Frequency Domain Model Validation in Wasserstein Metric Conference Paper

abstract

• This paper connects the time-domain uncertainty propagation approach for model validation in Wasserstein distance 2W2, introduced by the authors in [1], with the frequency domain model validation in the same. To the best of our knowledge, this is the first frequency domain interpretation of Monge-Kantorovich optimal transport. It is shown that the asymptotic 2W2 can be written as functions of the H2 norms of the system gains, which have intuitive meaning. A geometric interpretation for this newly derived frequency-domain formula is given. The geometric interpretation helps us in comparing Wasserstein distance with classical frequency-domain validation metrics like -gap. 2013 AACC American Automatic Control Council.

name of conference

• 2013 American Control Conference

authors

• Bhattacharya, Raktim

published proceedings

• 2013 AMERICAN CONTROL CONFERENCE (ACC)

author list (cited authors)

• Halder, A., & Bhattacharya, R.

citation count

• 1

complete list of authors

• Halder, Abhishek||Bhattacharya, Raktim

publication date

• June 2013

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• Proceedings of the ... American Control Conference. American Control Conference  Journal

Digital Object Identifier (DOI)

• 10.1109/acc.2013.6580754

International Standard Book Number (ISBN) 13

• 9781479901777

start page

• 5845

end page

• 5850

URL

• http://dx.doi.org/10.1109/acc.2013.6580754