TY - GEN
T1 - Time-domain v-gap robustness analysis for shift-invariant systems
AU - Khong, Sei Zhen
AU - Cantoni, Michael
PY - 2013
Y1 - 2013
N2 - A v-gap measure of distance between linear timeinvariant systems is defined in terms of projections onto system graphs directly, without appealing to the existence of normalised strong graph representations as in the literature. A robust stability result is derived by exploiting an assumption on the compactness of a Hankel-type operator in a similar manner to recent developments on time-varying generalisation of the v-gap metric. For a class of distributed-parameter systems, the proposed v-gap reduces to the original frequency-domain definition.
AB - A v-gap measure of distance between linear timeinvariant systems is defined in terms of projections onto system graphs directly, without appealing to the existence of normalised strong graph representations as in the literature. A robust stability result is derived by exploiting an assumption on the compactness of a Hankel-type operator in a similar manner to recent developments on time-varying generalisation of the v-gap metric. For a class of distributed-parameter systems, the proposed v-gap reduces to the original frequency-domain definition.
KW - Infinitedimensional systems
KW - Linear time-invariant systems
KW - Robust feedback stability
KW - V-gap metric
UR - http://www.scopus.com/inward/record.url?scp=84902341234&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84902341234&partnerID=8YFLogxK
U2 - 10.1109/CDC.2013.6760462
DO - 10.1109/CDC.2013.6760462
M3 - Conference contribution
AN - SCOPUS:84902341234
SN - 9781467357173
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 3756
EP - 3761
BT - 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 52nd IEEE Conference on Decision and Control, CDC 2013
Y2 - 10 December 2013 through 13 December 2013
ER -