By Danny C. Sorensen, Roger J. B. Wets

ISBN-10: 0444863990

ISBN-13: 9780444863997

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Additional resources for Algorithms and Theory in Filtering and Control: Proceedings of the Workshop on Numerical Techniques for Systems Engineering Problems, Part L

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D. Dissertation, University of Kentucky (January 1980). [2] F. Badawi, A. Lindquist and M. Pavon, "A stochastic realization approach to the smoothing problem", IEEE Transactions on Automatic Control AC-24 (1979) 878-888. [3] F. Badawi, A. Lindquist and M. Pavon, "On the Mayne-Fraser smoothing formula and stochastic realization theory for nonstationary linear stochastic systems", in: Proceedings of the IEEE decision and control conference (December 1979). W. Brockett, Finite dimensional linear systems (Wiley, New York, 1970).

We impose no positivity assumptions on Q and P0. Such matrix Riccati difference equations play an important role in systems theory, and they arise in a certain class of variational problems. During the last decade there has been a considerable interest in so-called fast algorithms to replace the Riccati equation when n is large and when only a few linear combinations of the columns of the solution matrices {P(t); t = 0, 1,2 .... } are required [8, 9, 11, 12, 13, 15]. 4) where V is an n • r and Z an r x r matrix sequence.

Lindquist and G. Picci, "A Hardy space approach to the stochastic realization problem", in: Proceedings of the IEEE decision and control conference (January 1979). [11] A. Lindquist and G. Picci, "On the stochastic realization problem", SIAM Journal on Control and Optimization 17 (1979) 365-389. [12] A. Lindquist and G. Picci, "Realization theory for multivariable stationary Gaussian processes II: State space theory revisited and dynamical representations of finite dimensional state spaces", in: Proceedings of the second international conference on information sciences and systems, Patras, Greece (July 1979).

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Algorithms and Theory in Filtering and Control: Proceedings of the Workshop on Numerical Techniques for Systems Engineering Problems, Part L by Danny C. Sorensen, Roger J. B. Wets


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