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

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

2005-03-07

arxiv.org/abs/math/0503117v1

Mathematics

Optimization and Control

See http://www.math.rutgers.edu/~sontag/ for related work

Scientific paper

A 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.

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