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SCL
2010
124views more  SCL 2010»
13 years 6 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
SIAMCO
2000
52views more  SIAMCO 2000»
13 years 7 months ago
Lyapunov Characterizations of Input to Output Stability
This paper presents necessary and sufficient characterizations of several notions of input to output stability. Similar Lyapunov characterizations have been found to play a key ro...
Eduardo Sontag, Yuan Wang
EAAI
2007
125views more  EAAI 2007»
13 years 7 months ago
Nearly optimal neural network stabilization of bipedal standing using genetic algorithm
In this work, stability control of bipedal standing is investigated. The biped is simplified as an inverted pendulum with a foot-link. The controller consists of a general regres...
Reza Ghorbani, Qiong Wu, G. Gary Wang
CDC
2008
IEEE
147views Control Systems» more  CDC 2008»
14 years 2 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...
HYBRID
2003
Springer
14 years 23 days ago
Approximate Stabilisation of Uncertain Hybrid Systems
Abstract−Stabilization of uncertain hybrid systems with controllable transitions is considered. Uncertainty enters in the form of a disturbance input that can affect both the co...
Yan Gao, John Lygeros, Marc Quincampoix, Nicolas S...