[1] M. Athans P. L. Falb:
Optimal Control. McGraw-Hill, New York 1966.
MR 0204181
[2] R. W. Bass: Machine Solution of High-Order Matrix Riccati Equations. Douglas paper 4538.
[4] S. P. Bingulac M. R. Stojić N. Ćuk: On an Iterative Solution of Time-Invariant Riccati Equation. In: Prepr. JACC, St. Louis, Miss., 1971, 178-182.
[5] T. R. Blackburn:
Solution of the Algebraic Matrix Equation Via Newton-Raphson Iteration. In: Prepr. JACC, Ann Arbor, Mich., 1968, 940-945.
MR 0247753
[6] R. W. Brockett:
Finite Dimensional Linear Systems. John Wiley, New York 1970.
Zbl 0216.27401
[7] A. E. Bryson, Yu-Chi Ho: Applied Optimal Control. Bleisdell, Waltham, Mass. 1969.
[8] R. S. Bucy:
Global Theory of the Riccati Equation. J. Comp. System Sci. 1 (December 1967), 4, 349-361.
MR 0229916 |
Zbl 0155.14403
[9] R. S. Bucy P. D. Joseph:
Filtering for Stochastic Processes with Applications to Guidance. Interscience, New York 1968.
MR 0267946
[10] J. J. O'Donnell: Asymptotic Solution of the Matrix Riccati Equation of Optimal Control. In: Proc. 4th Ann. Allerton Conf. Circuit and Syst. Theory, Urbana, III., 1966, 577-586.
[11] S. E. Dreyfus:
Dynamic Programming and the Calculus of Variations. Academic Press, New York 1965.
MR 0199764 |
Zbl 0193.19401
[12] A. F. Fath:
Computational Aspects of the Linear Optimal Regular Problem. Trans. IEEE AC-14 (October 1968), 547-550.
MR 0274131
[13] M. L. J. Hautus:
Stabilization, Controllability and Observability of Linear Autonomous Systems. Nederl. Akad. Wetensch., Proc. Ser. A73 (1970), 448-455.
MR 0289170 |
Zbl 0212.47302
[14] K. L. Hitz: Relations Between Continuous-Time and Discrete-Time Quadratic Minimization. Ph. D. Thesis, The University of Newcastle, Australia, 1970.
[15] R. E. Kalman:
Contributions to the Theory of Optimal Control. Bol. Soc. Mat. Max. J (1961), 102-119.
MR 0127472
[16] R. E. Kalman: When Is a Linear Control System Optimal?. Trans. ASME, J. Basic Engr. 86D (March 1964), 51-60.
[17] R. E. Kalman R. S. Bucy:
New Results in Linear Prediction and Filtering Theory. Trans. ASME, J. Basic Engr. 83D (1961), 95-100.
MR 0234760
[18] R. E. Kalman T. S. Englar: A Users Manual for the Automatic Synthesis Program. NASA Rept. CR-475, June 1966.
[19] R. E. Kalman P. L. Falb M. A. Arbib:
Topics in Mathematical System Theory. McGraw-Hill, New York, 1969.
MR 0255260
[20] D. L. Kleinman: On the Linear Regulator Problem and the Matrix Riccati Equation. MIT Electronic Systems Lab., Cambridge, Mass, Rept. ESL-R-271, June 1966.
[21] D. L. Kleinman: On an Iterative Technique for Riccati Equation Computations. Trans. IEEE AC-13 (February 1968), 114-115.
[22] V. Kučera:
A Contribution to Matrix Quadratic Equations. Trans. IEEE AC-17 (June 1972), 344-347.
MR 0449830
[23] V. Kučera:
On Nonnegative Definite Solutions to Matrix Quadratic Equations. In: Proc. 5th IFAC Congress Vol. 4, Paris, 1972. Also Automatica 7 (July 1972), 413-423.
MR 0332827
[24] V. Kučera:
The Discrete Riccati Equation of Optimal Control. Kybernetika 8 (1972), 430-447.
MR 0332254
[26] K. Mårtensson:
On the Matrix Riccati Equation. Information Sci. 3 (1971), 1, 17-49.
MR 0280512
[27] A. G. J. McFarlane: An Eigenvector Solution of the Linear Optimal Regulator Problem. J. Electron. Contr. 14 (June 1963).
[28] B. P. Molinari:
The Stabilizing Solution of the Matrix Quadratic Equation. To appear in SIAM J. Control 10 (1972).
MR 0424309
[29] L. S. Pontryagin at al.: The Mathematical Theory of Optimal Processes. Interscience, New York 1961.
[30] J. E. Potter:
Matrix Quadratic Solutions. SIAM J. Appl. Math. 14 (May 1966), 3, 496-501.
MR 0201457 |
Zbl 0144.02001
[31] J. D. Roberts:
Linear Model Reduction and Solution of the Algebraic Riccati Equation by Use of the Sign Function. To appear in Trans. IEEE AC-17 (1972).
MR 0595962
[33] V. Strejc:
State Space Synthesis of Discrete Linear Systems. Kybernetika 8 (1972), 83-113.
MR 0337404 |
Zbl 0254.93028
[34] D. R. Vaughan:
A Negative Exponential Solution for the Matrix Riccati Equation. Trans. IEEE AC-14 (February 1969), 72-75.
MR 0250727
[35] W. M. Wonham: On Pole Assignment in Multi-Input Controllable Linear Systems. Trans. IEEE AC-12 (December 1967), 660-665.
[36] W. M. Wonham:
On a Matrix Riccati Equation of Stochastic Control. SIAM J. Control 6 (1968), 4, 681-698.
MR 0239161