Introduction. In mathematics it is often convenient to consider whole classes of objects instead ... more Introduction. In mathematics it is often convenient to consider whole classes of objects instead of single objects. This point of view is justified by the existence of transformation groups, which carry different objects into one another and define equivalence relations between them. If we are able to find a simple canonical object in each orbit and to investigate the properties of these concrete objects, then we can describe also any other object on the corresponding orbits. The search for canonical forms and their classification is a problem that is very often encountered in mathematics. The group of transformations in optimal control is the feedback group. Finding canonical forms with respect to the feedback group and their classification is a problem that has been investigated by many authors. Brunovsk´y [1] has classified the class of linear systems with respect to the feedback group and introduced a corresponding canonical form, the Brunovsk´y form. Later this problem was inve...
Introduction. In mathematics it is often convenient to consider whole classes of objects instead ... more Introduction. In mathematics it is often convenient to consider whole classes of objects instead of single objects. This point of view is justified by the existence of transformation groups, which carry different objects into one another and define equivalence relations between them. If we are able to find a simple canonical object in each orbit and to investigate the properties of these concrete objects, then we can describe also any other object on the corresponding orbits. The search for canonical forms and their classification is a problem that is very often encountered in mathematics. The group of transformations in optimal control is the feedback group. Finding canonical forms with respect to the feedback group and their classification is a problem that has been investigated by many authors. Brunovsk´y [1] has classified the class of linear systems with respect to the feedback group and introduced a corresponding canonical form, the Brunovsk´y form. Later this problem was inve...
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