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H.H. Rosenbrock. Structural properties of linear dynamical systems. International Journal of Control, 20: 177-189, 1974.

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Limits of Generalized State Space Systems under.. - Hinrichsen, O'Halloran   (Correct)

....one of the fundamental problems in the structure theory of linear state space systems to find a canonical form for the action of the full feedback group on the set of controllable linear systems. This problem was solved by Brunovsky [Bru70] While the pole shifting theorem and Rosenbrock s theorem [Ros74] showed the extent to which the spectra and the invariant factors of a controllable state space system can be changed by state feedback, Brunovsky s Theorem identified a set of invariants which cannot be altered by feedback and which altogether are sufficient to identify a controllable state space ....

H.H. Rosenbrock. Structural properties of linear dynamical systems. International Journal of Control, 20: 177-189, 1974.


A Pencil Approach to High Gain Feedback and Generalized.. - Hinrichsen, O'Halloran (1995)   (Correct)

.... [4] created by Weierstrass (1867) and Kronecker (1890) was the main mathematical source of inspiration for the emerging structure theory of linear state space systems, see [21] 13] In the late seventies and eighties, Rosenbrock s description of linear systems by polynomial system matrices [21] [22] provided a bridge for the application of pencil ideas to generalized state space systems. Pencil ideas were used to work out an adequate equivalence concept for singular systems [22] 23] 20] and to obtain invariants and canonical forms for controllable systems under the action of the state ....

....In the late seventies and eighties, Rosenbrock s description of linear systems by polynomial system matrices [21] 22] provided a bridge for the application of pencil ideas to generalized state space systems. Pencil ideas were used to work out an adequate equivalence concept for singular systems [22], 23] 20] and to obtain invariants and canonical forms for controllable systems under the action of the state feedback group [15] 5] In this paper we apply pencil methods to classify limits of generalized state space systems under high gain feedback. As explained in [7] a natural setting ....

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H.H. Rosenbrock. Structural properties of linear dynamical systems. International Journal of Control, 20:177-189, 1974.


Limits of Generalized State Space Systems under - Proportional And Derivative   (Correct)

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H.H. Rosenbrock. Structural properties of linear dynamical systems. International Journal of Control, 20: 177-189, 1974.


Input-Output Invariants for Descriptor Systems - Stykel   (Correct)

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H.H. Rosenbrock. Structural properties of linear dynamical systems. Internat. J. Control, 20(2):191-202, 1974.

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