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State space realization of bilinear continuous-time input0output equations

Kotta, U., Mullari, T., Zinober, A.S.I. and Kotta, P. (2007) State space realization of bilinear continuous-time input0output equations. International Journal of Control, 80 (10). pp. 1607-1615. ISSN 0020-7179

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Abstract

This paper studies the realizability property of continuous-time bilinear input-output (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.

Item Type: Article
Institution: The University of Sheffield
Academic Units: The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield)
Depositing User: Mrs Megan Hobbs
Date Deposited: 22 Mar 2010 11:52
Last Modified: 07 Jun 2010 11:09
Published Version: http://dx.doi.org/10.1080/00207170701447106
Status: Published
Publisher: Taylor & Francis
Identification Number: 10.1080/00207170701447106
URI: http://eprints.whiterose.ac.uk/id/eprint/10642

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