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Zero crossings, overshoot and initial undershoot in the step and impulse responses of linear systems

Title data

Damm, Tobias ; Muhirwa, Luc N.:
Zero crossings, overshoot and initial undershoot in the step and impulse responses of linear systems.
In: IEEE Transactions on Automatic Control. Vol. 59 (2014) Issue 7 . - pp. 1925-1929.
ISSN 0018-9286
DOI: https://doi.org/10.1109/TAC.2013.2294616

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Abstract in another language

We consider functions in the time and the frequency domain, and show how the occurrence of real zeros in the frequency domain is related to the number of zero crossings, overshoot and initial undershoot in the time domain. This leads to simple proofs of known facts for linear time-invariant systems and their generalizations in various directions. In particular, we consider time-delay systems and differential systems of fractional order.

Further data

Item Type: Article in a journal
Refereed: Yes
Additional notes: © 2013 IEEE. Personal use is permitted, but republication/redistribution requires IEEE permission.
See http://www.ieee.org/publications_standards/publications/rights/index.html for more information.
Keywords: linear system; polynomials
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Professorship Applied Mathematics (Applied Mathematics)
Profile Fields > Advanced Fields > Nonlinear Dynamics
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Profile Fields
Profile Fields > Advanced Fields
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 24 Mar 2015 08:43
Last Modified: 24 Mar 2015 08:43
URI: https://eref.uni-bayreuth.de/id/eprint/9243