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» An ISS small gain theorem for general networks
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MCSS
2007
Springer
13 years 6 months ago
An ISS small gain theorem for general networks
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...
Sergey Dashkovskiy, Björn Rüffer, Fabian...
CDC
2009
IEEE
147views Control Systems» more  CDC 2009»
13 years 11 months ago
On a small gain theorem for networks of iISS systems
— This paper considers networks consisting of integral input-to-state stable (iISS) subsystems and addresses the problem of verifying iISS property of a given network. First, we ...
Hiroshi Ito, Sergey Dashkovskiy, Fabian Wirth
CDC
2008
IEEE
147views Control Systems» more  CDC 2008»
14 years 1 months ago
Applications of the general Lyapunov ISS small-gain theorem for networks
Abstract— In the framework of the ISS Lyapunov formulation a small gain theorem has recently been proved which allows the explicit construction of Lyapunov functions for intercon...
Sergey Dashkovskiy, Björn Rüffer, Fabian...
SIAMCO
2010
93views more  SIAMCO 2010»
13 years 5 months ago
Small Gain Theorems for Large Scale Systems and Construction of ISS Lyapunov Functions
We consider a network consisting of n interconnected nonlinear subsystems. For each subsystem an ISS Lyapunov function is given that treats the other subsystems as independent inpu...
Sergey Dashkovskiy, Björn Sebastian Rüff...
CDC
2010
IEEE
13 years 1 months ago
Interpreting the iISS small-gain theorem as transient plus ISS small-gain regulation
This paper addresses the problem of establishing stability of interconnections of integral input-to-state stable (iISS) systems. Recently, the small-gain theorem for input-tostate ...
Hiroshi Ito, Randy A. Freeman, Antoine Chaillet