A notion of passivity gain and a generalization of the "secant condition" for stability

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74414A generalization of the classical secant condition for the stability of cascades of scalar linear systems is provided for passive systems. The key is the introduction of a quantity that combines gain and phase information for each system in the cascade. For linear one-dimensional systems, the known result is recovered exactly.See http://www.math.rutgers.edu/~sontag/ for related workOptimization and Control93D20;93C10A notion of passivity gain and a generalization of the "secant condition" for stabilitytext