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Vojtenko, Sergej S. Existence conditions for stabilizing and antistabilizing solutions to the nonautonomous matrix Riccati differential equation. Kybernetika, Tome 23 (1987) no. 1, pp. 32-43. http://geodesic.mathdoc.fr/item/KYB_1987_23_1_a3/
@article{KYB_1987_23_1_a3,
author = {Vojtenko, Sergej S.},
title = {Existence conditions for stabilizing and antistabilizing solutions to the nonautonomous matrix {Riccati} differential equation},
journal = {Kybernetika},
pages = {32--43},
year = {1987},
volume = {23},
number = {1},
mrnumber = {883905},
zbl = {0623.34006},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KYB_1987_23_1_a3/}
}
TY - JOUR AU - Vojtenko, Sergej S. TI - Existence conditions for stabilizing and antistabilizing solutions to the nonautonomous matrix Riccati differential equation JO - Kybernetika PY - 1987 SP - 32 EP - 43 VL - 23 IS - 1 UR - http://geodesic.mathdoc.fr/item/KYB_1987_23_1_a3/ LA - en ID - KYB_1987_23_1_a3 ER -
[1] W. T. Reid: Riccati Differential Equations. Academic Press, New York 1972. | MR | Zbl
[2] W. A. Coppel: Disconjugacy. Springer-Verlag, New York 1971. | MR | Zbl
[3] J. C. Willems: Least squares stationary optimal control and the algebraic Riccati equation. IEEE Trans. Automat. Control 16 (1971), 621-634. | MR
[4] V. Kučera: A review of the matrix Riccati equation. Kybernetika 9 (1973), 42-61. | MR
[5] H. Kwakernaak, R. Sivan: Linear optimal control systems. WileyTnterscience, New York 1972. | MR | Zbl
[6] B. D. O. Anderson, J. B. Moore: Linear optimal control. Prentice-Hall, Englewood Cliffs 1971. | MR | Zbl
[7] V. A. Jakubovich: Optimization and invariance of linear stationary control systems. Avtomatika i telemechanika 8 (1984), 5-41. In Russian.
[8] R. E. Reid, al.: An optimal controller arising from minimization of a quadratic performance criterion of indefinite form. IEEE Trans. Automat. Control 28 (1983), 985-987. | Zbl
[9] V. I. Zubov: Theory of optimal control. Sudostroenie, Leningrad 1966. In Russian.
[10] V. I. Zubov: Lections in control theory. Nauka, Moscow 1975. In Russian. | MR
[11] D. L. Kleinman: On an iterative technique for Riccati equation computation. IEEE Trans. Automat. Control 13 (1968), 114-115.
[12] W. M. Wonham: On a matrix Riccati equation of stochastic control. SIAM J. Control 6 (1968), 681-697. | MR
[13] M. Jamshidi: An overview of the solutions of the algebraic Riccati equation and related problems. Large Scale Systems 1 (1980), 167-192. | MR
[14] S. S. Vojtenko, E. J. Smirnov: Theory of optimal stabilization. Leningrad university, Leningrad 1983. In Russian.
[15] S. S. Vojtenko: Universal iterative algorithm for the construction of maximal and minimalbounded solutions of the matrix Riccati equations. In: Algorithmy-85, zborník prednášek 8. sympozia o algorithmach, Vysoké Tatry -Štrbské Pleso, April 15-19, 1985, pp. 338-342.