Moments at "discontinuous signals" with applications: model reduction for hybrid systems and phasor transform for switching circuits
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Accepted version
Author(s)
Scarciotti, G
Astolfi, A
Type
Conference Paper
Abstract
We provide an overview of the theory and applications
of the notion of moment at “discontinuous interpolation
signals”, i.e. the moments of a system for input signals that
do not satisfy a differential equation. After introducing the
theoretical framework, which makes use of an integral matrix
equation in place of a Sylvester equation, we discuss some
applications: the model reduction problem for linear systems at
discontinuous signals, the model reduction problem for hybrid
systems and the discontinuous phasor transform for the analysis
of circuits powered by discontinuous sources.
of the notion of moment at “discontinuous interpolation
signals”, i.e. the moments of a system for input signals that
do not satisfy a differential equation. After introducing the
theoretical framework, which makes use of an integral matrix
equation in place of a Sylvester equation, we discuss some
applications: the model reduction problem for linear systems at
discontinuous signals, the model reduction problem for hybrid
systems and the discontinuous phasor transform for the analysis
of circuits powered by discontinuous sources.
Date Issued
2016-07-12
Date Acceptance
2016-03-25
Citation
Proceedings of the 22nd International Symposium on Mathematical Theory of Networks and Systems
Journal / Book Title
Proceedings of the 22nd International Symposium on Mathematical Theory of Networks and Systems
Copyright Statement
© the authors
Source
22nd International Symposium on Mathematical Theory of Networks and Systems
Publication Status
Accepted
Start Date
2016-07-12
Finish Date
2015-07-15
Coverage Spatial
Minneapolis, Minnesota USA