Geodesic
Existence of pole-zero structures in a rational matrix equation arising in a decentralized stabilization of expanding systems
Kybernetika, Tome 38 (2002) no. 2, p. [209]

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A necessary and sufficient condition for the existence of pole and zero structures in a proper rational matrix equation $T_{2} X = T_{1}$ is developed. This condition provides a new interpretation of sufficient conditions which ensure decentralized stabilizability of an expanded system. A numerical example illustrate the theoretical results.
Classification : 93A14, 93B55, 93B60, 93D15
Keywords: pole-zero structure; decentralized stabilizability; expanded system; rational matrix equation 
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     author = {Baksi, Dibyendu and Datta, Kanti B. and Ray, Goshaidas},
     title = {Existence of pole-zero structures in a rational matrix equation arising in a decentralized stabilization of expanding systems},
     journal = {Kybernetika},
     pages = {[209]},
     publisher = {mathdoc},
     volume = {38},
     number = {2},
     year = {2002},
     mrnumber = {1916452},
     zbl = {1265.93003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2002__38_2_a5/}
}
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Baksi, Dibyendu; Datta, Kanti B.; Ray, Goshaidas. Existence of pole-zero structures in a rational matrix equation arising in a decentralized stabilization of expanding systems. Kybernetika, Tome 38 (2002) no. 2, p. [209]. http://geodesic.mathdoc.fr/item/KYB_2002__38_2_a5/