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AUTOMATICA
2006
76views more  AUTOMATICA 2006»
14 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
2007
103views more  COMPUTING 2007»
14 years 9 months ago
An algebraic approach for H-matrix preconditioners
Hierarchical matrices (H-matrices) approximate matrices in a data-sparse way, and the approximate arithmetic for H-matrices is almost optimal. In this paper we present an algebrai...
S. Oliveira, F. Yang
SCL
2008
62views more  SCL 2008»
14 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
SIAMCO
2008
96views more  SIAMCO 2008»
14 years 9 months ago
Nonlinear Optimal Control via Occupation Measures and LMI-Relaxations
We consider the class of nonlinear optimal control problems (OCP) with polynomial data, i.e., the differential equation, state and control constraints and cost are all described by...
Jean B. Lasserre, Didier Henrion, Christophe Prieu...
SIAMSC
2008
133views more  SIAMSC 2008»
14 years 9 months ago
Numerical Variational Methods Applied to Cylinder Buckling
We review and compare different computational variational methods applied to a system of fourth order equations that arises as a model of cylinder buckling. We describe both the di...
Jirí Horák, Gabriel J. Lord, Mark A....