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AUTOMATICA
2006
76views more  AUTOMATICA 2006»
13 years 5 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
ICINCO
2004
153views Robotics» more  ICINCO 2004»
13 years 6 months ago
Iterative Linear Quadratic Regulator Design for Nonlinear Biological Movement Systems
This paper presents an Iterative Linear Quadratic Regulator (ILQR) method for locally-optimal feedback control of nonlinear dynamical systems. The method is applied to a musculo-s...
Weiwei Li, Emanuel Todorov
CORR
2010
Springer
173views Education» more  CORR 2010»
13 years 5 months ago
Automatic Modular Abstractions for Template Numerical Constraints
c Modular Abstractions for Template Numerical Constraints David Monniaux May 26, 2010 We propose a method for automatically generating abstract transformstatic analysis by abstrac...
David Monniaux
HYBRID
2003
Springer
13 years 10 months ago
Reachability Analysis of Nonlinear Systems Using Conservative Approximation
Abstract. In this paper we present an approach to approximate reachability computation for nonlinear continuous systems. Rather than studying a complex nonlinear system ˙x = g(x),...
Eugene Asarin, Thao Dang, Antoine Girard
SCL
2010
97views more  SCL 2010»
13 years 3 months ago
Krylov subspace methods for model order reduction of bilinear control systems
We discuss the use of Krylov subspace methods with regard to the problem of model order reduction. The focus lies on bilinear control systems, a special class of nonlinear systems...
Tobias Breiten, Tobias Damm