Geodesic
Consistency and control over spectrum in linear systems with an observer
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2009), pp. 50-80

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The property of consistency of a linear control system with the observer is investigated. New necessary conditions and sufficient conditions for consistency have been obtained. The problem of control over spectrum in the system with a linear incomplete feedback is investigated; necessary and sufficient conditions for the global controllability over the spectrum have been obtained in the case where the system coefficients have a special form. Connection is established between the property of consistency of a stationary system with the observer and the global controllability over the spectrum of the closed-loop system.
Keywords: control system, incomplete feedback, consistency, control over spectrum. 
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     author = {V. A. Zaitsev},
     title = {Consistency and control over spectrum in linear systems with an observer},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {50--80},
     publisher = {mathdoc},
     number = {3},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2009_3_a4/}
}
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V. A. Zaitsev. Consistency and control over spectrum in linear systems with an observer. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2009), pp. 50-80. http://geodesic.mathdoc.fr/item/VUU_2009_3_a4/