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Karcanias, N.; Leventides, J.; Meintanis, I. (2013)
Languages: English
Types: Article
Subjects: QA
The paper is concerned with defining and parametrising the families of all degenerate compensators (feedback, squaring down etc) emerging in a variety of linear control problems. Such compensators indicate the boundaries of the control design, but they also provide the means for linearising the non-linear nature of the Determinantal Assignment Problems, which provide the unifying description for all frequency assignment problems (pole, zero) under static and dynamic compensation schemes. The conditions provide the means for the selection of appropriate degenerate solutions that allow frequency assignability in the corresponding frequencies.
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    • Karcanias, N. and Giannakopoulos, C (1984): “Grassmann invariants, almost zeros and the determinantal pole-zero assignment problems of linear systems”. International Journal of Control. . 673-698.
    • Karcanias, N. and Giannakopoulos, C. (1988). "Grassmann Matrices, Decomposability of Multivectors and the Determinantal Assignment Problem", in Linear Circuit, Systems and Signal Processing: Theory and Applications, Ed. C. I. Byrnes etc. North Holland, 307-312.
    • Karcanias, N. and Leventides, J. (2007). “Grassman Matrices, Determinantal Assignment Problem and Approximate Decomposability”. Proceedings of 3rd IFAC Symposium on Systems Structure and Control Symposium (SSSC 07), 17- 19 October, Foz do Iguacu, Brazil.
    • Leventides, J. (1993): Algebrogeometric and Topological Methods in Control Theory. PhD Thesis, Control Engineering Centre, City University.
    • Leventides, J. and Karcanias, N. (1995a): “Global Asymtotic Linearisation of the pole placement map: a closed form solution of the output feedback problem”. Automatica. . 1303-1309.
    • Leventides, J. and Karcanias, N. (1996): “Dynamic Pole Assignment Using Global Blow Up Linearisation: Low Complexity Solution”. Journal of Optimization Theory and Applications.
    • Marcus, M (1973): “Finite Dimensional Multilinear Algebra (Parts 1 and 2)”. Marcel Deker. New York.
    • Marcus, M. and Minc, H. (1964): “A Survey of Matrix Theory & Matrix Inequalities”. Allyn & Bacon. Boston.
    • Ravi, M.S. and J. Rosenthal, J (1994). “A smooth compactification of the space of transfer functions with fixed Mcmillan degree”. Acta Appli. Math
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