The L∞/L2 Hankel operator/norm of sampled-data systems
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SCOPUS
- Title
- The L∞/L2 Hankel operator/norm of sampled-data systems
- Authors
- KIM, JUNG HOON; Hagiwara, Tomomichi; Inai, Akira
- Date Issued
- 2018-10
- Publisher
- Society for Industrial and Applied Mathematics
- Abstract
- 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.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/98861
- DOI
- 10.1137/17M1123146
- ISSN
- 0363-0129
- Article Type
- Article
- Citation
- SIAM Journal on Control and Optimization, vol. 55, no. 5, page. 3685 - 3707, 2018-10
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