Hagiwara, Tomomichi Inai, Akira Kim, Jung Hoon 2024-01-19T21:34:31Z 2024-01-19T21:34:31Z 2021-09-03 2018-10 0363-0129 https://pubs.kist.re.kr/handle/201004/120878 This paper is concerned with the Hankel operator and the Hankel norm of sampled-data systems. Even though these systems are intrinsically periodically time-varying, no studies have taken this important feature into account in the treatment of the Hankel operator/norm. We characterize the Hankel operator/norm of sampled-data systems adequately under the treatment with the L-2 norm for the past input and the L-infinity norm for the future output. Such treatment still captures the essential issue on the periodicity but contributes to neat arguments compared with the case when the L-2 norm is also considered on the future output. English SIAM PUBLICATIONS INFINITY-INDUCED NORM APPROXIMATION CONVOLUTION THE L-infinity/L-2 HANKEL OPERATOR/NORM OF SAMPLED-DATA SYSTEMS Article 10.1137/17M1123146 1 SIAM JOURNAL ON CONTROL AND OPTIMIZATION, v.56, no.5, pp.3685 - 3707 SIAM JOURNAL ON CONTROL AND OPTIMIZATION 56 5 3685 3707 scie scopus 000448810200023 2-s2.0-85056132164 Automation & Control Systems Mathematics, Applied Automation & Control Systems Mathematics Article INFINITY-INDUCED NORM APPROXIMATION CONVOLUTION sampled-data systems Hankel norm disturbance rejection L-2 L-infinity