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STACS
2000
Springer
13 years 9 months ago
The Stability of Saturated Linear Dynamical Systems Is Undecidable
We prove that several global properties (global convergence, global asymptotic stability, mortality, and nilpotence) of particular classes of discrete time dynamical systems are un...
Vincent D. Blondel, Olivier Bournez, Pascal Koiran...
CDC
2008
IEEE
151views Control Systems» more  CDC 2008»
14 years 7 hour 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
2000
71views more  AUTOMATICA 2000»
13 years 5 months ago
Finite gain stabilization of discrete-time linear systems subject to actuator saturation
Xiangyu Bao, Zongli Lin, Eduardo D. Sontag
CDC
2008
IEEE
120views Control Systems» more  CDC 2008»
14 years 7 hour ago
An alternative approach to designing stabilizing compensators for saturating linear time-invariant plants
Abstract— We present a new methodology for designing lowgain linear time-invariant (LTI) controllers for semi-global stabilization of an LTI plant with actuator saturation, that ...
Sandip Roy, Yan Wan, Ali Saberi, Babak Malek
CDC
2009
IEEE
135views Control Systems» more  CDC 2009»
13 years 8 months ago
Stabilization of a class of sandwich nonlinear systems via state feedback
Abstract— In this paper, we consider the problems of semiglobal and global internal stabilization of a class of sandwich systems consisting of two linear systems with a saturatio...
Xu Wang, Anton A. Stoorvogel, Ali Saberi, Hå...