36 search results - page 1 / 8 » An ISS small gain theorem for general networks |
MCSS
2007
Springer
14 years 10 months ago
2007
Springer
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...
73
Voted
CDC
2009
IEEE
15 years 3 months ago
2009
IEEE
— 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 ...
84
Voted
CDC
2008
IEEE
15 years 5 months ago
2008
IEEE
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...
SIAMCO
2010
14 years 9 months ago
2010
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...
70
Voted
CDC
2010
IEEE
14 years 6 months ago
2010
IEEE
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 ...