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A small-gain theorem with applications to input/output systems, incremental stability, detectability, and interconnections

✍ Scribed by Eduardo D. Sontag; Brian Ingalls


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
192 KB
Volume
339
Category
Article
ISSN
0016-0032

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✦ Synopsis


A general input-to-state stability (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.