Geodesic
Nonregular decoupling with stability of two-output systems
Kybernetika, Tome 38 (2002) no. 5, p. [553]

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In this paper we present a solution to the decoupling problem with stability of linear multivariable systems with 2 outputs, using nonregular static state feedback. The problem is tackled using an algebraic-polynomial approach, and the main idea is to test the conditions for a decoupling compensator with stability to be feedback realizable. It is shown that the problem has a solution if and only if Morse’s list $I_{2}$ is greater than or equal to the infinite and unstable structure of the proper and stable part of the stable interactor of the system. A constructive procedure to find a state feedback, which achieves decoupling with stability, is also presented.
Classification : 93B11, 93B15, 93C35, 93D05, 93D15
Keywords: linear multivariable system; decoupling; stability 
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     author = {Ruiz-Le\'on, Javier and Mu\~noz, Jorge A. Torres and Lizaola, Francisco},
     title = {Nonregular decoupling with stability of two-output systems},
     journal = {Kybernetika},
     pages = {[553]},
     publisher = {mathdoc},
     volume = {38},
     number = {5},
     year = {2002},
     mrnumber = {1966945},
     zbl = {1265.93203},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2002__38_5_a4/}
}
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Ruiz-León, Javier; Muñoz, Jorge A. Torres; Lizaola, Francisco. Nonregular decoupling with stability of two-output systems. Kybernetika, Tome 38 (2002) no. 5, p. [553]. http://geodesic.mathdoc.fr/item/KYB_2002__38_5_a4/