Abstract
In this chapter several basic notions for discrete-time linear systems with time-varying coefficients are introduced. The main attention focuses on exponentially stable and exponentially dichotomic evolutions, which allow to associate an input-state operator between l 2 -spaces. Thus an operator based characterization of the forced evolutions is given and this fact will be a constant point of view during this work. Influence of recent results of Ball, Gohberg and Kaashoek [4] is acknowledged.
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© 1994 Springer Basel AG
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Halanay, A., Ionescu, V. (1994). Evolutions and related basic notions. 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_2
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DOI: https://doi.org/10.1007/978-3-0348-8499-0_2
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9651-1
Online ISBN: 978-3-0348-8499-0
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