Geodesic
Stability properties of the discrete Riccati operator equation
Kybernetika, Tome 13 (1977) no. 1, pp. 1-10 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Classification : 93D99, 93E10, 93E20 
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     url = {http://geodesic.mathdoc.fr/item/KYB_1977_13_1_a0/}
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Zabczyk, Jerzy. Stability properties of the discrete Riccati operator equation. Kybernetika, Tome 13 (1977) no. 1, pp. 1-10. http://geodesic.mathdoc.fr/item/KYB_1977_13_1_a0/

[1] R. S. Bucy: Linear and non-linear filtering. Proc. IEEE 55 (1970), 854-864. | MR

[2] P. E. Caines D. Q. Mayne: On the discrete time matrix Riccati equation of optimal control. Int. I. Control 12 (1970), 785-794. | MR

[3] R. S. Bucy: A priori bounds for the Riccati equation. Proc. 6-th Berkeley Symp., vol. 3, 1971, 645-656. | MR

[4] H. Kushner: Introduction to Stochastic Control. Holt, Rinehart and Winston, New York, 1971. | MR | Zbl

[5] V. Kučera: The discrete Riccati equation of optimal control. Kybernetika 5 (1972), 430-447. | MR

[6] G. A. Hewer: Analysis of a discrete matrix Riccati equation of linear control and Kalman filtering. I. Math. Anal. Appl. 42 (1973), 226-236. | MR

[7] K. Y. Lee S. N. Chow R. O. Barn: On the control of discrete-time distributed parameter systems. SIAM J. Control 10 (1972), 361-376. | MR

[8] J. Zabczyk: Remarks on the control of discrete-time distributed parameter systems. SIAM J. Control 12 (1974), 721-735. | MR | Zbl

[9] J. Zabczyk: On optimal stochastic control of discrete-time systems in Hilbert space. SIAM J. Control, 1975, to appear. | MR | Zbl

[10] R. G. Douglas: On majoration, factorization and range indusions of operators in Hilbert space. Proc. Amer. Math. Soc. 2 (1966), 413 - 415. | MR

[11] M. A. Krasnoselskii: Positive Solutions of Operator Equations. P. Noordhoff, Groningen, the Netherlands, 1964. | MR