Imperial College London

DrBenoitChachuat

Faculty of EngineeringDepartment of Chemical Engineering

Reader in Process Systems Engineering
 
 
 
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Contact

 

b.chachuat Website

 
 
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Location

 

609Roderic Hill BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Villanueva:2013:10.1016/B978-0-444-63234-0.50164-0,
author = {Villanueva, M and Paulen, R and Houska, B and Chachuat, B},
doi = {10.1016/B978-0-444-63234-0.50164-0},
journal = {23 EUROPEAN SYMPOSIUM ON COMPUTER AIDED PROCESS ENGINEERING},
pages = {979--984},
title = {Enclosing the Reachable Set of Parametric ODEs using Taylor Models and Ellipsoidal Calculus},
url = {http://dx.doi.org/10.1016/B978-0-444-63234-0.50164-0},
volume = {32},
year = {2013}
}

RIS format (EndNote, RefMan)

TY  - JOUR
AB - One of the main bottlenecks of state of the art algorithm for global dynamic optimizationis the computation of enclosures of parametric differential equations (ODEs). Afterreviewing existing techniques based on Taylor model propagation and ellipsoidal calculusfor nonlinear dynamic processes, we introduce a novel algorithm for computing suchstate enclosures. Here, the bounding strategy employs a Taylor series with an ellipsoidalremainder bound. We analyze the convergence properties of the new ODE enclosure forsmall parameter intervals and provide conditions under which higher order convergencecan be proven. Moreover, we discuss implementation details and practical advantages byapplying the method to a numerical test example.
AU - Villanueva,M
AU - Paulen,R
AU - Houska,B
AU - Chachuat,B
DO - 10.1016/B978-0-444-63234-0.50164-0
EP - 984
PY - 2013///
SN - 1570-7946
SP - 979
TI - Enclosing the Reachable Set of Parametric ODEs using Taylor Models and Ellipsoidal Calculus
T2 - 23 EUROPEAN SYMPOSIUM ON COMPUTER AIDED PROCESS ENGINEERING
UR - http://dx.doi.org/10.1016/B978-0-444-63234-0.50164-0
VL - 32
ER -