A method for constructing minimal linear-analytic realizations for polynomial systems

For a polynomial nonlinear system described in terms of regular transfer functions, the shift-realization approach to constructing minimal bilinear realizations is modified to yield a method for constructing minimal linear-analytic realizations. For brievity, the case of degree-2 polynomial systems...

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Bibliographic Details
Published in1982 21st IEEE Conference on Decision and Control pp. 723 - 726
Main Author Rugh, Wilson J.
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.12.1982
Subjects
H infinity control
Nonlinear systems
Polynomials
Tin
Transfer functions
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DOI10.1109/CDC.1982.268235

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Summary:For a polynomial nonlinear system described in terms of regular transfer functions, the shift-realization approach to constructing minimal bilinear realizations is modified to yield a method for constructing minimal linear-analytic realizations. For brievity, the case of degree-2 polynomial systems is considered. The degree-3 case can be treated in a similar, explicit fashion, but the notation used here becomes too cumbersome for systems of degree ≥ 4.
DOI:10.1109/CDC.1982.268235