Remarks on the Control of Discrete-Time Distributed Parameter Systems
- 1 November 1974
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Control
- Vol. 12 (4) , 721-735
- https://doi.org/10.1137/0312056
Abstract
Summary:We give characterizations for uniform exponential stability and uniform exponential instability of linear skew-product flows in terms of Banach sequence spaces and Banach function spaces, respectively. We present a unified approach for uniform exponential stability and uniform exponential instability of linear skew-product flows, extending some stability theorems due to Neerven, Datko, Zabczyk and RolewiczKeywords
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