White Rose University Consortium logo
University of Leeds logo University of Sheffield logo York University logo

On classical state space realizability of bilinear inout-output differential equations

Kotta, U., Mullari, T., Kotta, P. and Zinober, A.S.I. (2006) On classical state space realizability of bilinear inout-output differential equations. In: Proceedings of the 14th Mediterranean Conference on Control and Automation. 14th Mediterranean Conference on Control and Automation, 28-30 June, 2006, Ancona, Italy. Institute of Electrical and Electronics Engineers , pp. 1-6. ISBN 0-9786720-1-1

Full text available as:
[img] Text
maths_10699.pdf

Download (109Kb)

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

Item Type: Proceedings Paper
Copyright, Publisher and Additional Information: © Copyright 2006 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Keywords: classical state space realizability; continuous-time bilinear input-output; differential equations
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: 12 Apr 2010 08:41
Last Modified: 13 Jun 2014 03:13
Published Version: http://dx.doi.org/10.1109/MED.2006.328729
Status: Published
Publisher: Institute of Electrical and Electronics Engineers
Identification Number: 10.1109/MED.2006.328729
URI: http://eprints.whiterose.ac.uk/id/eprint/10699

Actions (repository staff only: login required)