Abstract
In this chapter an operator-based approach of the input-output behaviour of discrete time-variant linear systems is the focus of our attention. More exactly if any linear system has an internal exponentially dichotomic free evolution, then we can always associate to it a linear bounded operator between the l 2 (Z) spaces of the input and output sequences. Such an operator will be called a node. Nodes have remarkable system-theoretic properties which play a central role in solving different tasks of system compensation. From a theoretical viewpoint our study may be considered as a discrete time-variant analogue of the one developed by Bart, Gohberg and Kaashoek (see [5]) for the continuous-time systems.
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© 1994 Springer Basel AG
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Halanay, A., Ionescu, V. (1994). Nodes. In: Time-Varying Discrete Linear Systems. Operator Theory Advances and Applications, vol 68. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8499-0_3
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DOI: https://doi.org/10.1007/978-3-0348-8499-0_3
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9651-1
Online ISBN: 978-3-0348-8499-0
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