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AUTOMATICA
2006
76views more  AUTOMATICA 2006»
13 years 9 months ago
Nonlinear robust performance analysis using complex-step gradient approximation
In this paper, the complex-step method is applied in the setting of numerical optimisation problems involving dynamical systems modelled as nonlinear differential equations. The m...
Jongrae Kim, Declan G. Bates, Ian Postlethwaite
COMPUTING
2006
119views more  COMPUTING 2006»
13 years 9 months ago
Sparse Grids, Adaptivity, and Symmetry
Sparse grid methods represent a powerful and efficient technique for the representation and approximation of functions and particularly the solutions of partial differential equat...
Harry Yserentant
JMIV
2006
94views more  JMIV 2006»
13 years 9 months ago
Geodesic Shooting for Computational Anatomy
Studying large deformations with a Riemannian approach has been an efficient point of view to generate metrics between deformable objects, and to provide accurate, non ambiguous an...
Michael I. Miller, Alain Trouvé, Laurent Yo...
MP
2006
88views more  MP 2006»
13 years 9 months ago
Bounds on linear PDEs via semidefinite optimization
Using recent progress on moment problems, and their connections with semidefinite optimization, we present in this paper a new methodology based on semidefinite optimization, to ob...
Dimitris Bertsimas, Constantine Caramanis
SCL
2008
62views more  SCL 2008»
13 years 9 months ago
Nuclearity of Hankel operators for ultradifferentiable control systems
Nuclearity of the Hankel operator is a known sufficient condition for convergence of Lyapunov-balanced truncations. We show how a previous result on nuclearity of Hankel operators...
Mark R. Opmeer