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Title: Discrete linear regulator revisited (English)
Author: Kučera, Vladimír
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 17
Issue: 1
Year: 1981
Pages: 62-70
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Category: math
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MSC: 15A23
MSC: 49J99
MSC: 93C05
MSC: 93C55
MSC: 93D99
idZBL: Zbl 0462.49014
idMR: MR629349
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Date available: 2009-09-24T17:18:51Z
Last updated: 2012-06-05
Stable URL: http://hdl.handle.net/10338.dmlcz/124383
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Reference: [1] R. E. Kalman: A new approach to linear filtering and prediction problems.Trans. ASME Ser. D. J. Basic Eng. 82 (1960), 35-45.
Reference: [2] N. N. Kazanjian: Bauer-type factorization of positive matrices and the theory of matrix polynomials orthogonal on the unit circle.Ph. D. dissertation, Polytechnic Institute of New York, Farmingdale, 1977.
Reference: [3] V. Kučera: Discrete Linear Control - The Polynomial Equation Approach.Wiley, Chichester 1979. MR 0573447
Reference: [4] V. Kučera: New results in state estimation and regulation.Automatica 77(1981). MR 0632848
Reference: [5] H. H. Rosenbrock: State-space and Multivariable Theory.Wiley, New York 1970. Zbl 0246.93010, MR 0325201
Reference: [6] U. Shaked: A general transfer-function approach to linear stationary filtering and steady-state optimal control problems.Int. J. Control 24 (1976), 741-770. Zbl 0342.93060, MR 0465448
Reference: [7] L. M. Silverman: Discrete Riccati equations - Alternative algorithms, asymptotic properties, and system theory interpretations.In: Advances in Control and Dynamic Systems - Theory and Applications 12 (1976), 313-386. Academic, New York. Zbl 0362.49014, MR 0403748
Reference: [8] Z. Vostrý: New algorithm for polynomial spectral factorization with quadratic convergence.Kybernetika 11 (1975), 415-422. MR 0400658
Reference: [9] D. C. Youla: On the factorization of rational matrices.IRE Trans. Information Theory IT-1 (1961), 172-189. MR 0132753
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