# 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 (2001)

- Volume: 11, Issue: 6, page 1249-1260
- ISSN: 1641-876X

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topPandolfi, 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 11.6 (2001): 1249-1260. <http://eudml.org/doc/207553>.

@article{Pandolfi2001,

abstract = {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.},

author = {Pandolfi, Luciano},

journal = {International Journal of Applied Mathematics and Computer Science},

keywords = {dissipative systems; linear distributed systems; Popov function; outer factor; factorization; spectral factorization},

language = {eng},

number = {6},

pages = {1249-1260},

title = {Factorization of the Popov function of a multivariable linear distributed parameter system in the non-coercive case: a penalization approach},

url = {http://eudml.org/doc/207553},

volume = {11},

year = {2001},

}

TY - JOUR

AU - Pandolfi, Luciano

TI - Factorization of the Popov function of a multivariable linear distributed parameter system in the non-coercive case: a penalization approach

JO - International Journal of Applied Mathematics and Computer Science

PY - 2001

VL - 11

IS - 6

SP - 1249

EP - 1260

AB - 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.

LA - eng

KW - dissipative systems; linear distributed systems; Popov function; outer factor; factorization; spectral factorization

UR - http://eudml.org/doc/207553

ER -

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