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» On a small gain theorem for networks of iISS systems
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CDC
2009
IEEE
139views Control Systems» more  CDC 2009»
13 years 10 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
CDC
2008
IEEE
147views Control Systems» more  CDC 2008»
14 years 7 days 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...
ICCAD
2007
IEEE
173views Hardware» more  ICCAD 2007»
14 years 2 months ago
Bounding L2 gain system error generated by approximations of the nonlinear vector field
Abstract— Typical nonlinear model order reduction approaches need to address two issues: reducing the order of the model, and approximating the vector field. In this paper we fo...
Kin Cheong Sou, Alexandre Megretski, Luca Daniel
SCL
2010
124views more  SCL 2010»
13 years 4 months ago
ISDS small-gain theorem and construction of ISDS Lyapunov functions for interconnected systems
We consider networks of input-to-state dynamically stable (ISDS) systems and use a small-gain condition to assure the ISDS property for their interconnection. Under this small-gai...
Sergey Dashkovskiy, Lars Naujok
CDC
2010
IEEE
106views Control Systems» more  CDC 2010»
13 years 23 days ago
Constructive synchronization of networked feedback systems
This paper is concerned with global asymptotic output synchronization in networks of identical feedback systems. Using an operator theoretic approach based on an incremental small ...
Abdullah Omar Hamadeh, Guy-Bart Stan, Jorge M. Gon...