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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...
CDC
2009
IEEE
147views Control Systems» more  CDC 2009»
13 years 9 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»
13 years 11 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...
AUTOMATICA
2008
146views more  AUTOMATICA 2008»
13 years 5 months ago
Input-to-state stability and interconnections of discontinuous dynamical systems
In this paper we will extend the input-to-state stability (ISS) framework to continuous-time discontinuous dynamical systems (DDS) adopting piecewise smooth ISS Lyapunov functions...
W. P. M. H. Heemels, Siep Weiland
CDC
2009
IEEE
139views Control Systems» more  CDC 2009»
13 years 9 months ago
Input-to-state dynamical stability of interconnected systems
Abstract— We consider networks of input-to-state dynamically stable (ISDS) systems and provide a small gain condition under which the entire network is again ISDS. A Lyapunov for...
Sergey Dashkovskiy, Lars Naujok