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» Discrete piecewise linear functions
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HYBRID
2010
Springer
13 years 9 months ago
On infinity norms as Lyapunov functions for piecewise affine systems
This paper considers off-line synthesis of stabilizing static feedback control laws for discrete-time piecewise affine (PWA) systems. Two of the problems of interest within this f...
Mircea Lazar, Andrej Jokic
MP
2002
93views more  MP 2002»
13 years 7 months ago
Conditioning of convex piecewise linear stochastic programs
In this paper we consider stochastic programming problems where the objective function is given as an expected value of a convex piecewise linear random function. With an optimal s...
Alexander Shapiro, Tito Homem-de-Mello, Joocheol K...
CDC
2008
IEEE
236views Control Systems» more  CDC 2008»
14 years 2 months ago
Non-monotonic Lyapunov functions for stability of discrete time nonlinear and switched systems
Abstract— We relax the monotonicity requirement of Lyapunov’s theorem to enlarge the class of functions that can provide certificates of stability. To this end, we propose two...
Amir Ali Ahmadi, Pablo A. Parrilo
MOC
2002
151views more  MOC 2002»
13 years 7 months ago
Mixed finite element methods for unilateral problems: convergence analysis and numerical studies
In this paper, we propose and study different mixed variational methods in order to approximate with finite elements the unilateral problems arising in contact mechanics. The discr...
Patrice Coorevits, Patrick Hild, Khalid Lhalouani,...
VMV
2003
154views Visualization» more  VMV 2003»
13 years 9 months ago
Piecewise Linear Approximation of Signed Distance Fields
The signed distance field of a surface can effectively support many geometry processing tasks such as decimation, smoothing, and Boolean operations since it provides efficient a...
Jianhua Wu, Leif Kobbelt