3 papers
math.OC2016
Non-conservative discrete-time ISS small-gain conditions for closed sets
Navid Noroozi, Roman Geiselhart, Lars Grüne +2
This paper presents a unification and a generalization of the small-gain theory subsuming a wide range of existing small-gain theorems. In particular, we introduce small-gain condi…
math.NA2010
Stability verification for monotone systems using homotopy algorithms
Björn S. Rüffer, Fabian R. Wirth
A monotone self-mapping of the nonnegative orthant induces a monotone discrete-time dynamical system which evolves on the same orthant. If with respect to this system the origin is…
math.OC2005
An ISS Small-Gain Theorem for General Networks
Sergey Dashkovskiy, Björn S. Rüffer, Fabian R. Wirth
We provide a generalized version of the nonlinear small-gain theorem for the case of more than two coupled input-to-state stable (ISS) systems. For this result the interconnection…