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Abstract

In Chapter 7 we defined filtering sensitivities, P and M, and showed that they satisfy a complementarity constraint. Furthermore, for the class of BEEs, we derived, in Chapters 8 and 9, interpolation and integral constraints that these sensitivities must satisfy. As seen, these constraints quantify fundamental limits on the filter achievable performance.

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Notes and References

  • The sensitivity results of this chapter are based on Seron (1995). Additional material was taken from Kailath (1981) and Kailath (1968).

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© 1997 Springer-Verlag London Limited

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Seron, M.M., Braslavsky, J.H., Goodwin, G.C. (1997). Extensions to SISO Prediction. In: Fundamental Limitations in Filtering and Control. Communications and Control Engineering. Springer, London. https://doi.org/10.1007/978-1-4471-0965-5_10

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  • DOI: https://doi.org/10.1007/978-1-4471-0965-5_10

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-1244-0

  • Online ISBN: 978-1-4471-0965-5

  • eBook Packages: Springer Book Archive

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