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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62518A 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.16 pages, no figuresOptimization and Control93C10; 93D25A Small-Gain Theorem with Applications to Input/Output Systems, Incremental Stability, Detectability, and Interconnectionstext