[2] Åström K. J.:
Introduction to Stochastic Control Theory. Academic Press, New York 1970.
MR 0270799
[3] Åström K. J., Jury E. J., Agniel R. G.: A numerical method for the evaluation of complex integrals. IEEE Trans. Automatic Control AC-15 (1970), 4, 468-471.
[4] Barnet S.:
Matrices, polynomials, and linear time-invariant systems. IEEE Trans. Automatic Control AC-18 (1973), 1, 1-10.
MR 0452886
[5] Bourbaki N.: Algèbre, Chapter 5. Hermann & Cie, Paris 1956.
[6] Bourbaki N.: Algèbre, Chapter 8. Hermann & Cie, Paris 1966.
[8] Brockett R. W.:
Finite Dimensional Linear Systems. Wiley, New York 1970.
Zbl 0216.27401
[9] Chang S. S. L.: Synthesis of Optimum Control Systems. McGraw-Hill, New York 1961.
[10] Chen C. T.: Representation of linear time-invariant composite systems. IEEE Trans. Automatic Control AC-13 (1968), 3, 277-283.
[11] Davison E. J.:
On pole assignment in linear systems with incomplete state feedback. IEEE Trans. Automatic Control AC-16 (1970), 3, 348-350.
MR 0286515
[12] Гaнтмaxep Ф. P.: Teopия мaтpиц. Гocтexиздaт, Mocквa 1953.
[13] Hardy G. H., Wright E. M.:
An Introduction to the Theory of Numbers. Clarendon Press, Oxford 1960.
Zbl 0086.25803
[14] Heymann M.:
Comment on pole assignment in multi-input linear systems. IEEE Trans. Automatic Control AC-13 (1968), 6, 748-749.
MR 0274084
[15] Янyшeвcкий P. T.: Teopия линeйныx мнoгocвязныx cиcтeм yпpaвлeния. Hayкa, Mocквa 1973.
[16] Johnson C. D.: Stabilization of linear dynamical systems with output feedback. Proc. 5th IFAC Congress, Paris 1972.
[17] Kalman R. E.:
Contributions to the theory of optimal control. Bol. Soc. Mat. Mexicana 5 (1960), 102-119.
MR 0127472 |
Zbl 0112.06303
[18] Kalman R. E.: On the general theory of control systems. Proc. 1st IFAC Congress, Moscow 1960.
[19] Kalman R. E.:
Mathematical description of linear dynamical systems. SIAM J. Control 1 (1963), 152-192.
MR 0152167 |
Zbl 0145.34301
[20] Kalman R. E.:
Irreducible realizations and the degree of a rational matrix. SIAM J. Control 13 (1965), 2, 520-544.
MR 0182479 |
Zbl 0161.06704
[21] Kalman R. E.:
Algebraic theory of linear systems. Proc. Зrd Allerton Conference on Circuit and System Theory, Illinois 1965, 563-577.
MR 0255261
[22] Kalman R. E.:
Lectures on Controllability and Observability. Centro Internazionale Matematico Estivo 1968.
MR 0280225
[23] Kalman R. E., Falb P. L., Arbib M. A.:
Topics in Mathematical System Theory. McGraw-Hill, New York 1969.
MR 0255260 |
Zbl 0231.49001
[24] Kalman R. E., Bertram J. E.:
A unified approach to the theory of samplingsystems. Journal of the Franklin Institute 267 (1959), 5, 405-436.
MR 0103792
[25] Kučera V.:
The discrete Riccati equation of optimal control. Kybernetika 8 (1972), 5, 430-447.
MR 0332254
[26] Kučera V.:
A contribution to matrix quadгatic equations. IEEE Trans. Automatic Contгol AC-17 (1972), 3, 344-347.
MR 0449830
[27] Kučera V.: On nonnegative definite solutions of matrix quadratic equations. Proc. 5th IFAC Congгess, Paris 1972.
[28] Kučera V.:
On nonegative definite solutions of matrix quadгatic equations. Automatica 8 (1972), 4, 413-423.
MR 0332827
[29] Kučera V.:
A review of the matrix Riccati equation. Kybernetika 9 (1973), 1, 42-61.
MR 0328180
[30] Kučera V.:
Algebraic theory of discrete optimal control for single-variable systems I - Preliminaries. Kybernatika 9 (1973), 2, 94-107.
MR 0337400
[31] Kučera V.:
Algebraic theory of discrete optimal control for single-variable systems II - Open-loop control. Kybernatika 9 (1973), 3, 206-221.
MR 0337401
[32] Kučera V.:
Algebraic theory of discrete optimal control for single-variable systems III - Closed-loop control. Kybernetika 9 (1973), 4, 291-312.
MR 0337402
[33] Kučera V.:
Closed-loop stability of discrete linear single-variable systems. Kybernetika 10 (1974), 2, 162-187.
