The discrete Riccati equation of optimal control
Kybernetika, Tome 8 (1972) no. 5, pp. 430-447 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Classification : 93C55, 93E15, 93E20
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     zbl = {0245.93033},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_1972_8_5_a5/}
}
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Kučera, Vladimír. The discrete Riccati equation of optimal control. Kybernetika, Tome 8 (1972) no. 5, pp. 430-447. http://geodesic.mathdoc.fr/item/KYB_1972_8_5_a5/

[1] Birkhoff G., McLane S.: A Survey of Modern Algebra. McMillan, New Yoгk 1965.

[2] Hautus M. L. J.: Stabilization, Controllability and Observability of Linear Autonomous Systems. Nederl. Akad. Wetensch. Proc. Ser. A73 (1970), 448-455. | MR | Zbl

[3] Kučera V.: A Contribution to Matrix Quadratic Equations. IEEE Trans. on Automatic Contгol AC-17 (June 1972), 344-347. | MR

[4] Kučera V.: On Nonnegative Definite Solutions to Matrix Quadratic Equations. In: Proc. 5th IFAC World Congress, Vol. 4, Paris, 1972. Also to appear in Journal Automatica, July 1972. | MR

[5] Kučera V.: State Space Approach to Discrete Lineaг Control. Kybernetika 8 (1972), 3, 233-251. | MR

[6] Mårtensson K.: On the Matrix Riccati Equation. Infoгmation Sciences 3, (1971), 1, 17-49. | MR

[7] Potteг J. E.: Matrix Quadratic Solutions. SIAM J. on Appl. Math. 14 (1966), 3, 496-501. | MR

[8] Sage A. P.: Optimum Systems Control. Prentice-Hall, Englewood Cliffs, N. J. 1968. | MR | Zbl

[9] Wonham W. M.: On a Matrix Riccati Equation of Stochastic Control. SIAM J. on Control 6 (1968), 4, 681-698. | MR

[10] Zadeh L. A., Desoer C. A.: Linear System Theory: The state Space Appгoach. McGгaw-Hill, New York 1963.