Geodesic
Consistency of linear stationary control systems with the observer of a~special form
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 1 (2010), pp. 22-47

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We consider a linear control system with the observer. We investigate the property of consistency of this system in a special case where consistency is the sufficient condition for global controllability over eigenvalue spectrum of closed-loop system. We prove for systems of the special form that the necessary condition of consistency is not sufficient for dimensions big than $5$. The new sufficient condition of consistency for such systems is discovered.
Keywords: control system, incomplete feedback, consistency, control over spectrum. 
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     author = {V. A. Zaitsev},
     title = {Consistency of linear stationary control systems with the observer of a~special form},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {22--47},
     publisher = {mathdoc},
     number = {1},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2010_1_a2/}
}
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V. A. Zaitsev. Consistency of linear stationary control systems with the observer of a~special form. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 1 (2010), pp. 22-47. http://geodesic.mathdoc.fr/item/VUU_2010_1_a2/