Sciweavers

62 search results - page 1 / 13
» On a small gain theorem for networks of iISS systems
Sort
View
CDC
2009
IEEE
147views Control Systems» more  CDC 2009»
13 years 10 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
2010
IEEE
13 years 9 days 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
SIAMCO
2010
93views more  SIAMCO 2010»
13 years 3 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...
MCSS
2007
Springer
13 years 5 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
127views Control Systems» more  CDC 2009»
13 years 10 months ago
Feedback interconnection of open quantum systems: A small gain theorem
Abstract— This paper examines the stability of quantum feedback networks. We introduce a novel characterization, in terms of equivalence classes of operators, that may be used to...
Ram Abhinav Somaraju, Ian R. Petersen