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» Nonlinear Systems: Approximating Reach Sets
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HYBRID
2003
Springer
13 years 11 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
HYBRID
2010
Springer
14 years 1 months ago
Accurate hybridization of nonlinear systems
This paper is concerned with reachable set computation for non-linear systems using hybridization. The essence of hybridization is to approximate a non-linear vector field by a s...
Thao Dang, Oded Maler, Romain Testylier
RECOMB
2009
Springer
14 years 6 months ago
Parameter Synthesis in Nonlinear Dynamical Systems: Application to Systems Biology
The dynamics of biological processes are often modeled as systems of nonlinear ordinary differential equations (ODE). An important feature of nonlinear ODEs is that seemingly minor...
Alexandre Donzé, Gilles Clermont, Axel Lega...
EUSFLAT
2009
245views Fuzzy Logic» more  EUSFLAT 2009»
13 years 4 months ago
Universal Approximation of a Class of Interval Type-2 Fuzzy Neural Networks Illustrated with the Case of Non-linear Identificati
Neural Networks (NN), Type-1 Fuzzy Logic Systems (T1FLS) and Interval Type-2 Fuzzy Logic Systems (IT2FLS) are universal approximators, they can approximate any non-linear function....
Juan R. Castro, Oscar Castillo, Patricia Melin, An...
AUTOMATICA
2006
76views more  AUTOMATICA 2006»
13 years 6 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