. 613-620.
  26. Levis, Alexander H.; Schlueter, Robert A.; and Athans, Michael: On the Behaviour of Optimal Linear Sampled-Data Regulators. Int. J. Control, vol. 13, no. 2, Feb. 1971, pp. 343-361.
  27. Armstrong, Ernest S.; and Rublein, George T.: A Discrete Analog of the Extended Bass Algorithm for Stabilizing Constant Linear Systems. Proceedings of the 1976 IEEE Conference on Decision and Control Including the 15th Symposium on Adaptive Processes, 76CH1150-2CS, Dec. 1976, pp. 1129-1131.
  28. Åström, Karl J.: Introduction to Stochastic Control Theory. Academic Press, Inc., 1970.
  29. Sandell, Nils R., Jr.: On Newton's Method for Riccati Equation Solution. IEEE Trans. Autom. Control, vol. AC-19, no. 3, June 1974, pp. 254-255.
  30. Anderson, Brian D. O.; and Moore, John B.: Linear Optimal Control. Prentice-Hall, Inc., c.1971.
  31. Wilkinson, J.H.: The Algebraic Eigenvalue Problem. Clarendon Press (Oxford), 1965.
  32. Elliott, Jarrell R.: NASA's Advanced Control Law Program for the F-8 Digital Fly-by-Wire Aircraft. IEEE Trans. Autom. Control, vol. AC-22, no. 5, Oct. 1977, pp. 753-756.
  33. Stein, Gunter; and Henke, Allen H.: A Design Procedure and Handling-Quality Criteria for Lateral-Directional Flight Control Systems. AFFDL-TR-70-152, U.S. Air Force, May 1971.
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