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Part of the book series: Communications and Control Engineering ((CCE))

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Abstract

In this chapter we give the basic versions of the classical small-gain and passivity theorem in the study of closed-loop stability (Sections 2.1 and 2.2). Section 2.3 deals with the relation between passivity and L 2-gain via the scattering representation.

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© 2000 Springer-Verlag London

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van der Schaft, A. (2000). Small-gain and Passivity of Input-Output Maps. In: L2 - Gain and Passivity Techniques in Nonlinear Control. Communications and Control Engineering. Springer, London. https://doi.org/10.1007/978-1-4471-0507-7_2

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  • DOI: https://doi.org/10.1007/978-1-4471-0507-7_2

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-1154-2

  • Online ISBN: 978-1-4471-0507-7

  • eBook Packages: Springer Book Archive

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