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

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

2001-10-30

arxiv.org/abs/math/0110317v1

Mathematics

Optimization and Control

16 pages, no figures

Scientific paper

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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