Geodesic
On computing stabilizability radii of linear time-invariant continuous systems
Electronic transactions on numerical analysis, Tome 40 (2013), pp. 407-413.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper we focus on a non-convex and non-smooth singular value optimization problem. Our framework encompasses the distance to stabilizability of a linear system $(A,B)$ when both $A$ and $B$ or only one of them are perturbed. We propose a trisection algorithm for the numerical solution of the singular value optimization problem. This method requires $O(n^4)$ operations on average, where $n$ is the order of the system. Numerical experiments indicate that the method is reliable in practice.
Classification : 65F15, 93D15, 65K10
Keywords: stabilizability radius, optimization, trisection algorithm, linear time-invariant continuous system 
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     author = {Khanh, D.C. and Quyen, H.T. and Thanh, D.D.X.},
     title = {On computing stabilizability radii of linear time-invariant continuous systems},
     journal = {Electronic transactions on numerical analysis},
     pages = {407--413},
     publisher = {mathdoc},
     volume = {40},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2013__40__a4/}
}
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Khanh, D.C.; Quyen, H.T.; Thanh, D.D.X. On computing stabilizability radii of linear time-invariant continuous systems. Electronic transactions on numerical analysis, Tome 40 (2013), pp. 407-413. http://geodesic.mathdoc.fr/item/ETNA_2013__40__a4/