Owens, D.H. and Crouch, P.E. (1984) Linear Structures In Bilinear Systems. Research Report. Acse Report 250 . Dept of Automatic Control and System Engineering. University of Sheffield
Abstract
In this paper we study the bilinear system in Rn m x (t)=Ax (t) +{ui (t) N ix (t) i=1 with bounded, measurable controls and identify conditions on A, N1, N2......N and the initial state x0 under which solutions x (t) lie in a proper cone in Rn with vertex {o}. The results have a strong connection with the classical result that the linear system x (t)= Ax (t), xo=xo, in Rn has positive solutions x (t)>o, t>o..........
Metadata
Item Type: | Monograph |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | The Department of Automatic Control and Systems Engineering research reports offer a forum for the research output of the academic staff and research students of the Department at the University of Sheffield. Papers are reviewed for quality and presentation by a departmental editor. However, the contents and opinions expressed remain the responsibility of the authors. Some papers in the series may have been subsequently published elsewhere and you are advised to cite the later published version in these instances. |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Automatic Control and Systems Engineering (Sheffield) > ACSE Research Reports |
Depositing User: | MRS ALISON THERESA BARNETT |
Date Deposited: | 24 Oct 2013 11:58 |
Last Modified: | 25 Oct 2016 13:08 |
Status: | Published |
Publisher: | Dept of Automatic Control and System Engineering. University of Sheffield |
Series Name: | Acse Report 250 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:76806 |