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» Discrete piecewise linear functions
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CORR
2010
Springer
115views Education» more  CORR 2010»
13 years 9 months ago
Optimal topological simplification of discrete functions on surfaces
We solve the problem of minimizing the number of critical points among all functions on a surface within a prescribed distance from a given input function. The result is achieved...
Ulrich Bauer, Carsten Lange, Max Wardetzky
SIAMCOMP
1998
92views more  SIAMCOMP 1998»
13 years 8 months ago
Surface Approximation and Geometric Partitions
Motivated by applications in computer graphics, visualization, and scienti c computation, we study the computational complexity of the following problem: Given a set S of n points...
Pankaj K. Agarwal, Subhash Suri
SIAMCO
2010
125views more  SIAMCO 2010»
13 years 3 months ago
Optimal Input-Output Stabilization of Infinite-Dimensional Discrete Time-Invariant Linear Systems by Output Injection
We study the optimal input-output stabilization of discrete time-invariant linear systems in Hilbert spaces by output injection. We show that a necessary and sufficient condition ...
Mark R. Opmeer, Olof J. Staffans
WSC
2008
13 years 11 months ago
Discrete stochastic optimization using linear interpolation
We consider discrete stochastic optimization problems where the objective function can only be estimated by a simulation oracle; the oracle is defined only at the discrete points....
Honggang Wang, Bruce W. Schmeiser
AUTOMATICA
2002
81views more  AUTOMATICA 2002»
13 years 9 months ago
The explicit linear quadratic regulator for constrained systems
For discrete-time linear time invariant systems with constraints on inputs and states, we develop an algorithm to determine explicitly, the state feedback control law which minimi...
Alberto Bemporad, Manfred Morari, Vivek Dua, Efstr...