NDLI: On Classical State Space Realizability of Bilinear Input-Output Differential Equations

Content Provider	IEEE Xplore Digital Library
Author	Kotta, U. Mullari, T. Kotta, P. Zinober, A.S.I.
Copyright Year	2006
Description	Author affiliation: Inst. of Cybern., Tallinn Tech. Univ. (Kotta, U.; Mullari, T.; Kotta, P.)
Abstract	This paper studies the realizability property of continuous-time bilinear i/o equations in the classical state space form. Constraints on the parameters of the bilinear i/o model are suggested that lead to realizable models. The paper proves that the 2nd order bilinear i/o differential equation, unlike the discrete-time case, is always realizable in the classical state space form. The complete list of 3rd and 4th order realizable i/o bilinear models is given and two subclasses of realizable i/o bilinear systems are suggested. Our conditions rely basically upon the property that certain combinations of coefficients of the i/o equations are zero or not zero. We provide explicit state equations for all realizable 2nd and 3rd order bilinear i/o equations, and for one realizable subclass of bilinear i/o equations of arbitrary order
Starting Page	1
Ending Page	6
File Size	110276
Page Count	6
File Format	PDF
ISBN	0978672011
DOI	10.1109/MED.2006.328729
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2006-06-28
Publisher Place	Italy
Access Restriction	Subscribed
Rights Holder	MEDITERRANEAN CONTROL ASSOCIATION
Subject Keyword	Nonlinear equations Parameter estimation Control design Differential equations Polynomials State-space methods Control theory System identification Nonlinear systems
Content Type	Text
Resource Type	Article

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