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Skew-product semi-flows and non-autonomous control systems

Abstract:

In this paper we give a necessary and sufficient conditions for exact and approximate controllability of a wide class of linear infinite-dimensional non-autonomous control systems. This is done by employing skew-product semi-flow technique. Finally, we apply these results to prove the controllability of a broad class of non-autonomous reaction diffusion equations in Hilbert spaces. © 2011 Elsevier Inc.