MR 0343976
[34] Kučera V.:
Constrained optimal control - The algebraic approach. Kybernetika 10 (1974), 4, 317-349.
MR 0395979
[35] Kučera V.:
Algebraic approach to discrete optimal control. To appear in IEEE Trans. Automatic Control.
MR 0432284
[36] Kučera V.: On the minimal order inverses for linear time-invariant discrete systems. Proc. Joint Automatic Control Conference, St. Louis 1971, 312-318.
[37] Kučera V.: The pole assignment in linear systems. Proc. International Conference on Systems and Control, Coimbatore, India, 1973.
[38] Kuroš A. G.:
Kapitoly z obecné algebry. Academia, Prague 1968.
MR 0224404
[41] MacLane S., Birghoff G.:
Algebra. Macmillan, New York 1967.
MR 0214415
[42] Михелович Ш. Х.:
Теория чисел. Высшая скола, Москва 1967.
Zbl 1103.35360
[43] Mitter S. K., Foulkes R.:
Controllability and pole assignment for discrete-time linear systems defined over arbitrary fiеlds. SIAM J. Control 9 (1971), 1, 1-8.
MR 0290826
[45] Morse A. S., Wonham W. M.:
Decoupling and pole assignment by dynamic compensation. SIAM J. Control 8 (1970), 3, 317-337.
MR 0272434 |
Zbl 0204.46401
[46] Nekolný J.: Numerická interpolace a náhrada analytických funkcí. Report No. 357, ÚTIA ČSAV, Prague 1971.
[47] Peterka V., Halousková A.: Tally estimate of Åström model for stochastic systems. Identification and Process Parameter Estimation, 2nd Prague IFAC Symposium, 1970.
[48] Peterka V.:
On steady-state minimum variance control strategy. Kybernetika 8 (1972), 3, 219-232.
MR 0453173 |
Zbl 0256.93070
[49] Rosenbrock H. H.:
State Space and Multivariate Theory. Wiley, New York 1970.
MR 0325201
[50] Roth W. E.:
The equations $AX - YB = C$ and $AX- XB = C$ in matrices. Proc. Amer. Math. Soc. 3 (1952), 390-396.
MR 0047598 |
Zbl 0047.01901
[52] Sain M. K., Massey J. L.:
Invertibility of linear time-invariant systems. IEEE Trans. Automatic Control AC-14 (1969), 2, 141-149.
MR 0246664
[53] Silverman L. M.:
Inversion of multivariable linear systems. IEEE Trans. Automatic Control AC-14 (1969), 3, 270-276.
MR 0267927
[54] Silverman L. M., Payne H. J.:
Input-output structure of linear systems with application to the decoupling problem. SIAM J. Control 9 (1971), 2, 199-233.
MR 0305869 |
Zbl 0242.93030
[55] Strejc V., al.: Syntéza regulačních obvodů s číslicovým počítačem. NČSAV, Prague 1965.
[56] Tou J. T.: Digital and Sampled-data Control Systems. McGraw-Hill, New York 1959.
[57] van der Waerden B. L.: Moderne Algebra, vol. I. Springer, Berlin 1930.
[58] Vostrý Z.:
Нумерический метод спектральной факторизации полиномов. Kybernetika 8 (1972), 4, 323-332.
MR 0331740
[59] Vostrý Z.:
A numerical method of matrix spectral factorization. Kybernetika 8 (1972), 5, 448-470.
MR 0331741
[60] Vostrý Z.: Syntéza lineárního diskrétního řízení podle kvadratického kritéria pro soustavy s nestejným počtem vstupů a výstupů. C.Sc. Thesis, ÚTIA ČSAV, Prague 1973.
[61] Wang S. H., Davison E. J.:
A minimization algorithm for the design of linear multivariable systems. IEEE Trans. Automatic Control AC-18 (1973), 3, 220-225.
MR 0441434 |
Zbl 0261.93010
[62] Wonham W. M.: On pole assignment in multi-input controllable linear systems. IEEE Trans. Automatic Control AC-12 (1967), 6, 660-665.
[63] Wonham W. M., Morse A. S.:
Decoupling and pole assignment in linear multivariable systems - A geometric approach. SIAM J. Control 8 (1970), 1, 1-18.
MR 0270771 |
Zbl 0206.16404
[64] Youla D. C.:
On the factorization of rational matrices. IRE Trans. Information Theory IT-17 (1961), 3, 172-189.
MR 0132753
[65] Zadeh L. A., Desoer C. A.: Linear Systems Theory - The State Space Approach. McGraw-Hill, New York 1963.
[66] Zariski O., Samuel P.:
Commutative Algebra, vols. I and II. Van Nostrand, Princeton, N.J. 1958.
MR 0090581