On exponential stability for linear discrete-time systems in Banach spaces
In this paper we investigate four concepts of exponential stability for difference equations in Banach spaces. Characterizations of these concepts are given. They can be considered as variants for the discrete-time case of the classical results due to Barbashin [6] and Datko [5]. An illustrative exa...
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| Veröffentlicht in: | Computers & mathematics with applications (1987) 2012-06, Vol.63 (11), p.1497-1503 |
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| container_issue | 11 |
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| container_title | Computers & mathematics with applications (1987) |
| container_volume | 63 |
| creator | Popa, Ioan-Lucian Ceauşu, Traian Megan, Mihail |
| description | In this paper we investigate four concepts of exponential stability for difference equations in Banach spaces. Characterizations of these concepts are given. They can be considered as variants for the discrete-time case of the classical results due to Barbashin [6] and Datko [5]. An illustrative example clarifies the relations between these concepts. |
| doi_str_mv | 10.1016/j.camwa.2012.01.027 |
| format | Article |
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| source | Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; ScienceDirect Journals (5 years ago - present) |
| subjects | (Nonuniform) exponential stability Banach space Difference equations Linear discrete-time systems Mathematical models Stability Strongly exponential stability Uniform exponential stability |
| title | On exponential stability for linear discrete-time systems in Banach spaces |
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