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Part of the book series: Applications of Mathematics ((SMAP,volume 20))

Abstract

Let (Ω, F, P) be a probability space and let F t , t ≥ 0, be a nondecreasing family of sub-σ-algebras of F. Let η(·) be an (Ω, F t , P) Brownian motion valued in ℝp. For each distribution π = {π1,..., π N } on {1,..., N}, let θ = θ(η;π): Ω → {1,..., N} be an F 0-measurable random variable distributed according to π.

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Notes and References

  1. M. H. A. Davis, Linear Estimation and Stochastic Control, Chapman and Hall, London, 1977.

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  2. A. A. Fel’dbaum, Optimal Control Systems, Academic Press, New York, 1965.

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  3. B. K. Ghosh and C. I. Byrnes, “Simultaneous Stabilization and Simultaneous Pole Placement by Nonswitching Dynamic Compensation,” IEEE Trans. Automat. Control, 28 (1983), 735–741.

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  4. O. Hijab, “The Adaptive LQG Problem, II,” Stochastics, 16 (1986), 25–49.

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  5. P. R. Kumar, “A Survey of Some Results in Stochastic Adaptive Control,” SIAM J. Control Optim., 23 (1985), 329–380.

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© 1987 Springer Science+Business Media New York

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Hijab, O. (1987). The Adaptive LQ Regulator. In: Stabilization of Control Systems. Applications of Mathematics, vol 20. Springer, New York, NY. https://doi.org/10.1007/978-1-4899-0013-5_5

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  • DOI: https://doi.org/10.1007/978-1-4899-0013-5_5

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-3080-4

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