Parameterisation of degenerate solutions of the determinantal assignment problem

Karcanias, N., Leventides, J. & Meintanis, I. (2013). Parameterisation of degenerate solutions of the determinantal assignment problem. System, Structure and Control, 5(1), pp. 516-521. doi: 10.3182/20130204-3-FR-2033.00100

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Abstract

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.

Item Type: Article
Uncontrolled Keywords: Algebraic systems theory; Degenerate compensators; Global linearisation; Linear systems
Subjects: Q Science > QA Mathematics
Divisions: School of Engineering & Mathematical Sciences > Engineering
URI: http://openaccess.city.ac.uk/id/eprint/7290

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