Abstract
The aim of this chapter is to recall some basic notions and results of the linear systems theory. Parts of these results are now common facts while others are not usually encountered in the classical literature on the subject. Thus, besides the notions of evolution, stability, controllability and observability, we shall also refer to some elementary facts concerning Hardy spaces, L∞-norms, L2-forced evolution, Hankel and Toeplitz operators, etc.. As the chapter has been thought of as an aide-memoire all the results are sketched without proofs.
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© 1999 Springer Science+Business Media Dordrecht
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Ionescu, V., Stoica, A. (1999). Linear Systems: Some Prerequisites. In: Robust Stabilisation and H∞ Problems. Mathematics and Its Applications, vol 482. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4702-6_1
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DOI: https://doi.org/10.1007/978-94-011-4702-6_1
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-5978-7
Online ISBN: 978-94-011-4702-6
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