Geodesic
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) no. 6, pp. 1249-1260.

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We study the construction of an outer factor to a positive definite Popov function Pi(iomega) of a distributed parameter system. We assume that Pi(iomega) 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.
Keywords: linear distributed systems, dissipative systems, factorization, outer factor, Popov function
Mots-clés : system elastyczny, system rozpraszający 
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     author = {Pandolfi, L.},
     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},
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Pandolfi, L. 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) no. 6, pp. 1249-1260. http://geodesic.mathdoc.fr/item/IJAMCS_2001_11_6_a1/