TY - GEN
T1 - On Variation Bounding System Operators
AU - Roth, Chaim
AU - Grussler, Christian
N1 - Publisher Copyright: © 2024 EUCA.
PY - 2024
Y1 - 2024
N2 - Bounding or diminishing the number of sign changes and local extrema in a signal is an intrinsic system property in, e.g., low-pass filtering or the over- and undershooting behaviour in the step-response of controlled systems. This work shows how to verify these properties for the observability/controllability operator of a linear time-invariant system under strict external positivity of a set of compound systems, which relaxes/generalizes the standard external positivity notion. In contrast to earlier work, the presented approach is significantly less dependent on a particular realization. The results are demonstrated by bounding the number of sign changes in an impulse response and, thus, the number of local extrema in the step response.
AB - Bounding or diminishing the number of sign changes and local extrema in a signal is an intrinsic system property in, e.g., low-pass filtering or the over- and undershooting behaviour in the step-response of controlled systems. This work shows how to verify these properties for the observability/controllability operator of a linear time-invariant system under strict external positivity of a set of compound systems, which relaxes/generalizes the standard external positivity notion. In contrast to earlier work, the presented approach is significantly less dependent on a particular realization. The results are demonstrated by bounding the number of sign changes in an impulse response and, thus, the number of local extrema in the step response.
UR - http://www.scopus.com/inward/record.url?scp=85200564336&partnerID=8YFLogxK
U2 - https://doi.org/10.23919/ECC64448.2024.10591172
DO - https://doi.org/10.23919/ECC64448.2024.10591172
M3 - منشور من مؤتمر
T3 - 2024 European Control Conference, ECC 2024
SP - 2138
EP - 2142
BT - 2024 European Control Conference, ECC 2024
T2 - 2024 European Control Conference, ECC 2024
Y2 - 25 June 2024 through 28 June 2024
ER -