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arxiv: 1305.2064 · v1 · pith:WWMHYFAQnew · submitted 2013-05-09 · 🧮 math.DS

A note on power instability of linear discrete-time systems in Banach spaces

classification 🧮 math.DS
keywords instabilitypowerbanachdiscrete-timelinearspacesconceptsconditions
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In this paper we investigate the power instability properties and give necessary and sufficient conditions for the concepts of uniform power instability, power instability and strong power instability for linear discrete-time system $x_{n+1} = A(n)x_{n}$ in Banach spaces.

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