Kotta, U., Mullari, T., Kotta, P. et al. (1 more author) (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 Jun 2006, Ancona, Italy. Institute of Electrical and Electronics Engineers , pp. 1-6. ISBN 0-9786720-1-1
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
Metadata
Item Type: | Proceedings Paper |
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Authors/Creators: |
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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 |
Dates: |
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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: | 19 Dec 2022 13:24 |
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 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:10699 |