We study the construction of an outer factor to a positive definite Popov function of a distributed parameter system. We assume that is a non-negative definite matrix with non-zero determinant. Coercivity is not assumed. We present a penalization approach which gives an outer factor just in the case when there exists any outer factor.
@article{bwmeta1.element.bwnjournal-article-amcv11i6p1249bwm,
author = {Pandolfi, Luciano},
title = {Factorization of the Popov function of a multivariable linear distributed parameter system in the non-coercive case: a penalization approach},
journal = {International Journal of Applied Mathematics and Computer Science},
volume = {11},
year = {2001},
pages = {1249-1260},
zbl = {0999.93060},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv11i6p1249bwm}
}
Pandolfi, Luciano. Factorization of the Popov function of a multivariable linear distributed parameter system in the non-coercive case: a penalization approach. International Journal of Applied Mathematics and Computer Science, Tome 11 (2001) pp. 1249-1260. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv11i6p1249bwm/
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