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» Discrete piecewise linear functions
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ICRA
2006
IEEE
95views Robotics» more  ICRA 2006»
13 years 11 months ago
Discrete Approximations to Continuous Curves
Abstract— We consider the problem of approximating a continuous curve by a piecewise linear one whose segments are assumed to be connected by universal joints. Rather than taking...
Sean B. Andersson
COMPGEOM
2008
ACM
13 years 7 months ago
Reeb spaces of piecewise linear mappings
Generalizing the concept of a Reeb graph, the Reeb space of a multivariate continuous mapping identifies points of the domain that belong to a common component of the preimage of ...
Herbert Edelsbrunner, John Harer, Amit K. Patel
GM
1999
Springer
13 years 10 months ago
Piecewise Linear Wavelets Over Type-2 Triangulations
: The idea of summing pairs of so-called semi-wavelets has been found to be very useful for constructing piecewise linear wavelets over refinements of arbitrary triangulations. In...
Michael S. Floater, Ewald G. Quak
AUTOMATICA
2008
146views more  AUTOMATICA 2008»
13 years 5 months ago
Input-to-state stability and interconnections of discontinuous dynamical systems
In this paper we will extend the input-to-state stability (ISS) framework to continuous-time discontinuous dynamical systems (DDS) adopting piecewise smooth ISS Lyapunov functions...
W. P. M. H. Heemels, Siep Weiland
CDC
2009
IEEE
160views Control Systems» more  CDC 2009»
13 years 10 months ago
On piecewise quadratic control-Lyapunov functions for switched linear systems
— In this paper, we prove that a discrete-time switched linear system is exponentially stabilizable if and only if there exists a stationary hybrid-control law that consists of a...
Wei Zhang, Alessandro Abate, Michael P. Vitus, Jia...