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The Gap Metric and Internal Stability

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Robust Control Theory in Hilbert Space

Part of the book series: Applied Mathematical Sciences ((AMS,volume 130))

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Abstract

In Section 6.1 we saw that the internal stability of a feedback system {L, C} can be formulated in geometric terms relating the graph of L and C. In this chapter we introduce and study a precise geometric tool, the gap metric, which will allow us to study internal stability from a geometric point of view. This will prepare the grounds for a study of robust stabilization from a point of view seemingly different from that given in Chapter 8.

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References, Notes, and Remarks

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© 1998 Springer Science+Business Media New York

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Feintuch, A. (1998). The Gap Metric and Internal Stability. In: Robust Control Theory in Hilbert Space. Applied Mathematical Sciences, vol 130. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0591-3_9

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  • DOI: https://doi.org/10.1007/978-1-4612-0591-3_9

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-6829-1

  • Online ISBN: 978-1-4612-0591-3

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