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On classical state space realisability of quadratic input-output differential equations.

Kotta, U., Kotta, P., Tonso, M. and Zinober, A.S.I. (2009) On classical state space realisability of quadratic input-output differential equations. International Journal of Control, 82 (7). pp. 1212-1218. ISSN 0020-7179

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Abstract

This article studies the realisability property of continuous-time quadratic input-output (i/o) equations in the classical state space form. Constraints on the parameters of the quadratic i/o model are suggested that lead to realisable models. The complete list of second- and third-order realisable i/o quadratic models is given and two subclasses of the n-th order realisable i/o quadratic 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 realisable second-order quadratic i/o equations, and for one realisable subclass of quadratic i/o equations of arbitrary order.

Item Type: Article
Academic Units: The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield)
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Depositing User: Mrs Megan Hobbs
Date Deposited: 09 Mar 2010 15:29
Last Modified: 07 Jun 2010 11:10
Published Version: http://dx.doi.org/10.1080/00207170802460040
Status: Published
Publisher: Taylor & Francis
Identification Number: 10.1080/00207170802460040
URI: http://eprints.whiterose.ac.uk/id/eprint/10483

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