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Advanced H∞ Control pp 67–80Cite as

Birkhäuser

Elements of Nonsmooth Analysis

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Part of the book series: Systems & Control: Foundations & Applications ((SCFA))

Abstract

A differential construct that applies to nonsmooth functions is useful in general. The proximal supergradient admits a very complete calculus for upper semicontinuous functions and perfectly suits the nonsmooth \(\mathcal{L}_{2}\)-gain analysis to be developed in this chapter.

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Author information

Authors and Affiliations

  1. Electronics and Telecommunication, CICESE Research Center, Ensenada, B.C., Mexico

    Yury V. Orlov

  2. Centro de Investigación y Desarrollo de Tecnología Digital, Instituto Politécnico Nacional, Tijuana, B.C., Mexico

    Luis T. Aguilar

Authors
  1. Yury V. Orlov
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  2. Luis T. Aguilar
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Orlov, Y.V., Aguilar, L.T. (2014). Elements of Nonsmooth Analysis. In: Advanced H∞ Control. Systems & Control: Foundations & Applications. Birkhäuser, New York, NY. https://doi.org/10.1007/978-1-4939-0292-7_5

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