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The Lā=L2 Hankel norm of sampled-data systems
- Source :
- CDC
- Publication Year :
- 2016
- Publisher :
- IEEE, 2016.
-
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 -type norm for the past input and the L ā -type 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 -type norm were also considered on the future output.
- Subjects :
- 0209 industrial biotechnology
Pure mathematics
Mathematical optimization
Hankel operator
020208 electrical & electronic engineering
Linear system
02 engineering and technology
Hankel norm
020901 industrial engineering & automation
Aerospace electronics
Norm (mathematics)
0202 electrical engineering, electronic engineering, information engineering
Operator norm
Dual norm
Mathematics
Sampled data systems
Subjects
Details
- Database :
- OpenAIRE
- Journal :
- 2016 IEEE 55th Conference on Decision and Control (CDC)
- Accession number :
- edsair.doi...........567236c19f3445bc0eaa7f4f2207781a