Optimized Eigenstructure Assignment

Ngoc Minh Dao, Dominikus Noll, Pierre Apkarian

Abstract

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References

  1. Apkarian, P. and Noll, D. (2006). Nonsmooth H¥ synthesis. IEEE Trans. Automat. Control, 51(1):71-86.
  2. Burke, J. V. and Overton, M. L. (1994). Differential properties of the spectral abscissa and the spectral radius for analytic matrix-valued mappings. Nonlinear Anal., 23(4):467-488.
  3. Clarke, F. H. (1981). Generalized gradients of Lipschitz functionals. Adv. in Math., 40(1):52-67.
  4. Clarke, F. H. (1983). Optimization and Nonsmooth Analysis. John Wiley & Sons, Inc., New York.
  5. Gabarrou, M., Alazard, D., and Noll, D. (2013). Design of a flight control architecture using a non-convex bundle method. Math. Control Signals Systems, 25(2):257- 290.
  6. Greensite, A. L. (1970). Elements of modern control theory, volume 1 of Control Theory. Spartan Books, New York.
  7. McLean, D. (1990). Automatic flight control systems. Prentice Hall, London.
  8. Nesterov, Y. (2007). Smoothing technique and its applications in semidefinite optimization. Math. Program., Ser. A, 110(2):245-259.
  9. Noll, D. (2010). Cutting plane oracles to minimize nonsmooth non-convex functions. Set-Valued Var. Anal., 18(3-4):531-568.
  10. Noll, D. (2012). Convergence of non-smooth descent methods using the Kurdyka-Lojasiewicz inequality. Preprint.
  11. Noll, D., Prot, O., and Rondepierre, A. (2008). A proximity control algorithm to minimize nonsmooth and nonconvex functions. Pac. J. Optim., 4(3):571-604.
  12. Ostrowski, A. M. (1973). Solutions of Equations in Euclidean and Banach Spaces. Academic Press, New York-London.
  13. Overton, M. L. (1992). Large-scale optimization of eigenvalues. SIAM J. Optim., 2(1):88-120.
  14. Polak, E. (1997). Optimization: Algorithms and Consistent Approximations, volume 124 of Applied Mathematical Sciences. Springer-Verlag, New York.
  15. Rockafellar, R. T. and Wets, R. J.-B. (1998). Variational Analysis. Springer-Verlag, Berlin.
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Paper Citation


in Harvard Style

Minh Dao N., Noll D. and Apkarian P. (2013). Optimized Eigenstructure Assignment . In Proceedings of the 10th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-8565-70-9, pages 307-314. DOI: 10.5220/0004594903070314


in Bibtex Style

@conference{icinco13,
author={Ngoc Minh Dao and Dominikus Noll and Pierre Apkarian},
title={Optimized Eigenstructure Assignment},
booktitle={Proceedings of the 10th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2013},
pages={307-314},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004594903070314},
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 - Optimized Eigenstructure Assignment
SN - 978-989-8565-70-9
AU - Minh Dao N.
AU - Noll D.
AU - Apkarian P.
PY - 2013
SP - 307
EP - 314
DO - 10.5220/0004594903070314