Geodesic
Nonregular decoupling with stability of two-output systems
Kybernetika, Tome 38 (2002) no. 5, pp. 553-569 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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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Ruiz-León, Javier; Muñoz, Jorge A. Torres; Lizaola, Francisco. Nonregular decoupling with stability of two-output systems. Kybernetika, Tome 38 (2002) no. 5, pp. 553-569. http://geodesic.mathdoc.fr/item/KYB_2002_38_5_a4/

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