Abstract
This chapter is devoted to the characterization of the “size” of a periodic system. To be precise, we will introduce the notion of norm in a variety of facets: the L2 norm, the L∞ norm and the Hankel norm. Moreover, as a trade-off between the L2 and the L∞ norm, we also introduce the concept of “entropy”. As pointed out herein and in subsequent chapters, each of introduced system measures plays a specific role in diverse classical problems of analysis, filtering and control.
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© 2009 Springer London
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(2009). Norms of Periodic Systems. In: Periodic Systems. Communications and Control Engineering. Springer, London. https://doi.org/10.1007/978-1-84800-911-0_9
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DOI: https://doi.org/10.1007/978-1-84800-911-0_9
Publisher Name: Springer, London
Print ISBN: 978-1-84800-910-3
Online ISBN: 978-1-84800-911-0
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