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IMA Journal of Mathematical Control and Information 1989 6(3):309-315; doi:10.1093/imamci/6.3.309
© 1989 by Institute of Mathematics and its Applications
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Nonlinear Input-Output Maps For Bilinear Systems and Stability

B. CHANANE and S. P. BANKS

Department of Control Engineering, University of Sheffield Mappin Street, Sheffield S1 3JD

The aim of this paper is to introduce two nonlinear input-output representations of bilinear systems. Sufficient conditions for a kind of L{infty} stability are derived. These representations are believed to compare favourably with the standard Volterra series representation.


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