Set-membership Method for Discrete Optimal Control

Rémy Guyonneau, Sébastien Lagrange, Laurent Hardouin, Mehdi Lhommeau

2013

Abstract

.

References

  1. Aubin, J.-P. (1990). A survey of viability theory. SIAM Journal on Control and Optimization, 28(4):749-788.
  2. Aubin, J.-P. (2006). Viability Theory. Systems and Control. Springer Verlag.
  3. Berz, M. and Makino, K. (1998). Verified integration of ODEs and flows using differential algebraic methods on high-order Taylor models. Reliable Computing, 4:361-369.
  4. Delanoue, N., Jaulin, L., Hardouin, L., and Lhommeau, M. (2009). Guaranteed characterization of capture basins of nonlinear state-space systems. In Filipe, J., Cetto, J., and Ferrier, J.-L., editors, Informatics in Control, Automation and Robotics, volume 24 of Lecture Notes in Electrical Engineering, pages 265-272. Springer Berlin Heidelberg.
  5. Dijkstra, E. (1971). EWD316: A Short Introduction to the Art of Programming. Holland.
  6. Jaulin, L., Kieffer, M., Didrit, O., and Walter, E. (2001). Applied Interval Analysis. Springer.
  7. Jaulin, L. and Walter, E. (1993). Set inversion via interval analysis for nonlinear bounded-error estimation. Automatica.
  8. Kirk, D. (2004). Optimal Control Theory: An Introduction. Dover books on engineering. Dover Publications, Incorporated.
  9. Lhommeau, M., Jaulin, L., and Harouin, L. (2011). Capture basin approximation using interval analysis. International Journal of Adaptative Control and Signal Processing.
  10. Moore, R. E. (1966). Interval analysis. Prentice-Hall series in automatic computation. Prentice-Hall.
  11. Nedialkov, N. S., Jackson, K. R., and Corliss, G. F. (1999). Validated solutions of initial value problems for ordinary differential equations. Applied Mathematics and Computation, 105(1):21 - 68.
Download


Paper Citation


in Harvard Style

Guyonneau R., Lagrange S., Hardouin L. and Lhommeau M. (2013). Set-membership Method for Discrete Optimal Control . In Proceedings of the 10th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-8565-70-9, pages 193-200. DOI: 10.5220/0004458001930200


in Bibtex Style

@conference{icinco13,
author={Rémy Guyonneau and Sébastien Lagrange and Laurent Hardouin and Mehdi Lhommeau},
title={Set-membership Method for Discrete Optimal Control},
booktitle={Proceedings of the 10th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2013},
pages={193-200},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004458001930200},
isbn={978-989-8565-70-9},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 10th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - Set-membership Method for Discrete Optimal Control
SN - 978-989-8565-70-9
AU - Guyonneau R.
AU - Lagrange S.
AU - Hardouin L.
AU - Lhommeau M.
PY - 2013
SP - 193
EP - 200
DO - 10.5220/0004458001930200