The AstroStat Slog » abstract http://hea-www.harvard.edu/AstroStat/slog Weaving together Astronomy+Statistics+Computer Science+Engineering+Intrumentation, far beyond the growing borders Fri, 09 Sep 2011 17:05:33 +0000 en-US hourly 1 http://wordpress.org/?v=3.4 [Quote] Abstract – There are none. http://hea-www.harvard.edu/AstroStat/slog/2008/quote-abstract-there-are-none/ http://hea-www.harvard.edu/AstroStat/slog/2008/quote-abstract-there-are-none/#comments Fri, 11 Jan 2008 01:57:23 +0000 hlee http://hea-www.harvard.edu/AstroStat/slog/2008/quote-abstract-there-are-none/ From Guaranteed Margins for LQG Regulartors J.C. Doyle (1978) IEEE Transactions on Automatic Control 23(4), pp. 756- 757

The abstract has one sentence: There are none and the first paragraph of this short paper explains the uniqueness of the abstract:

Considerable attention has been given lately to the issue of robustness of linear-quadratic (LQ) regulators. The recent work by Safonov and Athans[1] has extended to the multivariable case the now well-known guarantee of 60(deg) phase and 6dB gain margin for such controllers. However, for even the single-input, single-output case there has remained the question of whether there exist any guaranteed margins for the full LQG (Kalman filter in the loop) regulator. By counterexample, this note answers that question; there are none.

Quoting the whole abstract is an intention of little entertainment, whereas the content may not be of any interests to astronomers and statisticians. There is a long winding evolutionary history in Automatic Control, which has dragged many mathematicians, applied mathematicians, and statisticians (The earlier versions of Kalman filter, AIC, and MDL appeared in this journal).

  1. M.G. Safonov and M. Athans (1977), IEEE Transactions on Automatic Control, 22 (Apr.), pp. 173-179
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