Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
MR ZblZabczyk, 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/
@article{KYB_1977_13_1_a0,
author = {Zabczyk, Jerzy},
title = {Stability properties of the discrete {Riccati} operator equation},
journal = {Kybernetika},
pages = {1--10},
year = {1977},
volume = {13},
number = {1},
mrnumber = {0453080},
zbl = {0359.49016},
language = {en},
url = {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