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CDC
2008
IEEE
151views Control Systems» more  CDC 2008»
14 years 22 days ago
Analysis of hybrid systems resulting from relay-type hysteresis and saturation: A Lyapunov approach
— This paper studies a class of hybrid systems with linear (or linear plus saturated linear) continuous and discrete dynamics, which are determined by a flow map and jump map, a...
Dan Dai, Ricardo G. Sanfelice, Tingshu Hu, Andrew ...
AUTOMATICA
2005
94views more  AUTOMATICA 2005»
13 years 6 months ago
Further remarks on strict input-to-state stable Lyapunov functions for time-varying systems
We study the stability properties of a class of time-varying nonlinear systems. We assume that non-strict input-to-state stable (ISS) Lyapunov functions for our systems are given ...
Michael Malisoff, Frédéric Mazenc
HYBRID
2009
Springer
13 years 11 months ago
Stabilization of Discrete-Time Switched Linear Systems: A Control-Lyapunov Function Approach
This paper studies the exponential stabilization problem for discrete-time switched linear systems based on a control-Lyapunov function approach. A number of versions of converse c...
Wei Zhang, Alessandro Abate, Jianghai Hu
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
SIAMCO
2010
93views more  SIAMCO 2010»
13 years 4 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...