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CDC
2008
IEEE
151views Control Systems» more  CDC 2008»
15 years 6 months 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 ...
88
Voted
AUTOMATICA
2005
94views more  AUTOMATICA 2005»
14 years 11 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
15 years 4 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»
14 years 10 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»
14 years 10 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...