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Title: Notes on a hierarchical theory of systems and applications (English)
Author: Karampetakis, N. P.
Author: Pugh, A. C.
Author: Hayton, G. E.
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 33
Issue: 2
Year: 1997
Pages: 185-201
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Category: math
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MSC: 93A13
MSC: 93A30
MSC: 93B17
MSC: 93C05
MSC: 93C35
idZBL: Zbl 0910.93007
idMR: MR1454278
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Date available: 2009-09-24T19:08:08Z
Last updated: 2012-06-06
Stable URL: http://hdl.handle.net/10338.dmlcz/124303
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Reference: [1] O. H. Bosgra, A. J. J. Van Der Weiden: Realizations in generalized state-space form for polynomial system matrices and the definition of poles, zeros and decoupling zeros at infinity.Internat. J. Control 33 (1981), 393-411. MR 0610894
Reference: [2] G. E. Hayton A. C. Pugh, P. Fretwell: Infinite elementary divisors of a matrix polynomial and implications.Internat. J. Control 47 (1988), 53-64. MR 0929725
Reference: [3] G. E. Hayton A. B. Walker, A. C. Pugh: Infinite frequency structure-preserving transformations for general polynomial system matrices.Internat. J. Control 52 (1990), 1-14. MR 1061020
Reference: [4] N. P. Karampetakis, A. I. G. Vardulakis: Generalized state space system matrix equivalents of a Rosenbrock system matrix.IMA J. Control Inform. 10 (1993), 323-344. Zbl 0807.93009, MR 1376225
Reference: [5] N. P. Karampetakis A. C. Pugh A. I. G. Vardulakis, G. E. Hayton: Generalized state space representations for linear multivariable systems.In: Proceedings of the IEEE Mediterranean Symposium on New Directions in Control Theory and Applications, Chania 1994, pp. 209-216.
Reference: [6] H. H. Rosenbrock: State Space and Multivariable Theory.Nelson, London 1970. Zbl 0246.93010, MR 0325201
Reference: [7] H. H. Rosenbrock, A. C. Pugh: Contributions to a hierarchical theory of systems.Internat. J. Control 19 (1974), 845-867. Zbl 0286.93002, MR 0359888
Reference: [8] A. I. G. Vardulakis: On the transformation of a polynomial matrix model of a linear multivariable system to generalized state space form.In: Proceedings of the 30th IEEE Conference on Decision and Control, Brighton 1991.
Reference: [9] G. C. Verghese: Infinite-frequency Behavior in Generalized Dynamical Systems.Ph. D. Dissertation, Stanford University, Stanford 1978.
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