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A Small-Gain Theorem with Applications to Input/Output Systems, Incremental Stability, Detectability, and Interconnections

Brian Ingalls·Eduardo D. Sontag
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Abstract

A general ISS-type small-gain result is presented. It specializes to a small-gain theorem for ISS operators, and it also recovers the classical statement for ISS systems in state-space form. In addition, we highlight applications to incrementally stable systems, detectable systems, and to interconnections of stable systems.

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Brian Ingalls, Eduardo D. Sontag. 2001-10-30. A Small-Gain Theorem with Applications to Input/Output Systems, Incremental Stability, Detectability, and Interconnections. https://arxiv.org/abs/math/0110317

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