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Realization theory for linear and bilinear switched systems: A formal power series approach

Part II: Bilinear switched systems*

Published online by Cambridge University Press:  31 March 2010

Mihály Petreczky
Mihály Petreczky*
Affiliation:
Maastricht University, P.O. Box 616, 6200 MD Maastricht, The Netherlands. M.Petreczky@maastrichtuniversity.nl.
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Abstract

This paper is the second part of a series of papers dealing with realization theory of switched systems. The current Part II addresses realization theory of bilinear switched systems. In Part I [Petreczky, ESAIM: COCV, DOI: 10.1051/cocv/2010014] we presented realization theory of linear switched systems. More precisely, in Part II we present necessary and sufficient conditions for a family of input-output maps to be realizable by a bilinear switched system, together with a characterization of minimal realizations. Similarly to Part I, the paper deals with two types of switched systems. The first one is when all switching sequences are allowed. The second one is when only a subset of switching sequences is admissible, but within this restricted set the switching times are arbitrary. The paper uses the theory of formal power series to derive the results on realization theory.

Keywords

Hybrid systems switched linear systemsswitched bilinear systemsrealization theoryformal power seriesminimal realization
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 17 , Issue 2 , April 2011 , pp. 446 - 471
Copyright
© EDP Sciences, SMAI, 2010

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References

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